Electronics and Communication Engineering - Networks Analysis and Synthesis - Discussion

Discussion Forum : Networks Analysis and Synthesis - Section 5 (Q.No. 33)
33.
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
Explanation:

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

i(0-) = = 1.11 mA,

VC(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) .

Discussion:
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