The problem involves a capacitor with an initial charge that is discharged through a resistor. Participants are tasked with determining the time, expressed as a multiple of the time constant τ, required for the capacitor to lose specific fractions of its charge: the first 1/8-th and 7/8-th of its charge.
The discussion is ongoing, with some participants providing guidance on setting up the exponential equations and suggesting the use of logarithms. However, there is a lack of consensus on the participants' understanding of these concepts, as some express uncertainty about their prior knowledge.
There is an indication that the concepts involved may have been covered in class, but some participants are unsure about their grasp of the material, leading to a reliance on external resources for clarification.
Welcome to the PF.Onur said:Homework Statement
A capacitor with initial charge q0 is discharged through a resistor. What multiple of the time constant τ gives the time the capacitor takes to lose
Homework Equations
(a) the first 1/8-th of its charge
(b)7/8-th of its charge?
The Attempt at a Solution
since ı know q0.e-t/rc but ı could not do it
no i don't knowberkeman said:Welcome to the PF.
Just set up those exponential equations and solve for time. Do you know how to take the natural log of both sides of an exponential equation to be able to pull the time variable out of the exponential?
I'm pretty sure they have been covered in your class, and here is a simple refresher for you:Onur said:no i don't know