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 complete solution of ‘i’ is? exp⁡(-200t)+0.98cos⁡(1000t+π/2-78.6o) b) i = exp⁡(-200t)-0.98cos⁡(1000t+π/2-78.6o) c) i = exp⁡(-200t)-0.98cos⁡(1000t+π/2-78.6o) d) i = exp⁡(-200t)+0.98cos⁡(1000t+π/2-78.6o)

Correct Answer: i = exp⁡(-200t)+0.98cos⁡(1000t+π/2-78.6o)
The complete solution for the current is the sum of the complementary function and the particular integral. So, i = exp⁡(-200t)+0.98cos⁡(1000t+π/2-78.6o).