In the circuit shown below the current I(t) for t≥0^+ (assuming zero initial conditions) is ___________(a) 0.5-0.125e^-1000t A(b) 1.5-0.125e^-1000t A(c) 0.5-0.5e^-1000t A(d) 0.375e^-1000t AI got this question in unit test.This interesting question is from Dot Convention in Magnetically Coupled Circuits in section Resonance & Magnetically Coupled Circuit of Network Theory

In the circuit shown below the current I(t) for t≥0^+ (assuming zero

1.	In the circuit shown below the current I(t) for t≥0^+ (assuming zero initial conditions) is ___________(a) 0.5-0.125e^-1000t A(b) 1.5-0.125e^-1000t A(c) 0.5-0.5e^-1000t A(d) 0.375e^-1000t AI got this question in unit test.This interesting question is from Dot Convention in Magnetically Coupled Circuits in section Resonance & Magnetically Coupled Circuit of Network Theory
Answer» The correct ANSWER is (a) 0.5-0.125e^-1000t A Easy EXPLANATION: I (t) = \(\frac{1.5}{3}\) = 0.5 LEQ = 15 mH REQ = 5+10 = 15Ω L = \(\frac{L_{EQ}}{R_{EQ}}\) = \(\frac{15 × 10^3}{15} = \frac{1}{1000}\) I (t) A – (A – B) e^-t = 0.5 – (0.5-B) e^-1000t = 0.5(0.5 – 0.375) e^-1000t = 0.5 – 0.125 e^-1000t I (t) = 0.5-0.125e^-1000t.

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