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

Question

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

Infinity Learn · Accepted Answer

As the current i leads the voltage by π$$4$$,  it is an RC circuit, hence  $$tan$$φ$$=XCR$$⇒$$tan$$$$π$$$$4=1$$ω 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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