What is the capacitance of the capacitor?

Question

The charge on a capacitor increases by 20 µC when the voltage across it increases from 80 V to 121 V. What is the capacitance of the capacitor?

Answer 1

Capacitance, C, is the ratio of the total charge stored in a capacitor with the potential difference across the plates of the capacitor. Now, capacitance does not change with potential difference, thus, the capacitance remains the same. What is tricky here, is that we do not know the total charge stored at either 80 V or 121 V. We then solve for it first.

C at 80 V= C at 121 V
Q/80 = (Q + 20µC)/121
121Q = 80Q + 80(20 µC)
41Q = 80(20 µC)
Q = 80(20 µC)/41

Now that we know Q, we can solve for C.

C = Q/V
C = [80(20 µC)/41]/80 V
C = 20/41 µF [the unit µC/V is equivalent to µF]

Answer 2

This Site Might Help You.

RE:
What is the capacitance of the capacitor?
The charge on a capacitor increases by 20 µC when the voltage across it increases from 80 V to 121 V. What is the capacitance of the capacitor?

Answer 3

For the best answers, search on this site https://shorturl.im/oBmko

Given that there are only two values given in the problem, it's obviously not that hard of a problem. (It's been a while since I've taken circuits, but I've taken other higher level classes of varying natures and this *tends* to be true.) Thumb through the book and find the section on capacitive resistance and find the proper equation in there. Maybe you could even use Google. Good luck.

Answer 4

Define Capacitance

Answer 5

Here's a hint. The unit for capacitance is coulombs per volt.

Answer 6

Don't you mean capacity?