Please answer this NEATLY, COMPLETELY, and CORRECTLY for an UPVOTE. For Part I, answer letters a-e:a. What is the working equation for a series RLC circuit which has a resistance of 40 Q, acapacitance of 102 F, an inductance of 20 H and an applied voltage E(t)=100 sint volts?Assuming no initial current and charge when voltage is first applied.A) [D² + D + 5]I = 100 sin tB) [D² + 2D + 5]I = 100 sin tC) [D² + D + 5]I = 5 cos tD) [D² + 2D + 5]I = 5 cos tb. L{I} based on number 1 is given by5s5sA)C)(s²+1)(s²+2s+5)(s²+1)(s²+25+55B)D)(s²+1)(s²+2s+)(s2+1)(s²+2s+5)50For numbers c-e check the given RLC circuit on the right:10 V1.25 H10-1 Cc. The differential equation to solve for the subsequent current is given by .A)dt2+ 4=+ 81 = 0C)d2+ 24+ 81 = 10dt2d²1D)dtdtd²1B)dt21 dl1 dl+ 41 = 8+ 41 = 04 dt4 dtdt2d. Assuming that there is no current and charge when the voltage is first applied, L{I} is givenby8s+3232A)452 151 16C)452 151 16810sB)52+4s+8e. The subsequent current in the circuit isA) I(t) = 4e-8t cos v2tB) I(t) = 4e-2t sin 2 tC) I(t) = 4e-8t sin v2tD) I(t) = 4e-2t cos 2 t%3D

Answered: Image /qna-images/answer/9aaf3448-e75c-42c0-b553-59e31ae79e26.jpg

a. What is the working equation for a series RLC circuit which has a resistance of 40 0, capacitance of 10² F, an inductance of 20 H and an applied voltage E(t)=100 sint volts? Assuming no initial current and charge when voltage is first applied. A) [D² + D + 5]I = 100 sin t B) [D² + 2D + 5]I = 100 sin t C) [D² + D + 5]I = 5 cos t D) [D² + 2D + 5]/ = 5 cos t

a. What is the working equation for a series RLC circuit which has a resistance of 40 0, capacitance of 10² F, an inductance of 20 H and an applied voltage E(t)=100 sint volts? Assuming no initial current and charge when voltage is first applied. A) [D² + D + 5]I = 100 sin t B) [D² + 2D + 5]I = 100 sin t C) [D² + D + 5]I = 5 cos t D) [D² + 2D + 5]/ = 5 cos t

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter33: Inductors And Ac Circuits

Section: Chapter Questions

Problem 75PQ

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Angular speed, acceleration and displacement

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Question

Please answer this NEATLY, COMPLETELY, and CORRECTLY for an UPVOTE.

For Part I, answer letters a-e:
a. What is the working equation for a series RLC circuit which has a resistance of 40 Q, a
capacitance of 102 F, an inductance of 20 H and an applied voltage E(t)=100 sint volts?
Assuming no initial current and charge when voltage is first applied.
A) [D² + D + 5]I = 100 sin t
B) [D² + 2D + 5]I = 100 sin t
C) [D² + D + 5]I = 5 cos t
D) [D² + 2D + 5]I = 5 cos t
b. L{I} based on number 1 is given by
5s
5s
A)
C)
(s²+1)(s²+2s+5)
(s²+1)(s²+25+
5
5
B)
D)
(s²+1)(s²+2s+)
(s2+1)(s²+2s+5)
50
For numbers c-e check the given RLC circuit on the right:
10 V
1.25 H
10-1 C
c. The differential equation to solve for the subsequent current is given by .
A)
dt2
+ 4=+ 81 = 0
C)
d2
+ 24+ 81 = 10
dt2
d²1
D)
dt
dt
d²1
B)
dt2
1 dl
1 dl
+ 41 = 8
+ 41 = 0
4 dt
4 dt
dt2
d. Assuming that there is no current and charge when the voltage is first applied, L{I} is given
by
8s+32
32
A)
452 151 16
C)
452 151 16
8
10s
B)
52+4s+8
e. The subsequent current in the circuit is
A) I(t) = 4e-8t cos v2t
B) I(t) = 4e-2t sin 2 t
C) I(t) = 4e-8t sin v2t
D) I(t) = 4e-2t cos 2 t
%3D

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