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Physics · PYQ NEET UG 2025
हिन्दीTo an ac power supply of \( 220\text{ V} \) at \( 50\text{ Hz} \), a resistor of \( 20\ \Omega \), a capacitor of reactance \( 25\ \Omega \) and an inductor of reactance \( 45\ \Omega \) are connected in series. The corresponding current in the circuit and the phase angle between the current and the voltage is, respectively -
Correct answer · Option 2
\( 7.8\text{ A and }45^\circ \)
Explanation
Impedance \( Z = \sqrt{R^2 + (X_L - X_C)^2} = \sqrt{20^2 + (45 - 25)^2} = \sqrt{20^2 + 20^2} = 20\sqrt{2}\ \Omega \approx 28.28\ \Omega \). Current \( I = \frac{V}{Z} = \frac{220}{28.28} \approx 7.78\text{ A} \approx 7.8\text{ A} \). Phase angle \( \tan\phi = \frac{X_L - X_C}{R} = \frac{20}{20} = 1 \implies \phi = 45^\circ \).
