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A inductor of reactance 1 Omega and a re...

A inductor of reactance `1 Omega` and a resistor of `2 Omega` 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

Text Solution

Verified by Experts

The correct Answer is:
C
Here, `X_(L)=1 Omega, R=2 Omega V_("rms")=6V`
Impedance of the circuit
`Z=sqrt(X_(L)^(2)+R^(2))=sqrt((1)^(2)+(2)^(2)) = sqrt(5) Omega`
`I_("rms")=(V_("rms"))/(Z)=(6)/(sqrt(5))A`
Power dissipated
`P = V_("rms")I_("rms")cos phi =V_("rms")I_("rms")(R )/(Z)`
`=6xx(6)/(sqrt(5))xx(2)/(sqrt(5))=(72)/(5)=14.4 W`
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