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physics
electricity and magnetism

Questions and Answers of Electricity and Magnetism

A 1.5-m length of wire carrying 4.5 A of current is oriented horizontally. At that point on the earth’s surface, the dip angle of the earth’s magnetic field makes an angle of 38o to the wire.
The force on a wire carrying 8.75 A is maximum of 1.28N when placed between the pole faces of a magnetic the pole faces are 55.5cm in diameter, what is the approximate strength of the magnetic field?
The magnetic force per meter on a wire is measured to be only 35% of its maximum possible value. Sketch the relationship of the wire and the field if the force had been a maximum, and sketch the
The force on a wire is a maximum of 6.50 X 10-2 N when placed between the pole faces of a magnet. The current flows horizontally to the right and the magnetic field is vertical. The wire is observed
Suppose a straight 1.00-mm diameter copper wire could just ‘’float’’ horizontally in air because of the force due to earth’s magnetic field B, which is horizontal, perpendicular to the
Alpha particles of charge q = +2e and mass m = 6.6 X 10-27 kg are emitted from a radioactive source at a speed of 1.6 X 107 m/s. what magnetic field strength would be required to bend them into a
Two resistors and two uncharged capacitors are arranged as shown in Fig. 19-58. Then a potential difference of 24 V is applied across the combination as shown.(a) What is the potential at point a
Determine the magnetic and direction of the force on an electron traveling 8.75 X 105 m/s horizontally to the east in a vertically upward magnetic field of strength 0.75 T.
What is the resistance of a voltmeter on the 250-V scale if the meter sensitivity is 30,000Ω/V?
Find the direction of the force on a negative charge of each diagram shown in Fig 20-25, where v (green) is the velocity of the charge and B (blue) is the direction of the magnetic field.
An ammeter has a sensitivity of 20,000Ω/V. What current in the galvanometer produces full-scale deflection?
Determine the direction of B for each case in Fig 20-52, where F represents the maximum magnetic forces on a positively charged particle moving with velocity v.
A galvanometer has an internal resistance of 30Ω and deflects full scale for a 50-μ A current. Describe how to use this galvanometer to make (a) An ammeter to read currents up to 30 A,
An electron is projected vertically upward with a speed of 1.70 X 106 m/s into a uniform magnetic field of 0.350 T that is directed horizontally away from the observer. Describe the electron’s path
A 5.0-MeV (kinetic energy) proton enters a 0.20- T field, in a place perpendicular to the field. What is the radius of its path?
A galvanometer has a sensitivity of 35kΩ/V and internal resistance 20.0Ω. How could you make this into? (a) An ammeter that reads 2.0A full scale, or (b) A voltmeter reading 1.00 V
An electron experiences the greatest force as it travels 2.9 X 106 m/s in a magnetic field when it is moving north-ward. The force is upward and of magnitude 7.2 X 10-13N. What are the magnitude and
What is the velocity of a beam of electrons that go undeleted when passing through perpendicular electric and magnetic fields of magnitude 8.8 X 103 V/m And 3.5 X 10-3 T. respectively? What is the
A millimeter reads 10 mA full scale. It consists of a 0.20-Ω resistor in parallel with a 33-Ω galvanometer. How can you change this ammeter to a voltmeter giving a full-scale reading of
A doubly charged helium atom whose mass is 6.6 X 10-27kg is accelerated by a voltage of 2100 V.(a) What will be its radius of curvature if it moves in a plane perpendicular to a uniform 0.340-T
A 45-V battery of negligible internal resistance is connected to a 38-kΩ and a 27-kΩ resistor in series. What reading will a voltmeter, of internal resistance 95 kΩ, give when used
A proton (mass mp), a deuteron (m = 2mp, Q = e), and a alpha particle (m =4mp, Q = 2e) are accelerated by the same potential difference V and then enter a uniform magnetic field B, where they move in
An ammeter whose internal resistance is 63Ω reads 5.25mA when connected in a circuit containing a battery and two resistors in series whose values are 750Ω and 480Ω. What is the
Show that the time T required for a particle of charge q moving with constant speed v to make one circular revolution in a uniform magnetic field B (┴ v) is.
A battery with ε = 12.0 V and internal resistance r = 1.0Ω is connected to two 9.0-k Ω resistors in series. And ammeter of internal resistance 0.50 Ω measures the current and
A particle of charge q moves in a circular path of radius r in a uniform magnetic field B. show that its momentum is p = qBr.
Two 9.4-kΩ resistors are placed in series and connected to a battery. A voltmeter of sensitivity 1000Ω/V is on the 3.0-V scale and reads 2.0V when placed across either resistor. What is
A particle of mass m and charge q movies in a circular path in a magnetic field B. show that its kinetic energy is proportional to r2 , the square of the radius curvature of its path.
What internal resistance should the voltmeter of Example 19-15 have to be in error by less than 3%?
Show that the angular momentum of the particle in problem 21 is L = qBr2 about the center of the circle.
When the resistor R in Fig. 19-59 is 35Ω, the high-resistance voltmeter reads 9.7 V. When R is replaced by a 9.0-Ω resistor, the voltmeter reading drops to 8.1 V what are the emf and
A 3.40-g bullet moves with a speed of 160m/s perpendicular to the earth’s magnetic field 5.00 X 10-5 T. if the bullet possesses a net charge of 13.5 X 10-9 C, by what distance will it be deflected
Suppose that you wish to apply a 0.25-V potential difference between two points on the human body. The resistance is about 2000 Ω, and you only have a 9.0-V battery. How can you connect up one
Suppose the earth’s magnetic field at the equator has magnitude 0.40 X 10-4 T and northerly direction at all points. Estimate the speed a singly ionized uranium ion (m = 238 u, q = e) would need to
A three-way lightbulb can produce 50 W, 100 W, or 150 W, at 120 V. Such a bulb contains two filaments what can be connected to the 120V individually or in parallel.(a) Describe how the connections to
Suppose you want to run some apparatus that is 95 m from an electric outlet. Each of the wires connecting you apparatus to the 120-V source has a resistance per unit length of 0.0065Ω/m. If
A proton moving with speed v = 2.0 X 105 m/s in a field-free region abruptly enters an essentially uniform magnetic field B = 0.850 T (B ┴ v). If the proton enters the magnetic field region at
Electricity can be a hazard in hospitals, particularly to patients who are connected to electrodes, such as an EGG. For example, suppose that the motor of a motorized bed shorts out to the bed frame,
A jumper cable used to start a stalled vehicle carries a 65-A current. How strong is the magnetic field 6.0 cm away from it? Compare to the Earth’s magnetic field.
How much energy must a 45-V battery expend to charge a 0.40-μF capacitor fully when they are placed? (a) In parallel, (b) In series? (c) How much charge flowed from the battery in each case?
If an electric wire is allowed to produce a magnetic field no larger than that of the Earth (0.55 X 10-4 T) at a distance of 25 cm, what is the maximum current the wire can carry?
In Fig. 20-54, a ling straight wire carries current l out of the page toward you. Indicate, with appropriate arrows, the direction of B at each of the points C, D, and E in the plane of the page.
A vertical straight wire carrying an upward 24-A current exerts an attractive force per unit length of 8.8 X 10-4 N/m on a second parallel wire 7.0cm away. What current (magnitude and direction)
A heart pacemaker is designed to operate at 72 beats/min using a 7.5-μF capacitor in a simple RC circuit what value of resistance should be used if the pacemaker is to fire (capacitor discharge)
Determine the magnitude and direction of the force between two parallel wires 35 m long and 6.0 cm apart, each carrying 25 A in the same direction.
Suppose that a person’s body resistance is 950 Ω. (a) What current passes through the body when the person accidentally is connected to 110 V? (b) If there is an alternative path to ground
An experiment on the Earth’s magnetic field is being carried out 1.00m from an electric cable. What is the maximum allowable current in the cable if the experiment is to be accurate to ±1.0%?
A power line carries a current of 95 A along the tops of 8.5-m-high poles. What is the magnitude of the magnetic field produced by this wire at the ground? How does this compare with the Earth’s
A Wheatstone bridge is type of €œbridge circuit€ used to make measurements of resistance. The unknown resistance to be measured, Rx, is placed in the circuit with accurately
Two ling thin parallel wires 13.0cm apart carry 25-A currents in the same direction. Determine the magnetic field at point P, 12.0cm from one wire and 5.0cm from the other (Fig 20-55).
An unknown length of platinum wire 0.920 mm in diameter is placed as the unknown resistance in a Wheatstone bridge (see Problem 71; Fig. 19-61). Arms 1 and 2 have resistance of 38.0Ω and 46.0
A horizontal compass is placed 18cm due south from a straight vertical wire carrying a 35-A current downward. In what direction does the compass needle point at this location? Assume the horizontal
What are the values of effective capacitance which can be obtained by connecting four identical capacitors, each having a capacitance C?
The variable capacitance of an old radio tuner consists of four plates connected together placed alternately between four other plates, also connected together (Fig. 19-62). Each plate is separated
A long horizontal wire carries 22.0 A of current sue north. What is the net magnetic field 20.0cm due west of the wire if the Earth’s field there point north but downward, 370 below the horizontal,
A batter produces 40.8 V when 7.40 A is drawn from it and 47.3V when 2.20 A is drawn. What are the emf and internal resistance of the battery?
A straight stream of protons passes a given point in space at a rate of 1.5 X 109 protons/s. what magnetic field do they produce 2.0m from the beam?
How many ½ W resistors, each of the same resistance, must be used to produce and equivalent 2.2-kΩ, 3.5-W resistor? What is the resistance of each, and how must they be connected? Do not
Determine the magnetic field midway between two long straight wires 2.0cm apart in terms of the current l in one when the other carries 15 A. assume these currents are(a) In the same direction,(b) In
A long pair of wires conducts 25.0A of dc current to, and from, an instrument. If the insulated wires are of negligible diameter but are 2.8mm apart, what is the magnetic field 10.00cm from their
The current through the 4.0-kΩ resistor in Fig. 19-63 is 3.50mA. What is the terminal voltage Vba of the €œunknown€ battery? (There are two answers. Why?)
A third wire is placed in the plane of the two wires shown in Fig. 20-56, parallel and just does the right. If it carries 25.0 A upward, what force per meter of length doe it exert on each of the
An air-filled parallel-plate capacitor has capacitance C0. If two identically sized dielectric slabs of dielectric constants K1 and K2 are inserted as shown in Fig. 19-64, what is the new capacitance?
A compass needle points 230 E of N outdoors. However, when it is placed 12.0cm to the east of a vertical wire inside a building, it points 550 E of N. what are the magnitude and direction of the
For the circuit shown in Fig. 19-65, determine(a) The current through the 14-V battery and(b) The potential difference between points a and b, Va €“ Vb.
A rectangular loop of wire lies in the same plane as a straight wire, as shown in Fig, 20-57. There is a current of 2.5 A in both wire, determine the magnitude and direction of the net force the loop.
A solar cell, 3.0cm square, has and output of 350mA at 0.80V when exposed to full sunlight. A solar panel that delivers close to 1.0 A of current at an emf of 120V to an external load is needed. How
A long horizontal wire carries a current a of 48 A.A second wire, made of 2.5-mm-diameter copper wire and parallel to the first, is kept in suspension magnetically 15 cm below (Fig. 20-58).(a)
A power supply has a fixed output voltage of 12.0 V, but you need VT = 3.0V for an experiment.(a) Using the voltage divider shown in Fig. 19-66, what should R2 be if R1 is 10.0Ω?(b) What will
Two long wires are oriented so that they are perpendicular to each other. At their closet, they are 20.0cm apart (Fig. 20-59). What is the magnitude of the magnetic field at a point midway between
Two long straight parallel wires are 15cm apart. Wire A carries 2.0 A current. Wire B’s current is 4.0 A in same direction. Determine the magnetic field magnitude due to wire A at the position of
Three long parallel wires are 3.9cm from one another. (Looking along them, they are at three corners of an equilateral triangle.) The current in each wire is 8.00A, but its direction in wire M is
The circuit shown in Fig. 19-67 uses a neon-filled tube as in Fig. 19-23a. This neon lamp has a threshold voltage V) for conduction, because no current flows until the neon gas in the tube is ionized
In Fig. 20-60, determine the magnetic and direction of the magnetic field at the midpoint of the side of the triangle between wire M and wire N.
Let two long parallel wires, a distance d apart, carry equal currents l in the same direction. One wire is at x = 0, the other is at x = d, Fig. 20-61. Determine B along the x axis between the wires
A thin 12-cm-long solenoid has a total of 420 turns of wire and carries a current of 2.0A. Calculation the field inside near the center
A 30.0-cm long solenoid 1.25cm in diameter is to produce a field of 0.385 T at its center. How current should the solenoid carry if it has 975 turns of the wire?
A 550-turn solenoid is 15cm long. The current in it is 33 A. A 3.0-cm-long straight wire cuts through the center of the solenoid, along a diameter. This wire carries a 22-A current downward (and is
You have 1.0kg of copper and want to make a practical solenoid that produces the greatest possible magnetic field for a given voltage should you make your copper wire ling and thin, short and fat, or
A toroid is a solenoid in the shape of a circle (Fig. 20-62). Use Ampere€™s law along the circular path, shown dashed in fig, 20-62a, to determine that the magnetic field.(a) Inside the
(a) use Ampere€™s law to show that the magnetic field between the conductors of a coaxial cable (Fig. 20-63) is B = μol/2πr if r is greater than the radius of the inner wire and less
A single square loop of wire 22.0cm on a side is place with its face parallel to the magnetic field between the pole pieces of a larger magnet. When 6.30 A flows in the coil, the torque on it is
The current through the 20-Ω resistor in Fig. 19-68 does not change whether the two switches S1 and S2 are both open or both closed. Use this clue to determine the value of the unknown
A galvanometer needle deflects full scale for a 53.0-μA current. What current will give full-scale deflection if the magnetic field weakens to 0.860 of its original value?
In the circuit shown in Fig. 19-69, the 33-Ω resistor dissipates 0.50W. What is the battery voltage?
If the restoring spring of a galvanometer weakens by 25% over the years, what current will give full-scale deflection if it originally required 36 μA?
If the current to a motor drops by 12%, by what factor does the output torque change?
(a) What is the equivalent resistance of the circuit shown in Fig. 19-70?(b) What is the current in the 18-Ω resistor?(c) What is the current in the 12-Ω resistor?(d) What is the power
Show that the magnetic dipole moment M of an electron orbiting the proton nucleus of a hydrogen atom is related to the orbital angular momentum L of the electron by
A circular coil 16.0cm in diameter and containing nine loops lies flat on the ground. The Earth’s magnetic field at this location has magnitude 5.50 X 10-5 T and Points into the Earth at an angle
(a) A voltmeter and an ammeter can be connected as shown in Fig. 19-71a to measure a resistance R. If V is the voltmeter reading, and l is the ammeter reading, the value of R will not quite be V / l
Proton move in a circle of radius 5.10 cm in a 0.566-T magnetic field, what value of electric field could make their paths straight? In what direction must it point?
A flashlight bulb rated at 2.5 W and 3.0V is operated by 1 9.0-V battery. To light the bulb at its rated voltage and power, a resistor R is connected in series as shown in Fig. 19-72. What value
In mass spectrometer, germanium atoms have radii of curvature equal to 21.0, 21.6, 21.9, 22.2, and 22.8, cm. The largest radius corresponds to an atomic mass of 76 u. what are the atomic masses of
Suppose the electric field between the electric plates in the mass spectrometer of Fig. 20-39 is 2.48 X 104 V/m and the magnetic field B = B’ = 0.68 T. The source contains carbon isotopes of mass
A mass spectrometer is being used to monitor air pollutants. It is difficult, however, to separate molecules with nearly equal mass such as CO (28.0106u) and N2 (28.0134u). How large a radius of
One from of mass spectrometer accelerates ions by a voltage V before they enter a magnetic field B. the ions are assumed to start from set, show that the mass of an ion is m =qB2R2/2V, where R is the
A long thin solenoid has 430 loops of wire per meter, and a 25-A current flows through the wire. If the permeability of the iron is 3000μ0, what is the total field B inside the solenoid?
An iron-core solenoid is 38cm long and 1.8cm in diameter, and has 640 turns of wire, the magnetic field inside the solenoid is 2.2 T when 48 A flows in the wire, what is the permeability u at this
Protons with momentum 4.8 X 10-16Kg-m/s are magnetically steered clockwise in a circular path 2.0km in diameter at Fermi national accelerator Laboratory in Illinois. Determine the magnitude and

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