In a series RLC circuit R = 20 Ω , $$X_L = 30$$ Ω and $$X_c = 30$$ Ω If the supply voltage across the combination is $$v = 100 \sin (100 \pi t + 30^\circ)$$ volts, the instantaneous current and the power factor of the circuit are respectively

A

$$i = 5 \sin (100 \pi t + 30^\circ)$$ Amps, p.f. = 0.866

B

$$i = 3.536 \sin (100 \pi t + 30^\circ)$$ Amps, p.f. = 0.866

C

$$i = 5 \sin (100 \pi t + 30^\circ)$$ Amps, p.f. = unity

D

$$i = 3.536 \sin (100 \pi t + 30^\circ)$$ Amps, p.f. = unity