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Q.

When an ac source of e.m.f.  e=E0  sin(100t)  is connected across a circuit, the phase difference between the e.m.f. e and the current i in the circuit is observed to be π/4, as shown in the diagram. If the circuit consists possibly only of RC or LC in series, find the relationship between the two elements 

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a

R=1,L=1H

b

R=1,L=10H

c

R=1,C=10μF

d

R=1,C=1μF

answer is A.

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Detailed Solution

As the current i leads the voltage by π4,  it is an RC circuit, hence  tanφ=XCRtanπ4=1ωCR 
ωCR=1  as  ω= 100rad/sec
CR=1100sec1.
From all the given options only option (a) is correct.

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