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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, 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.`
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Knowledge Check

  • An 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

  • An inductor of reactance 2 Omega and a resistor of 4 Omega are connected in series to the terminals of a 12 V (rms ) AC source. The power dissipated in the circuit is

    A
    8 W
    B
    12 W
    C
    14.4 W
    D
    28.8 W

  • The power dissipated 6 Omega resistor is

    A
    `27/8 W`
    B
    `9/16 W`
    C
    `6/16 W`
    D
    `3/16W`

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