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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 complementary function of the solution of ‘i’ is?

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 complementary function of the solution of ‘i’ is? Correct Answer ic = ce-200t

By applying Kirchhoff’s voltage law to the circuit, we have 20i+0.1di/dt=100cos⁡(103 t+π/2) => (D+200)i=1000cos⁡(1000t+π/2). The complementary function is ic = ce-200t.

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