A series LC circuit contains a 100-mH inductor, a 36.0-mF capacitor and a 12-V battery. The frequency of the electromagnetic oscillations in the circuit is
a. 5.73 104 Hz.
b. 9.55 103 Hz.
c. 0.442 Hz.
d. 2.65 Hz.
e. 44.0 Hz.
[Ques. 2] A series LC circuit contains a 100-mH inductor, a 36.0-mF capacitor and a 12-V battery. The angular frequency of the electromagnetic oscillations in the circuit is
a. 36.0 104 rad/s.
b. 6.00 102 rad/s.
c. 2.78 rad/s.
d. 16.7 rad/s.
e. 277 rad/s.
[Ques. 3] What is the inductance of a series RL circuit in which R = 1.0 K if the current increases to one-third of its final value in 30 s?
a. 74 mH
b. 99 mH
c. 49 mH
d. 62 mH
e. none of the above
[Ques. 4] A car with a radio antenna 1.0 m long travels at 80 km/h in a locality where the Earth's magnetic field is 5.0 105 T. What is the maximum possible emf induced in the antenna as a result of moving through the Earth's magnetic field?
[Ques. 5] A 500-turn circular loop 15.0 cm in diameter is initially aligned so that its axis is parallel to the Earth's magnetic field. In 2.77 ms the coil is flipped so that its axis is perpendicular to the Earth's field. If a voltage of 0.166 V is induced in the coil, what is the value of the Earth's magnetic field?
[Ques. 6] A rectangular coil of 100 turns measures 40.0 cm by 20.0 cm. This coil is placed next to an electromagnet which is switched on, increasing the magnetic field through the coil from zero to 0.800 T in 50.0 ms. If the resistance of the coil is 2.0 ohms, what are the induced voltage and current in the coil?
[Ques. 7] In a demonstration, a 4.00 cm2 square coil with 10,000 turns enters a larger square region with a uniform 1.50-T magnetic field at a speed of 100 m/s. The plane of the coil is perpendicular to the field lines. If the breakdown voltage of air is 4000 V/cm on that day, the largest gap you can have between the two wires connected to the ends of the coil and still get a spark is
a. 7.5 103 cm.
b. 0.015 cm.
c. 7.5 cm.
d. 13 cm.
e. 15 cm.
[Ques. 8] An induced emf is produced in
a. a closed loop of wire when it remains at rest in a nonuniform static magnetic field.
b. a closed loop of wire when it remains at rest in a uniform static magnetic field.
c. a closed loop of wire moving at constant velocity in a nonuniform static magnetic field.
d. all of the above.
e. only (b) and (c) above.
[Ques. 9] Coil 1, connected to a 100- resistor, sits inside coil 2 . Coil 1 is connected to a source of 60 cycle per second AC current. Which statement about coil 2 is correct?
a. No current will be induced in coil 2.
b. DC current (current flow in only one direction) will be induced in coil 2.
c. AC current (current flow in alternating directions) will be induced in coil 2.
d. DC current will be induced in coil 2, but its direction will depend on the initial direction of flow of current in coil 1.
e. Both AC and DC current will be induced in coil 2.
[Ques. 10] A current may be induced in a coil by
a. moving one end of a bar magnet through the coil.
b. moving the coil toward one end of the bar magnet.
c. holding the coil near a second coil while the electric current in the second coil is increasing.
d. all of the above.
e. none of the above.
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