Network Analysis and Synthesis - ECE Questions and Answers

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Calculate i(t) for t ≥ 0, assuming the switch has been in position A for a long time at t = 0, the switch is moved to position B.

1 + e^{-5 x 10³t}

e^{-5 x 10³t}

1.11 e^{-5 x 10³t}

1.11 (1 - e^{-5 x 10³t})

Answer : Option C

Explanation :

When switch is in A position, C will be open, t < 0,

i(0^-) = = 1.11 mA,

V_C(0^-) = 3 k x 3.33 volt at t > 0

i(0⁺) = 1.11 mA, i(t) = A + B e^-at

where

5 x 10³ at t = 0, A + B = 1.11

t = ∞, A = 0 i(t) = 1.11 e^{-5 x 10³(t)} .

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