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In the circuit shown above, switch S is closed at t = 0. The time constant of the circuit and initial value of current i(t) are

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  1. 30 sec, 0.5 A
  2. 60 sec, 1.0 A
  3. 20 sec, 1.0 A
  4. 20 sec, 0.5 A

Answer (Detailed Solution Below)

Option 4 : 20 sec, 0.5 A
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Detailed Solution

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Switch is closed at t = 0+

= 2 F

Req = 10 Ω

∴ Time constant = Req Ceq

= 20 sec

To find the initial value, we can apply initial value theorem:

= 0.5 A

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