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Problem 32.56 A series RLC circuit consists of a 50 resistor, a 3.3 mH inductor,

ID: 1793032 • Letter: P

Question

Problem 32.56

A series RLC circuit consists of a 50 resistor, a 3.3 mH inductor, and a 480 nF capacitor. It is connected to a 5.0 kHz oscillator with a peak voltage of 5.0 V.

Part A

What is the instantaneous current i when E = E 0 ?

Part B

What is the instantaneous current i when E =0V and is decreasing?

Express your answer with the appropriate units.

Problem 32.56

A series RLC circuit consists of a 50 resistor, a 3.3 mH inductor, and a 480 nF capacitor. It is connected to a 5.0 kHz oscillator with a peak voltage of 5.0 V.

Part A

What is the instantaneous current i when E = E 0 ?

Part B

What is the instantaneous current i when E =0V and is decreasing?

Express your answer with the appropriate units.

Explanation / Answer

R = 50 ohm

L = 3.3 x 10-3 H

C = 480 x 10-9 F

impedence is given as

z = sqrt(R2 + ((2pi fL) - 1/(2pi f C))2)

z = sqrt(502 + ((2x 3.14 x 5000 x 3.3 x 10-3) - 1/(2 x 3.14 x 5000 x 480 x 10-9))2)

z = 62.4 ohm

using ohm's law

i = Eo/z = 5/62.4 = 0.08 A

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