RC Circuits – 8

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8. A 2 kΩ resistor is in series with a 0.015 μF capacitor across a 15 kHz ac source. What is the magnitude of the total impedance and the phase angle?

(a) 73.4 Ω and θ = –19.5°
(b) 707 Ω and θ = –19.5°
(c) 2121 Ω and θ = –19.5°
(d) 734 Ω and θ = –38.9°

Answer
Answer : (c)
Explanation
Explanation : 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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