A sinusoidal voltage of peak value 283 V and angular frequency 320 s - 1 is applied to a series L C R circuit. Given that R = 5 Ω , L = 25 mH and C = 1000 μF . The total impedance and phase difference between the voltage across the source and the current will respectively be-

Question

A sinusoidal voltage of peak value 283 V and angular frequency 320 s - 1 is applied to a series L C R circuit. Given that R = 5 Ω , L = 25 mH and C = 1000 μF . The total impedance and phase difference between the voltage across the source and the current will respectively be-, 10 Ω a n d tan - 1 ⁡ 5 3, 7 Ω a n d 45 o, 7 Ω a n d tan - 1 ⁡ 5 3, 10 Ω a n d tan - 1 ⁡ 8 3

MARKS App · Accepted Answer

ε 0 = 283 volt , ω = 320 s - 1 X L = 320 × 25 × 10 - 3 = 8 Ω X C = 1 ω C = 1 320 × 1000 × 10 - 6 X C = 10000 320 = 3.1 Ω R = 5 Ω Z = R 2 + X L - X C 2 = 50 ≈ 7 Ω tan ⁡ ϕ = X L - X C R = 1 ⟹ ϕ = 45 o

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