ww R 36. An RC circuit includes a voltage source v,, a resistor R = 48 2, and a capacitor C = 2.4 x 10-6 F, as shown V₂ in the figure. The differential equation that describes the response of the cir- cuit is: Vc (1) dv RC = RC². dt RC where v, is the voltage of the capacitor. Initially, v, = 0, and then at t = 0 the voltage source is changed. Determine the response of the circuit for the fol- lowing three cases: (a) v, 5 sin (20x) V for 120. (b) v. = 5e-t/0.08 sin (20x) V for 120.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter29: Direct Current (dc) Circuits
Section: Chapter Questions
Problem 60PQ: Figure P29.60 shows a simple RC circuit with a 2.50-F capacitor, a 3.50-M resistor, a 9.00-V emf,...
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36. An RC circuit includes a voltage
ww
R
Vs
Vc (t)
source v,, a resistor R = 48 2, and a
capacitor C = 2.4 x 10-6 F, as shown
in the figure. The differential equation
that describes the response of the cir-
cuit is:
dv
=+
V =
dt RC RC's
where v, is the voltage of the capacitor. Initially, v, = 0, and then at t = 0 the
voltage source is changed. Determine the response of the circuit for the fol-
lowing three cases:
(a) v, = 5 sin (20nt) V for 120.
(b) V₁ = Se-1/0.085 sin (20nt) V for 120.
Transcribed Image Text:36. An RC circuit includes a voltage ww R Vs Vc (t) source v,, a resistor R = 48 2, and a capacitor C = 2.4 x 10-6 F, as shown in the figure. The differential equation that describes the response of the cir- cuit is: dv =+ V = dt RC RC's where v, is the voltage of the capacitor. Initially, v, = 0, and then at t = 0 the voltage source is changed. Determine the response of the circuit for the fol- lowing three cases: (a) v, = 5 sin (20nt) V for 120. (b) V₁ = Se-1/0.085 sin (20nt) V for 120.
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