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physics
electricity and magnetism

Questions and Answers of Electricity and Magnetism

Light Bulbs in Series A 60-W, 120-V light bulb and a 200-W, 120-V light bulb are connected in series across a 240-V line. Assume that the resistance of each bulb does not vary with current. (Note:
In the circuit in Fig. 26.47, a 20.0-Ω resistor is inside 100 g of pure. Water that is surrounded by insulating styrofoam. If the water is initially at 10.0°C, how long will it take for its
In the circuit shown in Fig, the rate at which R1 is dissipating electrical energy is 20.0 W.(a) Find R1 and R2.(b) What is the emf of the battery?(c) Find the current through both R2 and the
In the circuit shown in Fig. find(a) The current in resistor R;(b) The resistance R;(c) The unknown emf E.(d) If the circuit is broken at point x, what is the current in resistor R?
Find the emfs E1 and E2 in the circuit of Fig, and find the potential difference of point b relative to point a.
In the circuit shown in Fig, find(a) The current in the 3.00-0 resistor;(b) The unknown emfs E1 and E2;(c) The resistance R. Note that three currents are given.
In the circuit shown in Fig. find(a) The current in each branch and(b) The potential difference Vab of point a relative to point b.
The l0.00-V battery in Fig. is removed from the circuit and reinserted with the opposite polarity, so that its positive terminal is now next to point a. The rest of the circuit is as shown in the
The 5.00-V battery in Fig. is removed from the circuit and replaced by a 20.00-V battery, with its negative terminal next to point b. The rest of the circuit is as shown in the figure. Find(a) The
In the circuit shown in Fig. the batteries have negligible internal resistance and the meters are both idealized. With the switch S open, the voltmeter reads 15.0 V.(a) Find the emf E of the
In the circuit shown in Fig. both batteries have insignificant internal resistance and the idealized ammeter reads 1.50 A in the direction shown. Find the emf E of the battery. Is the polarity shown
In the circuit shown in Fig. all meters are idealized and the batteries have no appreciable internal resistance.(a) Find the reading of the voltmeter with the switch S open. Which point is at a
(a) Calculate the current in each resistor. Draw a diagram of the circuit, and label each resistor with the current through it. (b) Calculate the equivalent resistance of the network. (c) Calculate
The resistance of a galvanometer coil is 25.0 Ω, and the current required for full-scale deflection is 500 µA. (a) Show in a diagram how to convert the galvanometer to an ammeter reading 20.0
The resistance of the coil of a pivoted-coil galvanometer is 9.36 Ω, and a current of. 0.0224 A causes it to deflect full scale. We want to convert this galvanometer to an ammeter reading 20.0
A circuit consists of a series combination of 6.00-kΩ and S.00-kΩ resistors connected across a 50.0-V battery having negligible internal resistance. You want to measure the true potential
(a) What current does the ammeter measure? (b) What should be the true current in the circuit (that is, the current without the ammeter present)? (c) By what percentage is the ammeter reading in
Consider the potentiometer circuit of Fig. The resistor between a and b is a uniform wire with length l, with a sliding contact c at a distance x from b. An unknown emf E2 is measured by sliding the
In the ohmmeter of Fig, the coil of the meter has resistance Rc = 15.0 Ω and the current required for full-scale deflection is Ifs = 3.60 mA. The source is a flashlight battery with E = 1.50 V
In the ohmmeter in Fig. M is a 2.50-rnA meter of resistance 65.0 Ω. (A 2.50-. mA meter deflects full scale when the current through it is 2.50 mA.) The battery B has an emf of 1.52 V and
A 4.60-µF capacitor that is initially uncharged is connected in series with a 7.50-kΩ resistor and an emf source with E = 125 V and negligible internal resistance. Just after the circuit is
A capacitor is charged to a potential of 12.0 V and is then connected to a voltmeter having an internal resistance of 3.40 MΩ. After a time of 4.00 s the voltmeter reads 3.0 V. What are? (a)
A 12.4-µF capacitor is connected through a 0.895-MΩ resistor to a constant potential difference of 60.0 V. (a) Compute the charge on the capacitor at the following times after the connections
In the circuit shown in Fig both capacitors are initially charged to 45.0 V.(a) How long after closing the switch S will the potential across each capacitor be reduced to 10.0 V, and(b) What will be
A resistor and a capacitor are connected in series to an emf source. The time constant for the circuit is 0.870 s. (a) A second capacitor, identical to the first, is added in series. What is the time
An emf source with E = 120V,a resistor with R = 50.0Ω, and a capacitor with C = 4.00 µF are connected in series. As the capacitor charges, when the current in the resistor is0.900 A, what is
A 1.50-µF capacitor is charging through a 12.0-Ω resistor using a 10.0-V battery. What will be the current when the capacitor has acquired ¼ of its maximum charge? Will it be i of the maximum
In the circuit shown in Fig each capacitor initially has a charge of magnitude 3.50 nC on its plates. After the switch S is closed, what will be the current in the circuit at the instant that the
A 12.0-µF capacitor is charged to a potential of 50.0 V and then discharged through a 175-Ω resistor. How long does it take the capacitor to lose (a) Half of its charge and (b) Half of its
In the circuit in Fig. the capacitors are all initially uncharged, the battery has no internal resistance, and the ammeter is idealized. Find the reading of the ammeter(a) Just after the switch S is
In the circuit shown in Fig, C = 5.90 µF, E = 28.0 V, and the emf has negligible resistance. Initially the capacitor is uncharged and the switch S is in position 1. The switch is then moved to
(a) Compute the charge on the capacitor just before the switch is thrown from position 2 back to position 1.(b) Compute the voltage drops across the resistor and across the capacitor at the instant
The heating element of an electric dryer is rated at 4.1 kW when connected to a 240-V line. (a) What is the current in the heating element? Is 12-gauge wire large enough to supply this current? (b)
A 1500-W electric heater is plugged into the outlet of a 120-V circuit that has a 20-A circuit breaker. You plug an electric hair dryer into the same outlet. The hair dryer has power settings of 600
How many 90-W, 120-V light bulbs can be connected to a 20-A, 120-V circuit without tripping the circuit breaker? (See the note in Exercise 26.18.)
(a) When the heating element is first turned on, what current does it draws and what electrical power does it dissipate? (b) When the heating element has reached an operating temperature of 280°C
A 400-Ω, 2.4-W resistor is needed, but only several 400- Ω, 1.2-W resistors are available (see Exercise 26.10). (a) What two different combinations of the available units give the
A 20.0-m-long cable consists of a solid-inner, cylindrical, nickel core 10.0 cm in diameter surrounded by a solid-outer cylindrical shell of copper 10.0 cm in inside diameter and 20.0 cm in outside
Two identical 1.00-Ω wires are laid side by side and soldered together so they touch each other for half of their lengths. What is the equivalent resistance of this combination?
The two identical light bulbs in Example 26.2 (Section 26.1) are connected in parallel to a different source, one with E = 8.0 V and internal resistance 0.8 Ω. Each light bulb has a resistance R
Each of the three resistors in Fig has a resistance of 2.4 Ω and can dissipate a maximum of 36 W without becoming excessively heated. What is the maximum power the circuit can dissipate?
If an ohmmeter is connected between points a and b in each of the circuits shown in Fig, what will it read?
For the circuit shown in Fig. a 20.0-Ω resistor is embedded in a large block of ice at 0.00oC, and the battery has negligible internal resistance. At what rate (in g/s) is this circuit melting
Calculate the three currents I1, I 2, and I3 indicated in the circuit diagram shown in Fig.
What must the emf e in Fig. be in order for the current through the 7.00-Ω resistor to be 1.80 A? Each emf source has negligible internal resistance.
Find the current through each of the three resistors of the circuit shown in Fig. The emf sources have negligible internal resistance.
(a) Find the current through the battery and each resistor in the circuit shown in Fig.(b) What is the equivalent resistance of the resistor network?
(a) Find the potential of point a with respect to point b in Fig.(b) If points a and b are connected by a wire with negligible resistance, find the current in the 12.0-V battery.
(a) What must the emf E of the battery be in order for a current of 2.00 A to flow through the 5.00-Vbattery as shown? Is the polarity of the battery correct as shown?(b) How long does it take for
In the circuit shown in Fig the current through the 12.0-V battery is measured to be 70.6 mA in the direction shown. What is the terminal voltage V ab of the 24.0-V battery?
In the circuit shown in Fig all the resistors are rated at a maximum power of 1.00 W. What is the maximum emf e that the battery can have without burning up any of the resistors?
In the circuit shown in Fig the current in the 20.0-V battery is 5.00 A in the direction shown and the voltage across the 8.00-n resistor is 16.0 V, will the lower end of the resistor at higher
Three identical resistors are connected in series. When a certain potential difference is applied across the combination, the total power dissipated is 27 W. What power would be dissipated if the
A resistor R1 consumes electrical power p1 when connected to an emf E. When resistor R2 is connected to the same emf, it consumes electrical power P2. In terms of p1 and P2• what is the total
The capacitor in Fig is initially uncharged. The switch is closed at t = 0.(a) Immediately after the switch is closed. What is the current through each resistor?(b) What is the 1inaI charge on the
Figure employs a convention often used in circuit diagrams. The battery (or other power supply) is not shown explicitly. It is understood that the point at the top, labeled €œ36.0
A particle with a charge of - 1.24 X l0-8 C is moving with instantaneous velocity U = (4.19 X 104m/s)i + (-3.85 X l04 m/s)J. What is the force exerted on this particle by a magnetic field (a) B =
A particle of mass 0.195 g carries a charge of -2.50 X l0-8 C. The particle is given an initial horizontal velocity that is due north and has magnitude 4.00 X l04 m/s. What are the magnitude and
In a 1.25-T magnetic field directed vertically upward, a particle having a charge of magnitude 8.50 µ.C and initially moving northward at 4.75 km/s is deflected toward the east. (a) What is the sign
A particle with mass 1.81 X l0-3 kg and a charge of 1.22 X l0-8 C has, at a given instant, a velocity u = (3.00 X l04 m/s )j. What are the magnitude and direction of the particle's acceleration
An electron experiences a magnetic force of magnitude 4.60 X l0-15 N when moving at an angle of 60.0o with respect to a magnetic field of magnitude 3.50 X l0-3 T. find the speed of the electron.
An electron moves at 2.50 X l06 m/s through a region in which there is a magnetic field of unspecified direction and magnitude 7.40 X l0-2 T. (a) What are the largest and smallest possible magnitudes
A particle with charge 7.80 µC is moving with velocity u = - (3.80 X l03 m/s) j. The magnetic force on the particle is measured to be F = + (7.60 X l0-3N) i - (5.20 X l0-3N) k. (a) Calculate all the
A particle with charge - 5.60 nC is moving in a uniform magnetic field B = -J 1.25 T) k. The magnetic force on the particle is measured to be F = - (3.40 X l0-7 N) i+ (7.40 X l0-7 N) j. (a) Calculate
A group of particles is traveling in a magnetic field of unknown magnitude and direction. You observe that a proton moving at 1.50 km/s in the +x-direction experiences a force of 2.25 X l0-16 N in
The magnetic flux through one face of a cube is +0.120 Wb. (a) What must the total magnetic flux through the other five faces of the cube be? (b) Why didn't you need to know the dimensions of the
A circular area with a radius of 6.50 cm lies in the xy-plane. What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field B = 0.230 T (a) In the +z-direction; (b)
The magnetic field B in a certain region is 0.128 T, and its direction is that of the +z-axis in Fig.(a) What is the magnetic flux across the surface abed in the figure?(b) What is the magnetic flux
An open plastic soda bottle with an opening diameter of 2.5 cm is placed on a table. A uniform 1.75-T magnetic field directed upward and oriented 25° from vertical encompasses the bottle. What is
A particle with charge 6.40 X 10-19 C travels in a circular orbit with radius 4.68 mm due to the force exerted on it by a magnetic field with magnitude 1.65 T and perpendicular to the orbit. (a) What
An electron at point A in Fig. has a speed U0 of 1.41 X 106 m/s. Find(a) The magnitude and direction of the magnetic field that will cause the electron to follow the semicircular path from A to B,
Repeat Exercise 27.15 for the case in which the particle is a proton rather than an electron.
A 150-g ball containing 4.00 X 108 excess electrons is dropped into a 125-m vertical shaft. At the bottom of the shaft, the ball suddenly enters a uniform horizontal magnetic field that has magnitude
An alpha particle (a He nucleus, containing two protons and two neutrons and having a mass of 6.64 X 10-27 kg) traveling horizontally at 35.6 km/s enters a uniform, vertical, 1.10-T magnetic field.
Fusion Reactor If two deuterium nuclei (charge +e, mass 3.34 X 10-27 kg) get close enough together, the attraction of the strong nuclear force will fuse them to make an isotope of helium, releasing
(a) An 16O nucleus (charge +8e) moving horizontally from west to east with a speed of 500 km/s experiences a magnetic force of 0.00320 nN vertically downward. Find the magnitude and direction of the
A deuteron (the nucleus of an isotope of hydrogen) has a mass of 3.34 X 10-27 kg and a charge of +e. The deuteron travels in a circular path with a radius of 6.96 mm in a magnetic field with
In an experiment with cosmic rays, a vertical beam of particles that have charge of magnitude3e and mass 12 times the proton mass enters a uniform horizontal magnetic field of 0.250 T and is bent in
A physicist wishes to produce electromagnetic waves of frequency 3.0 THz (1 THz = 1 terahertz = 1012 Hz) using a magnetron (see Example 27.3). (a) What magnetic field would be required? Compare this
A beam of protons travelling at 1.20 km/s enters a uniform magnetic field, travelling perpendicular to the field. The beam exits the magnetic field, leaving the field in a direction perpendicular to
An electron in the beam of a TV picture tube is accelerated by a potential difference of 2.00 kv. Then it passes through a region of transverse magnetic field, where it moves in a circular arc with
A singly charged ion of 7Li (an isotope of lithium) has a mass of 1.16 X 10-26 kg. It is accelerated through a potential difference of 220 V and then enters a magnetic field with magnitude 0.723 T
A proton (q = 1.60 X 10-19 C, m = 1.67 X 10-27 kg) moves in a uniform magnetic field B = (0.500 T) i. At t = 0 the proton has velocity components Ux = 1.50 X 105 m/s, Uy = 0, and v. = 2.00 X 105 m/s
(a) What is the speed of a beam of electrons when the simultaneous influence of an electric field of 1.56 X 10 V/m and a magnetic field of 4.62 X 10-3 T, with both fields normal to the beam and to
A 150 V battery is connected across two parallel metal plates of area 285 cm? and separation 8.20 mm. A beam of alpha particles (charge +2e, mass 6.64 X 10-27 kg) is accelerated from rest through a
Crossed E and B Fields A particle with initial velocity V0 = (5.85 X 10' m/s)j enters a region of uniform electric and magnetic fields. The magnetic field in the region is B = - (1.35 T) k. Calculate
Determining the Mass of an Isotope the electric field between the plates of the velocity selector in a Bainbridge mass spectrometer (see Fig) is 1.12 X 105 v/m and the magnetic field in both regions
In the Bainbridge mass spectrometer (see Fig.), the magnetic Field magnitude in the velocity selector is 0.650 T, and ions having a speed of 1.82 X 106 m/s pass through undeflected. (a) What is the
A straight 2.00-m, 150-g wire carries a current in a region where the earth's magnetic field is horizontal with a magnitude of 0.55 gauss. (a) What is the minimum value of the current in this wire so
An electromagnet produces a magnetic field of 0.550 T in a cylindrical region of radius 2.50 cm between its poles. A straight wire carrying a current of 10.8 A passes through the center of this
A long wire carrying 4.50 A of current makes two 90o bends, as shown in Fig. The bent part of the wire passes through a uniform 0.240-T magnetic field directed as shown in the figure and confined to
A straight, vertical wire carries a current of 1.20 A downward in a region between the poles of a large superconducting electromagnet, where the magnetic field has magnitude B = 0.588 T and is
A horizontal rod 0.200 m long is mounted on a balance and carries a current. At the location of the rod a uniform horizontal magnetic field has magnitude 0.067 T and direction perperulicu1ar to the
In Fig, a wire carrying current into the plane of the figure is between the north and south poles of two bar magnets. What is the direction of the force exerted by the magnets on the wire?
A thin, 50.0-cm-Iong metal bar with mass 750 g rests n, but is not attached to, two metallic supports in a uniform 0.450-Tmagnetic field, as shown v R in Fig. A battery and a 25.0-Ω resistor in
Magnetic Balance The circuit shown in figure used to make a magnetic balance to weigh objects. The mass m to be measured is hung from the center of the bar that is in a uniform magnetic field of 1.50
Consider the conductor and current in Example 27.8, but now let the magnetic field be parallel to the x-axis. (a) What are the magnitude and direction of the total magnetic force on the conductor?
The plane of a 5.0 cm X 8.0 cm rectangular loop of wire is parallel to a 0.19-T magnetic field. The loop carries a current of 6.2 A. (a) What torque acts on the loop? (b) What is the magnetic moment
Magnetic Moment of the Hydrogen Atom In the Bohr model of the hydrogen atom (see Section 38.5), in the lowest energy state the electron orbits the proton at a speed of 2.2 X 106 m/sin a circular
A rectangular coil of wire, 22.0 cm by 35.0 cm and carrying a current of 1.40 A, is oriented with the plane of its loop perpendicular to a uniform 1.50-T magnetic field, as shown in Fig.(a) Calculate

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