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In the circuit shown below, the switch is closed at t = 0, applied voltage is v (t) = 100cos (103t+π/2), resistance R = 20Ω and inductance L = 0.1H. The value of c in the complementary function of ‘i’ is?(a) c = -0.98cos⁡(π/2-78.6^o)(b) c = -0.98cos⁡(π/2+78.6^o)(c) c = 0.98cos⁡(π/2+78.6^o)(d) c = 0.98cos⁡(π/2-78.6^o)I had been asked this question in an interview for job.Enquiry is from Sinusoidal Response of an R-L Circuit topic in division Transients of Network Theory

Answer»

Right option is (a) c = -0.98cos⁡(π/2-78.6^o)

To explain: At t = 0, the CURRENT flowing through the circuit is ZERO. Placing i = 0 in the current EQUATION we get c = -0.98cos⁡(π/2-78.6^o).



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