The capacitor voltage v(t) in an RC circuit connected to a sinusoidal input voltage sin 2t is described by the following equation Hint. where t is time. (a) Find the solution of the above equation. (b) Show that in steady state (i.e., for large t), the voltage v(t) is a periodic function and determine the period of v(t). Lear dv dt ear sin bx dx + 3v = sin 2t = eax √a² +6² ¹ sin(bx - tan
The capacitor voltage v(t) in an RC circuit connected to a sinusoidal input voltage sin 2t is described by the following equation Hint. where t is time. (a) Find the solution of the above equation. (b) Show that in steady state (i.e., for large t), the voltage v(t) is a periodic function and determine the period of v(t). Lear dv dt ear sin bx dx + 3v = sin 2t = eax √a² +6² ¹ sin(bx - tan
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:The capacitor voltage v(t) in an RC circuit connected to a sinusoidal input
voltage sin 2t is described by the following equation
where t is time.
(a) Find the solution of the above equation.
(b) Show that in steady state (i.e., for large t), the voltage v(t) is a periodic function
and determine the period of v(t).
Hint.
dv
2 + 3v = sin 2t
dt
Jeª
ear sin bx dx
eax
√a² +6²
b
a¯¹(--))
sin(bx — tan¯
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