1.

An inductor of reactance 1 Omegaand a resistor of 2 Omegaare connected in series to the terminals of a 6 V (rms) a.c. source. The power dissipated in the circuit is

Answer»

8 W
12 W
14.4 W
18 W

SOLUTION :Here `X_(L) = 1 Omega, R = 2 Omega, V_(rms) = 6V`
`therefore Z = sqrt(R^(2) + X_(L)^(2)) = sqrt((2)^(2) + (1)^(2)) = sqrt(5) Omega`
`I_(rms) = V_(rms)/Z = 6/sqrt(5)A` and `cos phi = R/Z = 2/sqrt(5)`
`therefore 6 xx 6/sqrt(5) xx 2/sqrt(5) = 14.4`W


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