A series RLC circuit has a resistance of 7.5 N, a capacitance of 10-2 F, an inductance of 1/6 H, and an applied voltage E = 12 V. Assuming no initial current and charge when voltage is first applied, find the subsequent current in the system. 1. What is the simplified linear ODE with constant coefficient from the problem? A. (D² + 42D + 600)I = 0 B. (D² + 45D + 40/3)I = 0 C. (D² + 45D + 600)/ = 0 D. None of the choices 2. What is the equation to solve for I of the system? 5/15 5/15 5/15 5/15 A. 1 = e¬45t ( Bị cos -t + B2 sin- 2 C. 1 = e B, cos· 2 -t + B2 sin- 2 2 5V15, 45 B. 1 = e (B, cos÷t+B2 sint) 45 D. None of the choices 3. What is the value of constant B,? С. 45 D. 72 A. -72 В. О
A series RLC circuit has a resistance of 7.5 N, a capacitance of 10-2 F, an inductance of 1/6 H, and an applied voltage E = 12 V. Assuming no initial current and charge when voltage is first applied, find the subsequent current in the system. 1. What is the simplified linear ODE with constant coefficient from the problem? A. (D² + 42D + 600)I = 0 B. (D² + 45D + 40/3)I = 0 C. (D² + 45D + 600)/ = 0 D. None of the choices 2. What is the equation to solve for I of the system? 5/15 5/15 5/15 5/15 A. 1 = e¬45t ( Bị cos -t + B2 sin- 2 C. 1 = e B, cos· 2 -t + B2 sin- 2 2 5V15, 45 B. 1 = e (B, cos÷t+B2 sint) 45 D. None of the choices 3. What is the value of constant B,? С. 45 D. 72 A. -72 В. О
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A series RLC circuit has a resistance of 7.5 N, a capacitance of 10-2 F , an inductance of 1/6 H, and
an applied voltage E = 12 V. Assuming no initial current and charge when voltage is first applied,
find the subsequent current in the system.
1. What is the simplified linear ODE with constant coefficient from the problem?
A. (D² + 42D + 600)I = 0
B. (D² + 45D + 40/3)I = 0
C. (D² + 45D + 600)! = 0
D. None of the choices
2. What is the equation to solve for I of the system?
5V15
A. 1 = e-45t (B, cos t + B2 sin-
平)
5V15
Bị cos t + B2 sin·
2
5/15
5/15
C. I= e'
2
2
5/15,
45
B. 1 = e(B, cos÷t+B2 sin t)
45
D. None of the choices
3. What is the value of constant B,?
С. 45
D. 72
A. -72
В. О
4. What is the value of I'(0)?
A. -72
В. О
С. 45
D. 72
5. What is the final equation to solve for the subsequent current of the system?
(48/15
5/15
45, (48V15
5/15
A. 1= e-45t
25
cos
2
C. I = eT
|sin
2
25
5V15, (48/15)
1 = e2
45
cost
2
В.
D. None of the choices
25
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