An inductor of reactance 1 Ω and a resistor of 2 Ω are connected in series to the terminals of a 6 V (rms) a.c. source. The power dissipated in the circuit is (a) 8 W. (b) 12 W. (c) 14.4 W. (d) 18 W.
Correct option is C) Here, XL=1Ω,R=2Ω,Vrms=6V Impedence of the circuit, Z=XL2+R2=(1)2+(2)2=5Ω Irms=ZVrms=56A Power dissipated, P=VrmsIrmscosϕ=VrmsIrmsZR =6×56×52=572=14.4W