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Q.

In a black box of unknown elements (L or R or any other combination), an ac voltageE=E0 sin ωt+ϕ is applied and current in the circuit was found to be I=I0 sin ωt+ϕ+π/4. Then the unknown elements in the box may be

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a

only capacitor

b

inductor and resistor both

c

either capacitor, resistor, and inductor or only capacitor and resistor

d

only resistor

answer is C.

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Detailed Solution

Since current is leading emf, capacitor must be present in the circuit. Along with capacitor, there can be either (i) only resistor
or (ii) resistor and inductor if XC > XL

In both of the above conditions, we can obtain a phase difference ofπ/4 with current leading emf

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