Question
Asked Nov 25, 2019
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After reaching steady state, an RL circuit is disconnected from the battery such that the circuit
consists of a resistor and inductor wired in series. The resulting current through the inductor (with
t 0 corresponding to the moment the battery is disconnected) is indicated below as a function of
time t for four sets of values for the resistance R and the inductance L: (1) Ro and Lo, (2) 2Ro and
Lo, (3) Ro and 2Lo, (4) 2Ro and 2Lo
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After reaching steady state, an RL circuit is disconnected from the battery such that the circuit consists of a resistor and inductor wired in series. The resulting current through the inductor (with t 0 corresponding to the moment the battery is disconnected) is indicated below as a function of time t for four sets of values for the resistance R and the inductance L: (1) Ro and Lo, (2) 2Ro and Lo, (3) Ro and 2Lo, (4) 2Ro and 2Lo

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Which set goes with which curve? Explain your answers
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Which set goes with which curve? Explain your answers

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Expert Answer

Step 1

We know,

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In a series RL circuit, as the battery is disconnected V. Current, I e R

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Step 2

Thus, the current expression for each cases will be:

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Case(1) R Ro and L Lo V. Current, I Case(2) R 2Ro and L Lo V. Current, I 2RO Case(3) R Ro and L = 2Lo V. 2L Current, I Ro Case(4) R 2Ro and L = 2Lo V Current, I 2R

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Step 3

Thus, we can co...

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We can see that the magnitude at t 0 for current I and I are same, and that of I, and I4 are same And compared to I, and I3, the current of I, and I4 is half Now, between I and I,, the decaying rate of I i.e. I will decay slower as compared to I is half of I Similarly, between I, and I, the decaying rate of I is half of I. i.e. I will decay slower as compared to I

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