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Question

A resistance of 300Ω and an inductance of 1π henry are connected in series to a A.C. voltage of 20 volts and 200 Hz frequency. The phase angle between the voltage and current is :-

A
tan1(43)
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B
tan1(34)
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C
tan1(32)
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D
tan1(23)
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Solution

The correct option is A tan1(43)
Given R=300Ω,L=1πH,f=200 Hz
w=2πf=400π
So tanϕ=VLVR
Also, VL=IowL=Io400π.1π=400Io
VR=IoR=300Io
tanϕ=400Io300Io=43

1432473_1018583_ans_23338a8c2e0b4080af49f4134d0f622c.png

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