menu
QAmmunity.org
Login
Register
My account
Edit my Profile
Private messages
My favorites
Register
Ask a Question
Questions
Unanswered
Tags
Categories
Ask a Question
A capacitor with an initial potential difference of 100 V is discharged through a resistor when a switch between them is closed at t 0.At t 10.0 s, the potential difference across the capacitor is 1.00
asked
Aug 22, 2022
209k
views
0
votes
A capacitor with an initial potential difference of 100 V is discharged through a resistor when a switch between them is closed at t 0.At t 10.0 s, the potential difference across the capacitor is 1.00 V. (a) What is the time constant of the circuit
Physics
college
JuanDMeGon
asked
by
JuanDMeGon
6.6k
points
answer
comment
share this
share
0 Comments
Please
log in
or
register
to add a comment.
Please
log in
or
register
to answer this question.
1
Answer
3
votes
Answer:
τ = RC = 2.17 s
Step-by-step explanation:
The voltage through a capacitor can't change instantaneously, so immediately after the switch is closed, the potential difference will keep at 100 V.
This voltage will produce a flow of charge (a current) from the capacitor to the resistor, which will be diminishing continuously, till the capacitor be totally discharged, and the current becomes zero.
The voltage through the capacitor will follow an exponential function of time, as follows:
Replacing by the givens in (1):
Taking ln on both sides in (2), and solving for RC, we have:
So, the time constant of the circuit (the product of R times C) is equal to 2.17s.
Wosc
answered
Aug 26, 2022
by
Wosc
6.8k
points
ask related question
comment
share this
0 Comments
Please
log in
or
register
to add a comment.
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.
7.5m
questions
10.0m
answers
Other Questions
At sea level, water boils at 100 degrees celcius and methane boiled at -161 degrees celcius. Which of these substances has a stronger force of attraction between its particles? Explain your answer
Physical properties of minerals graphic organizer
A 75-kg refrigerator is located on the 70th floor of a skyscraper (300meters a over the ground) What is the potential energy of the refrigerator? #PLEASE HELP
What is the meant by the frequency of a wave? What is the unit?
Is this true or false ethics deals with morals and values and can be measured and tested using the scientific method. Thank you for answering and your help
Twitter
WhatsApp
Facebook
Reddit
LinkedIn
Email
Link Copied!
Copy
Search QAmmunity.org