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A coil has an inductance of 0.7 H and is...

A coil has an inductance of `0.7 H` and is joined in series with a resistance of `220 Omega`. When an alternating e.m.f of `220 V` at 50 c.p.s. is applied to it, then the wattless component of the current in the circuit is

A

7A

B

5A

C

0.7A

D

0.5A

Text Solution

Verified by Experts

The correct Answer is:
D

Here, `X_L = 2pi v L = 2pi xx 50 xx 0.7 = 220 Omega, R = 220 Omega`
`Z = sqrt(R^2 + X_L^2) = sqrt(220^2 + 220^2) = 220 sqrt2 Omega`
`I_(rms) = (V_(rms))/(Z) = (220V)/(220sqrt2 Omega) = (1)/(sqrt2) A`
`sin phi = (X_L)/(Z) = (220)/(220 sqrt2) = (1)/(sqrt2)`
Wattless current ` = I_(rms) sin phi = (1)/(sqrt2) xx (1)/(sqrt2) = 1/2 A = 0.5 A`
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