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Question

Refer to the circuit diagram and the corresponding graphs. The current rises when key K is pressed. With R=R1 and L=L1 the rise of current is shown by curve (1), while curve (2) shows the rise of current when R=R2 and L=L2. The maximum current is same for both curves, then :


A
R1=R2,L1=L2
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B
R1>R2,L1=L2
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C
R1>R2,L1<L2
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D
R1=R2,L1<L2
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Solution

The correct option is D R1=R2,L1<L2
Consider the expression for the current rising exponentially in the LR circuit. The time constant is (L/R). In this case, the curve (1) is rising faster than curve (2) indicating that (L1/R1)<(L2/R2). However, in both the cases the maximum current is the same and equal to (V/R1) or (V/R2). Which means R1=R2.

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