A sinusoidal voltage with a frequency of 50 Hz is applied to a series L C R circuit with a resistance of 5 Ω , inductance of 20 mH and a capacitance of 500 μ F . The magnitude of impedance of the circuit is close to

Question

A sinusoidal voltage with a frequency of 50 Hz is applied to a series L C R circuit with a resistance of 5 Ω , inductance of 20 mH and a capacitance of 500 μ F . The magnitude of impedance of the circuit is close to, 19 . 2 Ω, 14 . 4 Ω, 9 . 6 Ω, 5 Ω

MARKS App · Accepted Answer

The impedance for L C R circuit is, Z = R 2 + X L - X C 2 ∴ Z = R 2 + ω L - 1 ω C 2 ∴ Z = 5 2 + 2 π × 50 × 20 × 10 - 3 - 1 2 π × 50 × 500 × 10 - 6 2 ∴ Z ≈ 25 = 5 Ω

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