Need help on a Calculus homework question about electrical current

Calculus
Tutor: None Selected Time limit: 1 Day

A capacitor has 100V of charge on it.  An electrical current is supplied to it, with .  After .25 seconds, the capacitor has charged to 220 V. What is its capacitance?

Nov 2nd, 2015

Thank you for the opportunity to help you with your question!

We have the equation as

i=C*(dV/dt)

i=current,Missing in the question,from different sources I have found the i should be given as i=.25t^2

dV=change in voltage

C=capacitance

It can be written as

idt=CdV

i (dt)=C int(dV)

Integrating both side

int.25t^2**dt=C*(V2-V1)

(.25*t^3)/3=120C*(V2-V1)

Solve

C=.25^4/3*120 farad=1.08*10^-5 F =10.85micro Farad.(answer)



Please let me know if you need any clarification. I'm always happy to answer your questions.
Nov 2nd, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Nov 2nd, 2015
...
Nov 2nd, 2015
Dec 9th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer