1. What is the working equation for a series RLC circuit which has a resistance of 40 , a capacitance of 10-2 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.

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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. What is the working equation for a series RLC circuit which has a resistance of 40 , a
capacitance of 10-2 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]1 = 100 sint
2. L{I} based on number 1 is given by
A)
B)
5s
(s² + 1)(s² + 2s + 5)
5
(5² + 1) (5² + 25 + ²)
2s
C)
D)
D)
[D² + D + 5]I = 5 cos t
[D² + 2D + 5]I = 5 cost
5s
(s² + 1) (s² +28+)
5
(s² + 1)(s² + 2s + 5)
Transcribed Image Text:1. What is the working equation for a series RLC circuit which has a resistance of 40 , a capacitance of 10-2 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]1 = 100 sint 2. L{I} based on number 1 is given by A) B) 5s (s² + 1)(s² + 2s + 5) 5 (5² + 1) (5² + 25 + ²) 2s C) D) D) [D² + D + 5]I = 5 cos t [D² + 2D + 5]I = 5 cost 5s (s² + 1) (s² +28+) 5 (s² + 1)(s² + 2s + 5)
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