Discharging a capacitor through a resistor

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Homework Help Overview

The discussion revolves around a problem involving the discharge of a capacitor through a resistor, specifically focusing on calculating current and remaining charge at given time intervals. The subject area includes concepts from electrical circuits and capacitor discharge behavior.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply the equations for charge and current during capacitor discharge but expresses uncertainty about the variables and their units. Participants clarify the meanings of the variables and their respective units.

Discussion Status

Participants are engaged in clarifying the definitions and units related to the equations provided. Some guidance has been offered regarding the interpretation of the equations, but the original poster is still seeking a clearer understanding of how to apply these concepts to the problem.

Contextual Notes

The original poster indicates confusion regarding the variables in the equations and their units, which may affect their ability to proceed with the calculations. There is an emphasis on understanding the relationship between charge, current, and time in the context of capacitor discharge.

slain4ever
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Homework Statement



A 2 micro F capacitor with an initial charge of 5.1 micro C is discharged through a 1.3 kohm resistor
a) calculate the current though the resistor 9ms after the resistor is connected across the terminals of the capacitor.
b) what charge remains on the capacitor after 8ms
c) what is the maximum current in the resistor?

Homework Equations


This is what i need help with

my book gives me:
q(t) = Q e ^ -t/RC
I(t) = (Io) e^-t/RC

im not 10% sure how to use this/these formulas to get the answers,

The Attempt at a Solution


my guess is that Q is 5.1 * 10^-6
R = 1.3 * 10^3
C = 2 * 10 ^ -6
t = 9ms (a), 8ms (b)

but i don't know what q and t on the left side of the equation mean nor what units it is in
 
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q(t) means the charge on the capacitor at time t after the resistor has been connected. I(t) is the current flowing in the circuit (so across the resistor, too, at time t.

ehild
 
oh so its just like f(x)

and what are the units?

also is time in seconds?
 
Last edited:
Yes, they are functions of the time (t) like f(x) is function of x. The unit of t is s (second) , q is charge, its unit is C (coulomb) and I is current, its unit is A (ampere)

ehild
 

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