The energy stored in an inductor is found by the formula:
, where L is the inductor and i is the maximum current flowing in the inductor.
, where i is current at t = 0 and ε is the voltage drop across the resistor.
The maximum current flowing in the inductor is given by:
i = V/R
The source voltage, ε = 6.0V
R = 12Ω at t = 0 s
In the circuit, switch S is opened at t = 0 after having been closed for a long time,
(a) How much energy is stored in the inductor t = 0?
(b) What is the instantaneous rate of change of the inductor’s energy at t = 0?
(c) What is the average rate of change of the inductor’s energy between t = 0.0 and t = 1.0 s?
(d) How long does it take for the current in the inductor to reach 0.0010 times its initial value?
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