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Suppose the circuit in Fig. 7.41 has been connected for a

Chapter 7, Problem 31P

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QUESTION:

Problem 31P

Suppose the circuit in Fig. 7.41 has been connected for a long time when suddenly, at time t = 0, switch S is thrown from A to B, bypassing the battery.

(a) What is the current at any subsequent time t?

(b) What is the total energy delivered to the resistor?

(c) Show that this is equal to the energy originally stored in the inductor.

Questions & Answers

QUESTION:

Problem 31P

Suppose the circuit in Fig. 7.41 has been connected for a long time when suddenly, at time t = 0, switch S is thrown from A to B, bypassing the battery.

(a) What is the current at any subsequent time t?

(b) What is the total energy delivered to the resistor?

(c) Show that this is equal to the energy originally stored in the inductor.

ANSWER:

Solution 31P

Step 1 of 4:

In the given circuit, Inductor L and Resistor R are connected in series. In Part (a), our aim is to find the current in the circuit at any time t.

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