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Q.

An alternating source of emf v=10cos100πt volt is connected across a R - L series circuit. If the phase difference between the resulting current and supply voltage is 60o and R=1Ω, the rms value of current in the circuit is

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a

522A

b

5A

c

52A

d

5/2A

answer is D.

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Detailed Solution

ωLR=tan60o⇒ωL=3R∴ Z=R2+ωL2=R2+3R2=2R=2Ω∴ Irms=VrmsZ=10/22A=52A
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An alternating source of emf v=10cos100πt volt is connected across a R - L series circuit. If the phase difference between the resulting current and supply voltage is 60o and R=1Ω, the rms value of current in the circuit is