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Question

Given L1=1mH,R1=1Ω,L2=2mH,R2=2Ω
Neglecting mutual inductance, the time constants (in ms) for circuits (i), (ii), and (iii) are:
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A
1,1,92
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B
94,1,1
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C
1, 1, 1
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D
1,94,1
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Solution

The correct option is A 1,1,92


For (i): Leq=L1+L2=1+2=3mH and Req=R1+R2=1+2=3Ω
Time constant =LeqReq=33=1ms
For (ii): Leq=L1L2L1+L2=1(2)1+2=2/3mH and Req=R1R2R1+R2=1(2)1+2=2/3Ω
Time constant =LeqReq=2/32/3=1ms
For (iii): Leq=L1+L2=1+2=3mH and Req=R1R2R1+R2=1(2)1+2=2/3Ω
Time constant =LeqReq=32/3=9/2ms


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