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Network Elements and the Concept of Circuit

Direction: A coil of inductance 10 H and resistance 40 Ω is connected as shown in the figure. After the switch S has been in contact with point 1 for a very long time, it is moved to poin 2 at t = 0.

  1. If, at t = 0+, the voltage across the coil is 120V, the value of resistance R is—


    1. 0Ω
    2. 20Ω
    3. 40Ω
    4. 60Ω
Correct Option: A

t < 0 connect to 1

i L(0) =
120
= 2 Amp
20 + 40

i L(0) = i L(0+) = 2 Amp
t = 0+ connect 2
(60 + R) 2 – 120 = 0
60 + R = 60
or R = 0Ω
Hence alternative (A) is the correct choice.



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