Q.

When an ac source of e.m.f.  e=E0  sin(100 t)  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=1kΩ, C=10μF

b

R=1kΩ, C=1μF

c

R=1kΩ, L=10H

d

R=1kΩ, L=1H

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=XCR⇒tanπ4=1ω CR ⇒ω CR=1  as  ω= 100rad/sec⇒CR=1100sec−1.From all the given options only option (a) is correct.
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