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

Options

A. 8 W
B. 12 w
C. 14.4 W
D. 18 W

Answer

C

Explanation

Here, `X_(L) = 1 Omega, R = 2 Omega, E_(upsilon) = 6 V, P = ?`, `Z = sqrt(X_(L)^(2) + R^(2)) = sqrt(1^(2) + 2^(2)) = sqrt5 Omega`
`I_(upsilon) = (E_(upsilon))/(Z) = (6)/(sqrt5) A` `P = E_(upsilon) I_(upsilon) cos theta = 6 xx (6)/(sqrt5) xx (2)/(sqrt5) = 14.4 W.`