The current in a 80.0-mH inductor changes with time as i = 4.00t² – 5.00t, where i is in amperes and t is in (a) Find the magnitude of the induced emf at t = 1.00 s. mv (b) Find the magnitude of the induced emf at t = 4.00 s. mv (c) At what time is the emf zero?

A loop of wire has a self-inductance of 5.5 mH.  You pass a current of 9.0 Amps though the loop, and then drop the current to 0 at a contastant rate over 3.5 seconds. What is the EMF generated?

The current i through a 6.5 H inductor varies with time t as shown by the graph of the figure. The inductor has a resistance of 12 2. Find the magnitude of the induced emf ɛ during the time intervals (a) t = 0 to 2 ms; (b) 2 ms to 5 ms, and (c) 5 ms to 6 ms. (Ignore the behavior at the ends of the intervals.) 2 4 6 t (ms) 6, (V)!

31.5

An L-C circuit containing an 80.0 mH inductor and a 1.25 nF capacitor oscillates with a maximum current of 0.730 A. Assuming the capacitor had its maximum charge at time t = 0, calculate the energy stored in the inductor after 2.20 ms of oscillation.

A 15.0-mH inductor carries a current i = Imax sin ?t, with Imax = 5.40 A and f = ?/2? = 60.0 Hz. What is the self-induced emf as a function of time? (Express your answer in terms of t where  is in volts and t is in seconds. Do not include units in your expression.)

The current in a 40.0-mH inductor changes with time as i = 3.00t2 − 5.00t, where i is in amperes and t is in seconds. (a) Find the magnitude of the induced emf at t = 1.00 s. mV(b) Find the magnitude of the induced emf at t = 4.00 s. mV(c) At what time is the emf zero? s

The current in a 70.0-mH inductor changes with time as I = 3.00t2 − 8.00t, where I is in amperes and t is in seconds. (a) Find the magnitude of the induced emf at t = 1.00 s. mV(b) Find the magnitude of the induced emf at t = 4.00 s. mV(c) At what time is the emf zero? s

A battery providing emf V is connected in series to a resistor R and an inductor L, and left until the current reaches a constant value. (a) What is the energy stored in the inductor in terms of V, R and L? Then, at t = 0, the battery is suddenly removed, so that only the inductor and resistor are left connected to each other in a closed circuit. (b) Derive an expression for the energy stored in the inductor in the new circuit without the battery. Sketch your expression as a function of time. (c) How long does it take for the energy stored in the inductor to decay to 1/9 of the initial value that you found in part (a)?