New Semester Started Get 50% OFF Study Help! --h --m --s Claim Now

Question Answers

Textbooks

Find textbooks, questions and answers

Oops, something went wrong!

Change your search query and then try again

Result Not Found

Books FREE
Study Help
Tutors
AI Study Planner NEW
Sell Books

Search
Sign In
Register

study help
physics
electricity and magnetism

Physics 2nd edition Alan Giambattista, Betty Richardson, Robert Richardson - Solutions

Two particles, with charges of 20.0 nC and - 20.0 nC, are placed at the points with coordinates (0, 4.00 cm) and (0, -4.00 cm), as shown in Figure P25.28. A particle with charge 10.0 nC is located at the origin.(a) Find the electric potential energy of the configuration of the three fixed
A light unstressed spring has length d. Two identical particles, each with charge q, are connected to the opposite ends of the spring. The particles are held stationary a distance d apart and then released at the same time. The system then oscillates on a horizontal frictionless table. The spring
Two point charges of equal magnitude are located along the y axis equal distances above and below the x axis, as shown in Figure P25.30.(a) Plot a graph of the potential at points along the x axis over the interval -3a (b) Let the charge located at - a be negative and plot the potential along
A small spherical object carries a charge of 8.00 nC. At what distance from the center of the object is the potential equal to 100 V? 50.0 V? 25.0 V? Is the spacing of the equipotentials proportional to the change in potential?
In 1911 Ernest Rutherford and his assistants Geiger and Marsden conducted an experiment in which they scattered alpha particles from thin sheets of gold. An alpha particle, having charge + 2e and mass 6.64 x 10-27 kg, is a product of certain radioactive decays. The results of the experiment led
An electron starts from rest 3.00 cm from the center of a uniformly charged insulating sphere of radius 2.00 cm and total charge 1.00 nC. What is the speed of the electron when it reaches the surface of the sphere?
Calculate the energy required to assemble the array of charges shown in Figure P25.34, where a = 0.200 m, b = 0.400 m, and q = 6.00 +C.
Four identical particles each have charge q and mass m. They are released from rest at the vertices of a square of side L. How fast is each charge moving when their distance from the center of the square doubles?
How much work is required to assemble eight identical point charges, each of magnitude q, at the corners of a cube of side s?
The potential in a region between x = 0 and x = 6.00 m is V = a + bx, where a = 10.0 V and b = -7.00 V/m. Determine (a) The potential at x = 0, 3.00 m, and 6.00 m, and (b) The magnitude and direction of the electric field at x = 0, 3.00 m, and 6.00 m.
The electric potential inside a charged spherical conductor of radius R is given by V = keQ/R, and the potential outside is given by V = keQ/r. Using Er = -dV/dr, derive the electric field (a) inside and (b) outside this charge distribution.
Over a certain region of space, the electric potential is V = 5x - 3x2y + 2yz2. Find the expressions for the x, y, and z components of the electric field over this region. What is the magnitude of the field at the point P that has coordinates (1, 0, -2) m?
Figure P25.40 shows several equipotential lines each labeled by its potential in volts. The distance between the lines of the square grid represents 1.00 cm.(a) Is the magnitude of the field larger at A or at B? Why?(b) What is E at B?(c) Represent what the field looks like by drawing at least
It is shown in Example 25.7 that the potential at a point P a distance a above one end of a uniformly charged rod of length ℓ lying along the x axis is Use this result to derive an expression for the y component of the electric field at P. (Suggestion: Replace a with y.)
Consider a ring of radius R with the total charge Q spread uniformly over its perimeter. What is the potential difference between the point at the center of the ring and a point on its axis a distance 2R from the center?
A rod of length L (Fig P25.43) lies along the x axis with its left end at the origin. It has a non-uniform charge density 1 = 5x, where 5 is a positive constant. (a) What are the units of 5? (b) Calculate the electric potential at A.
For the arrangement described in the previous problem, calculate the electric potential at point B, which lies on the perpendicular bisector of the rod a distance b above the x axis.
Compare this problem with Problem 33 in Chapter 23. A uniformly charged insulating rod of length 14.0 cm is bent into the shape of a semicircle as shown in Figure P23.33. The rod has a total charge of -7.50 μC. Find the electric potential at O, the center of the semicircle.
Calculate the electric potential at point P on the axis of the annulus shown in Figure P25.46, which has a uniform charge density σ.
A wire having a uniform linear charge density A is bent into the shape shown in Figure P25.47. Find the electric potential at point O.
How many electrons should be removed from an initially uncharged spherical conductor of radius 0.300 m to produce a potential of 7.50 kV at the surface?
A spherical conductor has a radius of 14.0 cm and charge of 26.0 μC. Calculate the electric field and the electric potential (a) r = 10.0 cm, (b) r = 20.0 cm, and (c) r = 14.0 cm from the center.
Electric charge can accumulate on an airplane in flight. You may have observed needle-shaped metal extensions on the wing tips and tail of an airplane. Their purpose is to allow charge to leak off before much of it accumulates. The electric field around the needle is much larger than the field
Lightning can be studied with a Van de Graaff generator, essentially consisting of a spherical dome on which charge is continuously deposited by a moving belt. Charge can be added until the electric field at the surface of the dome becomes equal to the dielectric strength of air. Any more charge
The spherical dome of a Van de Graaff generator can be raised to a maximum potential of 600 kV; then additional charge leaks off in sparks, by producing dielectric breakdown of the surrounding dry air, as shown in Figure P25.51. Determine (a) The charge on the dome and (b) The radius of the dome.
The liquid-drop model of the atomic nucleus suggests that high-energy oscillations of certain nuclei can split the nucleus into two unequal fragments plus a few neutrons. The fission products acquire kinetic energy from their mutual Coulomb repulsion. Calculate the electric potential energy (in
On a dry winter day you scuff your leather-soled shoes across a carpet and get a shock when you extend the tip of one finger toward a metal doorknob. In a dark room you see a spark perhaps 5 mm long. Make order-of-magnitude estimates of (a) Your electric potential and (b) The charge on your
The Bohr model of the hydrogen atom states that the single electron can exist only in certain allowed orbits around the proton. The radius of each Bohr orbit is r = n2(0.052 9 nm) where n = 1, 2, 3, . . . . Calculate the electric potential energy of a hydrogen atom when the electron (a) Is in the
An electron is released from rest on the axis of a uniform positively charged ring, 0.100 m from the ring’s center. If the linear charge density of the ring is +0.100 μC/m and the radius of the ring is 0.200 m, how fast will the electron be moving when it reaches the center of the ring?
As shown in Figure P25.57, two large parallel vertical conducting plates separated by distance d are charged so that their potentials are + V0 and -V0. A small conducting ball of mass m and radius R (where R
(a) A uniformly charged cylindrical shell has total charge Q, radius R, and height h. Determine the electric potential at a point a distance d from the right end of the cylinder, as shown in Figure P25.58. (Suggestion: use the result of Example 25.5 by treating the cylinder as a collection of ring
Calculate the work that must be done to charge a spherical shell of radius R to a total charge Q.
Two parallel plates having charges of equal magnitude but opposite sign are separated by 12.0 cm. Each plate has a surface charge density of 36.0 nC/m2. A proton is released from rest at the positive plate. Determine (a) The potential difference between the plates, (b) The kinetic energy of the
A Geiger tube is a radiation detector that essentially consists of a closed, hollow metal cylinder (the cathode) of inner radius ra and a coaxial cylindrical wire (the anode) of radius rb (Fig. P25.61). The charge per unit length on the anode is 1, while the charge per unit length on the cathode is
The results of Problem 61 apply also to an electrostatic precipitator (Figures 25.30 and P25.61). An applied voltage ∆V = Va - Vb = 50.0 kV is to produce an electric field of magnitude 5.50 MV/m at the surface of the central wire. Assume the outer cylindrical wall has uniform radius ra =
From Gauss’s law, the electric field set up by a uniform line of charge is E = (A/ πЄθr) r Where is a unit vector pointing radially away from the line and 1 is the linear charge density along the line, derive an expression for the potential difference between r = r1 and r = r2.
Four balls, each with mass m, are connected by four non-conducting strings to form a square with side a, as shown in Figure P25.64. The assembly is placed on a horizontal non-conducting frictionless surface. Balls 1 and 2 each have charge q, and balls 3 and 4 are uncharged. Find the maximum speed
A point charge q is located at x = -R, and a point charge -2q is located at the origin. Prove that the equipotential surface that has zero potential is a sphere centered at (-4R/3, 0, 0) and having a radius r = 2R/3.
Consider two thin, conducting, spherical shells as shown in Figure P25.66. The inner shell has a radius r1 = 15.0 cm and a charge of 10.0 nC. The outer shell has a radius r2 = 30.0 cm and a charge of -15.0 nC. Find(a) The electric field E and(b) The electric potential V in regions A, B, and C, with
The x axis is the symmetry axis of a stationary uniformly charged ring of radius R and charge Q (Fig. P25.67) a point charge Q of mass M is located initially at the center of the ring. When it is displaced slightly, the point charge accelerates along the x axis to infinity. Show that the ultimate
The thin, uniformly charged rod shown in Figure P25.68 has a linear charge density 1. Find an expression for the electric potential at P.
An electric dipole is located along the y axis as shown in Figure P25.69. The magnitude of its electric dipole moment is defined as p =2qa.(a) At a point P, which is far from the dipole (r >> a), show that the electric potential is(b) Calculate the radial component Er and the perpendicular
When an uncharged conducting sphere of radius a is placed at the origin of an xyz coordinate system that lies in an initially uniform electric field E = E0kˆ, the resulting electric potential is V(x, y, z) = V0 for points inside the sphere and For points outside the sphere, where V0 is the
A disk of radius R (Fig P25.71) has a non-uniform surface charge density 0 = Cr, where C is a constant and r is measured from the center of the disk. Find (by direct integration) the potential at P.
A solid sphere of radius R has a uniform charge density 7 and total charge Q. Derive an expression for its total electric potential energy. (Suggestion: imagine that the sphere is constructed by adding successive layers of concentric shells of charge dq = (4/r 2 dr) 7 and use dU = V dq.)
Charge is uniformly distributed with a density of 100.0 +C/m3 throughout the volume of a cube 10.00 cm on each edge. (a) Find the electric potential at a distance of 5.000 cm from the center of one face of the cube, measured along a perpendicular to the face. Determine the potential to four
A 50-turn rectangular coil of dimensions 5.00 cm + 10.0 cm is allowed to fall from a position where B = 0 to a new position where B = 0.500 T and the magnetic field is directed perpendicular to the plane of the coil. Calculate the magnitude of the average emf that is induced in the coil if the
A flat loop of wire consisting of a single turn of cross-sectional area 8.00 cm2 is perpendicular to a magnetic field that increases uniformly in magnitude from 0.500 T to 2.50 T in 1.00 s. What is the resulting induced current if the loop has a resistance of 2.00 Ω?
A 25-turn circular coil of wire has diameter 1.00 m. It is placed with its axis along the direction of the Earth’s magnetic field of 50.0 /T, and then in 0.200 s it is flipped 180°. An average emf of what magnitude is generated in the coil?
A rectangular loop of area A is placed in a region where the magnetic field is perpendicular to the plane of the loop. The magnitude of the field is allowed to vary in time according to B = Bmaxe-t/r, where Bmax and r are constants. The field has the constant value Bmax for t < 0. (a) Use
A strong electromagnet produces a uniform magnetic field of 1.60 T over a cross-sectional area of 0.200 m2. We place a coil having 200 turns and a total resistance of 20.0 Ω around the electromagnet. We then smoothly reduce the current in the electromagnet until it reaches zero in 20.0 ms.
A magnetic field of 0.200 T exists within a solenoid of 500 turns and a diameter of 10.0 cm. How rapidly (that is, within what period of time) must the field be reduced to zero, if the average induced emf within the coil during this time interval is to be 10.0 kV?
An aluminum ring of radius 5.00 cm and resistance 3.00 x 10-4 Ω is placed on top of a long air-core solenoid with 1 000 turns per meter and radius 3.00 cm, as shown in Figure P31.7. Over the area of the end of the solenoid, assume that the axial component of the field produced by the solenoid
An aluminum ring of radius r1 and resistance R is placed around the top of a long air-core solenoid with n turns per meter and smaller radius r 2 as shown in Figure P31.7. Assume that the axial component of the field produced by the solenoid over the area of the end of the solenoid is half as
(a) A loop of wire in the shape of a rectangle of width w and length L and a long, straight wire carrying a current I lie on a tabletop as shown in Figure P31.9.(a) Determine the magnetic flux through the loop due to the current I.(b) Suppose the current is changing with time according to I = a +
A coil of 15 turns and radius 10.0 cm surrounds a long solenoid of radius 2.00 cm and 1.00 x 103 turns/meter (Fig P31.10) the current in the solenoid changes as I = (5.00 A) sin (120t). Find the induced emf in the 15-turn coil as a function of time.
Find the current through section PQ of length a = 65.0 cm in Figure P31.11. The circuit is located in a magnetic field whose magnitude varies with time according to the expression B = (1.00 x 10-3 T/s) t. Assume the resistance per length of the wire is 0.100 (/m.
A 30-turn circular coil of radius 4.00 cm and resistance 1.00 Ω is placed in a magnetic field directed perpendicular to the plane of the coil. The magnitude of the magnetic field varies in time according to the expression B = 0.010 0t 2 0.040 0t 2, where t is in seconds and B is in tesla.
A long solenoid has n = 400 turns per meter and carries a current given by I = (30.0 A) (1 €“ e-1.60t). Inside the solenoid and coaxial with it is a coil that has a radius of 6.00 cm and consists of a total of N = 250 turns of fine wire (Fig. P31.13). What emf is induced in the coil by
An instrument based on induced emf has been used to measure projectile speeds up to 6 km/s. A small magnet is imbedded in the projectile, as shown in Figure P31.14. The projectile passes through two coils separated by a distance d. As the projectile passes through each coil a pulse of emf is
A coil formed by wrapping 50 turns of wire in the shape of a square is positioned in a magnetic field so that the normal to the plane of the coil makes an angle of 30.0° with the direction of the field. When the magnetic field is increased uniformly from 200 /T to 600 /T in 0.400 s, an emf of
When a wire carries an AC current with a known frequency, you can use a Rogowski coil to determine the amplitude I max of the current without disconnecting the wire to shunt the current in a meter. The Rogowski coil, shown in Figure P31.16, simply clips around the wire. It consists of a toroidal
A toroid having a rectangular cross section (a = 2.00 cm by b = 3.00 cm) and inner radius R = 4.00 cm consists of 500 turns of wire that carries a sinusoidal current I = I max sin wt, with I max = 50.0 A and a frequency f = w/2π = 60.0 Hz. A coil that consists of 20 turns of wire links with the
A piece of insulated wire is shaped into a figure 8, as in Figure P31.18. The radius of the upper circle is 5.00 cm and that of the lower circle is 9.00 cm. The wire has a uniform resistance per unit length of 3.00 Ω/m. A uniform magnetic field is applied perpendicular to the plane of the two
An automobile has a vertical radio antenna 1.20 m long. The automobile travels at 65.0 km/h on a horizontal road where the Earth’s magnetic field is 50.0 /T directed toward the north and downward at an angle of 65.0° below the horizontal. (a) Specify the direction that the automobile should
Consider the arrangement shown in Figure P31.20. Assume that R = 6.00 Ω, ℓ = 1.20 m, and a uniform 2.50-T magnetic field is directed into the page. At what speed should the bar be moved to produce a current of 0.500 A in the resistor?
Figure P31.20 shows a top view of a bar that can slide without friction. The resistor is 6.00 Ω and a 2.50-T magnetic field is directed perpendicularly downward, into the paper. Let ℓ = 1.20 m. (a) Calculate the applied force required to move the bar to the right at a constant speed of
A conducting rod of length ℓ moves on two horizontal, frictionless rails, as shown in Figure P31.20. If a constant force of 1.00 N moves the bar at 2.00 m/s through a magnetic field B that is directed into the page,(a) What is the current through the 8.00-Ω resistor R?(b) What is the
Very large magnetic fields can be produced using a procedure called flux compression. A metallic cylindrical tube of radius R is placed coaxially in a long solenoid of somewhat larger radius. The space between the tube and the solenoid is filled with a highly explosive material. When the explosive
The homo polar generator, also called the Faraday disk, is a low-voltage, high-current electric generator. It consists of a rotating conducting disk with one stationary brush (a sliding electrical contact) at its axle and another at a point on its circumference, as shown in Figure P31.24. A
A flexible metallic wire with linear density 3.00 x 10-3 kg/m is stretched between two fixed clamps 64.0 cm apart and held under tension 267 N. A magnet is placed near the wire as shown in Figure P31.25. Assume that the magnet produces a uniform field of 4.50 mT over a 2.00-cm length at the center
The square loop in Figure P31.26 is made of wires with total series resistance 10.0 (. It is placed in a uniform 0.100-T magnetic field directed perpendicularly into the plane of the paper. The loop, which is hinged at each corner, is pulled as shown until the separation between points A and B is
A helicopter (Figure P31.27) has blades of length 3.00 m, extending out from a central hub and rotating at 2.00 rev/s. If the vertical component of the Earth€™s magnetic field is 50.0 /T, what is the emf induced between the blade tip and the center hub?
Use Lenz€™s law to answer the following questions concerning the direction of induced currents.(a) What is the direction of the induced current in resistor R in Figure P31.28a when the bar magnet is moved to the left?(b) What is the direction of the current induced in the resistor R
A rectangular coil with resistance R has N turns, each of length ℓ and width w as shown in Figure P31.29. The coil moves into a uniform magnetic field B with constant velocity v. What are the magnitude and direction of the total magnetic force on the coil(a) As it enters the magnetic
Two parallel rails with negligible resistance are 10.0 cm apart and are connected by a 5.00-Ω resistor. The circuit also contains two metal rods having resistances of 10.0 Ω and15.0 Ω sliding along the rails (Fig P31.31), the rods are pulled away from the resistor at constant
For the situation shown in Figure P31.32, the magnetic field changes with time according to the expression B = (2.00t 3 - 4.00t 2 + 0.800)T, and r2 = 2R = 5.00 cm.(a) Calculate the magnitude and direction of the force exerted on an electron located at point P2 when t = 2.00 s.(b) At what time is
A magnetic field directed into the page changes with time according to B = (0.030 0t + 2 1.40)T, where t is in seconds. The field has a circular cross section of radius R = 2.50 cm (Fig. P31.32). What are the magnitude and direction of the electric field at point P1 when t = 3.00 s and r1 = 0.020 0
A long solenoid with 1 000 turns per meter and radius 2.00 cm carries an oscillating current given by I = (5.00 A) sin (100,t). What is the electric field induced at a radius r = 1.00 cm from the axis of the solenoid? What is the direction of this electric field when the current is increasing
A coil of area 0.100 m2 is rotating at 60.0 rev/s with the axis of rotation perpendicular to a 0.200-T magnetic field (a) If the coil has 1 000 turns, what is the maximum emf generated in it? (b) What is the orientation of the coil with respect to the magnetic field when the maximum induced
In a 250-turn automobile alternator, the magnetic flux in each turn is ǿB = (2.50 x 10-4 Wb) cos (wt), where w is the angular speed of the alternator. The alternator is geared to rotate three times for each engine revolution. When the engine is running at an angular speed of 1 000 rev/min,
A long solenoid, with its axis along the x axis, consists of 200 turns per meter of wire that carries a steady current of 15.0 A. A coil is formed by wrapping 30 turns of thin wire around a circular frame that has a radius of 8.00 cm. The coil is placed inside the solenoid and mounted on an axis
A bar magnet is spun at constant angular speed w around an axis as shown in Figure P31.38. A stationary flat rectangular conducting loop surrounds the magnet, and at t = 0, the magnet is oriented as shown. Make a qualitative graph of the induced current in the loop as a function of time, plotting
A motor in normal operation carries a direct current of 0.850 A when connected to a 120-V power supply. The resistance of the motor windings is 11.8 (. While in normal operation, (a) what is the back emf generated by the motor? (b) At what rate is internal energy produced in the windings? (c)
A semicircular conductor of radius R = 0.250 m is rotated about the axis AC at a constant rate of 120 rev/min (Fig. P31.40). A uniform magnetic field in all of the lower half of the figure is directed out of the plane of rotation and has a magnitude of 1.30 T.(a) Calculate the maximum value of the
The rotating loop in an AC generator is a square 10.0 cm on a side. It is rotated at 60.0 Hz in a uniform field of 0.800 T. Calculate (a) The flux through the loop as a function of time, (b) The emf induced in the loop, (c) The current induced in the loop for a loop resistance of 1.00 Ω,
Figure P31.42 represents an electromagnetic brake that uses eddy currents. An electromagnet hangs from a railroad car near one rail. To stop the car, a large current is sent through the coils of the electromagnet. The moving electromagnet induces eddy currents in the rails, whose fields oppose the
A conducting rectangular loop of mass M, resistance R, and dimensions w by ℓ falls from rest into a magnetic field B as shown in Figure P31.43. During the time interval before the top edge of the loop reaches the field, the loop approaches a terminal speed vT.(a) Show that vr = MgR / B2w2(b)
An electron moves through a uniform electric field E = (2.50i 2 5.00j) V/m and a uniform magnetic field B = (0.400k) T. Determine the acceleration of the electron when it has a velocity v = 10.0i m/s.
A proton moves through a uniform electric field given by E = 50.0j V/m and a uniform magnetic field B = (0.200i 2 0.300j 2 0.400k) T. Determine the acceleration of the proton when it has a velocity v = 200i m/s.
A steel guitar string vibrates (Figure 31.6). The component of magnetic field perpendicular to the area of a pickup coil nearby is given by B = 50.0 mT 2 (3.20 mT) sin (2, 523 t/s) The circular pickup coil has 30 turns and radius 2.70 mm. Find the emf induced in the coil as a function of time.
Figure P31.47 is a graph of the induced emf versus time for a coil of N turns rotating with angular speed w in a uniform magnetic field directed perpendicular to the axis of rotation of the coil. What If? Copy this sketch (on a larger scale), and on the same set of axes show the graph of emf versus
A technician wearing a brass bracelet enclosing area 0.005 00 m2 places her hand in a solenoid whose magnetic field is 5.00 T directed perpendicular to the plane of the bracelet. The electrical resistance around the circumference of the bracelet is 0.020 0 (. An unexpected power failure causes the
Two infinitely long solenoids (seen in cross section) pass through a circuit as shown in Figure P31.49. The magnitude of B inside each is the same and is increasing at the rate of 100 T/s. What is the current in each resistor?
A conducting rod of length ℓ = 35.0 cm is free to slide on two parallel conducting bars as shown in Figure P31.50. Two resistors R1 = 2.00 Ω and R2 = 5.00 Ω are connected across the ends of the bars to form a loop. A constant magnetic field B = 2.50 T is directed perpendicularly
Suppose you wrap wire onto the core from a roll of cellophane tape to make a coil. Describe how you can use a bar magnet to produce an induced voltage in the coil. What is the order of magnitude of the emf you generate? State the quantities you take as data and their values.
A bar of mass m, length d, and resistance R slides without friction in a horizontal plane, moving on parallel rails as shown in Figure P31.52. A battery that maintains a constant emf Є is connected between the rails, and a constant magnetic field B is directed perpendicularly to the plane of
A particle with a mass of 2.00 x 10-16 kg and a charge of 30.0 nC starts from rest, is accelerated by a strong electric field, and is fired from a small source inside a region of uniform constant magnetic field 0.600 T. The velocity of the particle is perpendicular to the field. The circular orbit
An induction furnace uses electromagnetic induction to produce eddy currents in a conductor, thereby raising the conductor’s temperature. Commercial units operate at frequencies ranging from 60 Hz to about 1 MHz and deliver powers from a few watts to several megawatts. Induction heating can be

Showing 400 - 500 of 8940

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Last

Step by Step Answers

Services

Sitemap
Fun
Definitions
Become Tutor
Used Textbooks
Study Help Categories
Recent Questions
Expert Questions
Campus Wear
Sell Your Books

Company Info

Security
Copyrights
Privacy Policy
Terms & Conditions
SolutionInn Fee
Scholarship
Online Quiz
Give Feedback, Get Rewards

Get In Touch

About Us
Contact Us
Career
Jobs
FAQ
Student Discount
Campus Ambassador

Secure Payment

Download Our App

© 2026 SolutionInn. All Rights Reserved