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A resistor of 50 Ω, an inductor of \(\frac {20}{\pi}\) H and a capacitor of \(\frac {5}{\pi }\) μF are connected in series to a voltage supply of 230 V – 50 Hz. Find the impedance of the circuit.(a) 150 Ω(b) 250 Ω(c) 350 Ω(d) 50 ΩThis question was addressed to me in an interview for internship.Question is taken from AC Voltage Applied to a Series LCR Circuit in section Alternating Current of Physics – Class 12

Answer»

The CORRECT CHOICE is (d) 50 Ω

The explanation is: XL = 2πfL

XL = 2π × 50 × \((\FRAC {20}{\pi })\) = 2000 Ω.

XC = \(\frac {1}{2πfC}\)

XC = 2000 Ω.

Z = √(R^2 + (XL – XC)^2

Z = √50^2 + (2000 – 2000)^2

Z = 50 Ω.



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