Question

A series RLC circuit consists of a 21 Ω resistor, a 0.10 H inductor, and a 110 μF capacitor. It draws a 2.8 A rms current when attached to a 60 Hz source.

A.) What is the emf E_rms?

Express your answer to two significant figures and include the appropriate units.

B.) What is the phase angle ϕ?

Express your answer using two significant figures.

C.) What is the average power loss?

Express your answer to two significant figures and include the appropriate units.

Answer 1

Xl = 2 pi x 60 x 0.1 = 37.70 ohm

Xc = 1/ 2 pi x 60 x 110 x 10^-6 = 24.11 ohm

Impedance, Z = sqrt (21^2 + (37.70 - 24.11)^2) = 25.01 ohm

Erms = 2.8 x 25.01 = 70.03 V

B)

Phi = arctan ((37.7 - 24.11)/21) = 32.91 degree

C)

Power loss = 70.03 x 2.8 x cos32.91 = 164.62 W

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