Physics 1302, Fall 2007, Prof. J. Miller: Sample Problems #2a 1. In an RL series circuit connected to a dc source and a switch, the inductor gets 50% of its maximum current 2.2 s after the switch is closed at time t = 0 s. What is the time constant of this circuit? 2. A constant magnetic field of 2.0 T is applied to a rectangular loop of area 4.0 x 10-2 m 2 . If the area of this loop changes from its original value to a new value of 2.0 x 10-2 m 2 in 2.0 s, what is the emf induced in the loop? 3. A coil with a self-inductance of 4.0 H is connected to a dc source through a switch. As soon as the switch is closed at t = 0 s, the rate of change of current is 2.0 A/s. What is the emf induced in the coil at t = 0 s? 4. A series RLC circuit has a 100-Ω resistor, 6.0-mH inductor, and a 1.0-μ F connected to a 120-V rms ac source at f = 60 Hz. What is the power dissipated by the circuit? 5. At what frequency f will a 30-mH inductor have an inductive reactance of 1.0 k Ω ? 6.
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