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The current equation in the circuit shown below is?(a) i=2(e^-2t)A(b) i=2(e^2t)A(c) i=2(-e^-2t)A(d) i=2(-e^2t)AThis question was posed to me in my homework.This interesting question is from DC Response of an R-C Circuit topic in section Transients of Network Theory

Answer» CORRECT CHOICE is (a) i=2(e^-2t)A

To explain: At t = 0, switch S is closed. Since the capacitor does not allow sudden changes in voltage, the current in the CIRCUIT is i = V/R = 20/10 = 2A. At t = 0, i = 2A. The current EQUATION is i=2(e^-2t)A.


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