) The switch is opened, so the output voltage increases. What is the time constant that describes ne charging of the capacitor in terms of R and C? O When Vout reaches 10 V, the switch closes and the capacitor begins to discharge. What is the me constant that describes the discharging in terms of R and C? Hint: Apply Kirchhoff's Rules o both loops and the sum of the currents at the junction above the capacitor in the diagram, and se I=dq/dt. the switch opens when Vout reaches a lower value, say 5V, the capacitor will charge again, and us one can cycle the voltage with a time constant determined by the circuit: this demonstrates ne principle of operation of an electronic timer. 4R 15 V Vout

Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter20: Capacitance In Ac Circuits
Section: Chapter Questions
Problem 2PA: You are working in an industrial plant. You have been instructed to double the capacitance connected...
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Question
In the diagram below, the switch S has been closed for a long time. A) What is the output voltage
Vout? What is the charge on the capacitor?
b) The switch is opened, so the output voltage increases. What is the time constant that describes
the charging of the capacitor in terms of R and C?
c) When Vout reaches 10 V, the switch closes and the capacitor begins to discharge. What is the
time constant that describes the discharging in terms of R and C? Hint: Apply Kirchhoff's Rules
to both loops and the sum of the currents at the junction above the capacitor in the diagram, and
use I=dq/dt.
If the switch opens when Vout reaches a lower value, say 5V, the capacitor will charge again, and
thus one can cycle the voltage with a time constant determined by the circuit: this demonstrates
the principle of operation of an electronic timer.
4R
S
15 V
Vout
R
Transcribed Image Text:In the diagram below, the switch S has been closed for a long time. A) What is the output voltage Vout? What is the charge on the capacitor? b) The switch is opened, so the output voltage increases. What is the time constant that describes the charging of the capacitor in terms of R and C? c) When Vout reaches 10 V, the switch closes and the capacitor begins to discharge. What is the time constant that describes the discharging in terms of R and C? Hint: Apply Kirchhoff's Rules to both loops and the sum of the currents at the junction above the capacitor in the diagram, and use I=dq/dt. If the switch opens when Vout reaches a lower value, say 5V, the capacitor will charge again, and thus one can cycle the voltage with a time constant determined by the circuit: this demonstrates the principle of operation of an electronic timer. 4R S 15 V Vout R
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