Consider the RLC series circuit shown in the figure below. The current in the circuit is given by i(t) = I cos[(9580 rad/s){], where I is amplitude current. The voltage amplitude of the AC source is 112 V. R = 335 N C = 0.625 µF L = 75.8 mH i. Find the equation for the voltage across the inductor with time. A. vL(t) = (125 V) cos[(9580 rad/s)t + a rad] B. vL(t) = (112 V) cos[(9580 rad/s)t| %3D C. vL(t) = (125 V) cos[(9580 rad/s)t + 1/2 rad] D. vL(t) = (112 V) cos[(9580 rad/s) t + 1.03 rad] E. v1(t) = (125 V) cos[(9580 rad/s)t – 1/2 rad] %3D %3D ii. Find the equation for the voltage across the capacitor with time. A. vo(t) = (28.7 V) cos[(9580 rad/s)t – 1/2 rad] B. vo(t) = (28.7 V) cos[(9580 rad/s)t + 1/2 rad] %3D %3D C. vo(t) = (28.7 V) cos[(9580 rad/s) t + a rad] D. vďt) = (112 V) cos[(9580 rad/s)t + 2.11 rad] E. vo(t) = (215 V) cos[(9580 rad/s)t – a/2 rad] %3D %3D %3D

Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter33: Alternating Current Circuits
Section: Chapter Questions
Problem 33.1OQ: An inductor and a resistor are connected in series across an AC source as in Figure OQ33.1....
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Consider the RLC series circuit shown in the figure below.
The current in the circuit is given by i(t) = I cos[(9580 rad/s)t], where I is the
amplitude current. The voltage amplitude of the AC source is 112 V.
R = 335 N
C = 0.625 µF
L = 75.8 mH
i. Find the equation for the voltage across the inductor with time.
A. vL(t) = (125 V) cos[(9580 rad/s)t + a rad]
B. vµ(t) = (112 V) cos[(9580 rad/s)t|
C. vĽ(t) = (125 V) cos[(9580 rad/s)t + «/2 rad]
%3D
%3D
D. vµ(t) = (112 V) cos[(9580 rad/s)t + 1.03 rad]
E. v1(t) = (125 V) cos[(9580 rad/s)t – a/2 rad]
ii. Find the equation for the voltage across the capacitor with time.
A. vo(t) = (28.7 V) cos[(9580 rad/s)t – 7/2 rad]
B. vc(t) = (28.7 V) cos[(9580 rad/s)t + x/2 rad]
C. vo(t) = (28.7 V) cos[(9580 rad/s)t + ™ rad]
D. vďt) = (112 V) cos[(9580 rad/s)t + 2.11 rad]
E. vo(t) = (215 V) cos[(9580 rad/s)t – a/2 rad]
%3D
Transcribed Image Text:Consider the RLC series circuit shown in the figure below. The current in the circuit is given by i(t) = I cos[(9580 rad/s)t], where I is the amplitude current. The voltage amplitude of the AC source is 112 V. R = 335 N C = 0.625 µF L = 75.8 mH i. Find the equation for the voltage across the inductor with time. A. vL(t) = (125 V) cos[(9580 rad/s)t + a rad] B. vµ(t) = (112 V) cos[(9580 rad/s)t| C. vĽ(t) = (125 V) cos[(9580 rad/s)t + «/2 rad] %3D %3D D. vµ(t) = (112 V) cos[(9580 rad/s)t + 1.03 rad] E. v1(t) = (125 V) cos[(9580 rad/s)t – a/2 rad] ii. Find the equation for the voltage across the capacitor with time. A. vo(t) = (28.7 V) cos[(9580 rad/s)t – 7/2 rad] B. vc(t) = (28.7 V) cos[(9580 rad/s)t + x/2 rad] C. vo(t) = (28.7 V) cos[(9580 rad/s)t + ™ rad] D. vďt) = (112 V) cos[(9580 rad/s)t + 2.11 rad] E. vo(t) = (215 V) cos[(9580 rad/s)t – a/2 rad] %3D
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