JEE Main 2026 Physics question
An inductor of 10 mH, capacitor of 0.1 μF and a resistor of 100 Ω 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 √3α Ω. The value of α is .
Answer: 100
Solution
cosφ = R/Z = 0.5 gives Z = 200 Ω. Then (XL−XC)² = Z²−R² = 40000−10000 = 30000, so |XL−XC| = 100√3, giving α = 100.