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RC Circuits

Q1: A 2 k resistor is in series with a 0.015 F capacitor across a 15 kHz ac source. What is the magnitude of the total impedance and the phase angle?

A 73.4  and θ = –19.5°

B 707  and θ = –19.5°

C 2121  and θ = –19.5°

D 734  and θ = –38.9°

ANS:C - 2121  and θ = –19.5°

Xc = 1/2πfC = 707 Ω Z = R - jXc = 2000 - j(707) |z| = sqrt(R*R + Xc*Xc) = 2121 Ω Phase angle = arctangent(Xc/R) = 19.5°



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