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Problem: 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?

FREE Expert Solution

The energy stored in an inductor is found by the formula:

U=12Li2, where L is the inductor and i is the maximum current flowing in the inductor. 

Power:

P=iε, where i is current at t = 0 and ε is the voltage drop across the resistor.

(a)

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

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Problem Details

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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