Circuit with switch resistors and capacitor

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Homework Help Overview

The discussion revolves around a circuit involving a capacitor, resistors, and a switch. The problem includes determining the charge on the capacitor, the current immediately after switching, the time constant, and the charge after a specific time interval.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants explore the behavior of the capacitor when the switch is moved, questioning the initial charge and current. Some discuss the equations relevant to the circuit, while others express uncertainty about how to proceed with the problem.

Discussion Status

Some participants have provided equations related to the capacitor's charge and current, while others emphasize the importance of understanding the exponential nature of the capacitor's behavior. There is an ongoing exploration of concepts without a clear consensus on the next steps.

Contextual Notes

Participants note a lack of familiarity with the textbook material and express varying levels of confidence in applying the relevant equations. There is an implicit assumption that the original poster may need to review foundational concepts related to capacitors.

hitman0097
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Homework Statement


For the circuit shown in the figure below, C = 7.50 µF, script e = 80 V, and R = 400 Ω. After having been at contact a for a long time, the switch throw is rotated to contact b.
25-p-095-alt.gif


a.)What is the charge on the upper plate of the capacitor just as the switch throw is moved to contact b?

b.)What is the current just after the switch throw is rotated to contact b?

c.)What is the time constant of this circuit?

d.)How much charge is on the upper plate of the capacitor 7.00 ms after the switch throw is rotated to contact b?

Homework Equations


I=V/R
Inet=V/Req
C=Q/V

The Attempt at a Solution


I have no idea...at all.
 
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I really need so type of help.
 
anyone?
 
When the switch is in the position a for a long time, potential across the capacitor is 80 V.
Qo = CV.
Io = Qo/RC.
RC is the time constant.And using
Q = Qo*e^-t/RC
find Q.
Don't you have any textbook? Didn't you see these equations in the book? Are you not willing to open the book and go through the chapter on capacitor?
 
It helps to remember that the charge stored on a capacitor can't jump instantaneously to a new value, and therefore the voltage across a capacitor can't jump instantaneously to a new value. Both of these have an exponential decay from their initial to their final values. This will put a constraint on the resistor current immediately after the switch is thrown.
 

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