PhysicsJEE Main 4 Apr 2026, Shift 1·Q25·Numerical·Easy–moderate

Alternating Current · LCR and power

An inductor, a capacitor and a resistor of

100\ \Omega

are connected in series across an a.c power supply 220 V, 70 Hz. The power factor of the given circuit is 0.5. The difference in the inductive reactance and capacitance reactance is

\sqrt3\,\alpha\ \Omega

. The value of

\alpha

is .

We corrected a printing error in the original paper

Source printed “An inductor of 10 mH, capacitor of $0.1\ \mu$ F and a resistor of $100\ \Omega$ are connected in series aross”; corrected to the intended “An inductor, a capacitor and a resistor of $100\ \Omega$ are connected in series across” (10 mH and $0.1\ \mu$ F at 70 Hz give a power factor of about 0.004, contradicting the stated 0.5 on which the key rests).

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Alternating Current · LCR and power

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