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.