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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