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Phasor Diagrams in AC Circuits

In a black bo...

Question

In a black box of unknown elements $(L$ or $R$ or any other combination $)$ , an ac voltage $E = E_{0} sin (ω t + ϕ)$ is applied and current in the circuit was found to be $I = I_{0} sin [ω t + ϕ + (π / 4)]$ . Then the unknown elements in the box may be

A

Only capacitor

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B

Inductor and resistor both

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C

Either capacitor, resistor, inductor or only capacitor and resistor

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D

Only resistor

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Solution

The correct option is C Either capacitor, resistor, inductor or only capacitor and resistor
current lags the voltage. therefore the total reactance of the circuit must be capacitive.
therefore the black box must contain either capacitor, resistor and inductor OR capacitor and resistor only.

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