A series circuit contains a resistor and a capacitor as shown in Figure 1. Suppose the capacitor in the circuit initially has zero charge and that there is no initial current. When the switch is at position B, the 10 Volt power supply energized the capacitor through the 250 № resistor, until fully charged, thus producing an output voltage E. At time t=2 seconds, the switch is thrown from position B to A, held there for 1 second, then switch back to B. (c) 10 V (d) 250 92 B Figure 1 10.³F (a) Write the differential equation for the charge q(t) of the circuit. (b) Given the forcing function is zero until t = 2, then has value 10 volts until t = 3, then is zero again, express E(t) in terms of unit step function and sketch the function E(t). Egut Find the charge on the capacitor using part (a) and (b). Use the Laplace transform method. What is the output voltage E(t) on the capacitor?
A series circuit contains a resistor and a capacitor as shown in Figure 1. Suppose the capacitor in the circuit initially has zero charge and that there is no initial current. When the switch is at position B, the 10 Volt power supply energized the capacitor through the 250 № resistor, until fully charged, thus producing an output voltage E. At time t=2 seconds, the switch is thrown from position B to A, held there for 1 second, then switch back to B. (c) 10 V (d) 250 92 B Figure 1 10.³F (a) Write the differential equation for the charge q(t) of the circuit. (b) Given the forcing function is zero until t = 2, then has value 10 volts until t = 3, then is zero again, express E(t) in terms of unit step function and sketch the function E(t). Egut Find the charge on the capacitor using part (a) and (b). Use the Laplace transform method. What is the output voltage E(t) on the capacitor?
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter21: Resistive-capacitive Series Circuits
Section: Chapter Questions
Problem 6RQ: A 15-F AC capacitor is connected in series with a 50 resistor. The capacitor has a voltage rating...
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Question
Transcribed Image Text:A series circuit contains a resistor and a capacitor as shown in Figure 1. Suppose the capacitor
in the circuit initially has zero charge and that there is no initial current. When the switch is at
position B, the 10 Volt power supply energized the capacitor through the 250 № resistor, until
fully charged, thus producing an output voltage E. At time t=2 seconds, the switch is
thrown from position B to A, held there for 1 second, then switch back to B.
(c)
10 V
(d)
250 92
B
Figure 1
10.³F
(a) Write the differential equation for the charge q(t) of the circuit.
(b) Given the forcing function is zero until t = 2, then has value 10 volts until t = 3,
then is zero again, express E(t) in terms of unit step function and sketch the
function E(t).
Egut
Find the charge on the capacitor using part (a) and (b). Use the Laplace transform
method.
What is the output voltage E(t) on the capacitor?
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