Solving Discharging Circuit Homework

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In summary, the question asks how long it takes for the charge on capacitor C2 to drop to 36.8% of its fully-charged value after switch S2 is reopened. The relevant equation is the time constant formula, RC, which requires finding the equivalent resistance. As voltage drops, less charge is accumulated on the capacitor's plates. With only S2 reopened, all resistors are in parallel.
  • #1
driedupfish
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Homework Statement


http://online.physics.uiuc.edu/cgi/courses/shell/common/showme.pl?courses/phys212/oldexams/exam2/fa06/fig17.gif
After a very long time with both switches in the closed position, switch S2 is reopened. How long does it take for the charge on capacitor C2 to drop to 1/e (36.8%) of its fully-charged value (i.e. of the value it had just before S2 was reopened)?


Homework Equations


Time constant = RC
capchg7.gif


The Attempt at a Solution


I try to find the total resistance, but am not sure how. I am not even sure what it means by "drop to 1/e (36.8%)". Does it mean 36.8% of the total charge?
 
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  • #2
driedupfish said:

Homework Statement


http://online.physics.uiuc.edu/cgi/courses/shell/common/showme.pl?courses/phys212/oldexams/exam2/fa06/fig17.gif
After a very long time with both switches in the closed position, switch S2 is reopened. How long does it take for the charge on capacitor C2 to drop to 1/e (36.8%) of its fully-charged value (i.e. of the value it had just before S2 was reopened)?


Homework Equations


Time constant = RC
capchg7.gif


The Attempt at a Solution


I try to find the total resistance, but am not sure how. I am not even sure what it means by "drop to 1/e (36.8%)". Does it mean 36.8% of the total charge?

yes, since charge is a function of voltage here. As the voltage drops, less charge is accumulated on the plates of the capacitor.
 
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  • #3
Okay, to find the time constant, RC, I have to find the equivalent resistor at that point. But I don't know how? With only S2 reopened, are all the resistors now in parallel?
 

FAQ: Solving Discharging Circuit Homework

What is a discharging circuit?

A discharging circuit is a type of electrical circuit that allows stored electrical energy to be released through a load. This process is also known as discharging or depletion.

How do I solve a discharging circuit homework problem?

To solve a discharging circuit homework problem, you will need to use Ohm's law, Kirchhoff's laws, and other principles of circuit analysis. You will also need to apply techniques such as substitution, series and parallel simplification, and node and loop analysis.

What are the key components of a discharging circuit?

The key components of a discharging circuit include a power source (such as a battery), a resistor, and a switch. Other components such as capacitors, inductors, and diodes may also be present depending on the specific circuit.

How does the discharging process work?

The discharging process in a circuit involves the flow of electric current from the power source through the resistor and back to the power source. As the current passes through the resistor, it causes a voltage drop, resulting in the gradual depletion of the stored energy in the circuit.

What are some common applications of discharging circuits?

Discharging circuits have a variety of applications, including in battery-powered devices such as cell phones and laptops, in electronic circuits used in automobiles and other machinery, and in specialized equipment used in scientific research and experiments.

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