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← JEE Main 2022 · 30 Jul · Shift 2
PhysicsInteger+4 / -1Question 23 of 90

JEE Main 2022 · 30 Jul · Shift 2, Physics question 23

A sinusoidal voltage V(t) = 200 sin2000 t volt is applied to a series LCR circuit in which L = 10 mH, C = 25 μF and R = 100 Ω. The impedance of the circuit is _______ Ω

Answer and worked solution

Official answer: 100

Reactances XL=2000×0.01=20X_L=2000\times0.01=20 Ω, XC=12000×25×10−6=20X_C=\frac1{2000\times25\times10^{-6}}=20 Ω: resonance, Z=R=100Z=R=100 Ω.

Answer: 100