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?
(a) i = [-0.98 cos(π/2-78.6^o)] exp(-200t)+0.98cos(1000t+π/2-78.6^o)
(b) i = [-0.98 cos(π/2-78.6^o)] exp(-200t)-0.98cos(1000t+π/2-78.6^o)
(c) i = [0.98 cos(π/2-78.6^o)] exp(-200t)-0.98cos(1000t+π/2-78.6^o)
(d) i = [0.98 cos(π/2-78.6^o)] exp(-200t)+0.98cos(1000t+π/2-78.6^o)