Capacitance of a Parallel Plate Capacitor

0
361
Capacitance of a parallel plate capacitor

Capacitance of a parallel plate capacitor

  • A parallel plate capacitor consists of two large plane parallel conducting plates separated by a small distance.

  • Suppose two plates of the capacitor have equal and opposite charge Q on them. If A is the area of each plate then surface charge density on each plate is
  • Suppose two plates of the capacitor have equal and opposite charge Q on them. If A is the area of each plate then surface charge density on each plate is

  • We have already calculated field between two oppositely charged plates using Gauss’s law which is and in this result effects near the edges of the plates have been neglected

  • Since electric field between the plates is uniform the potential difference between the plates is

where d is the separation between the plates.

  • Thus, capacitance of parallel plate capacitor in vacuum is

  • We see that quantity on which capacitance of parallel plate capacitor depends i.e.,ε0 , A and d are all constants for a capacitor.
  • Thus we see that in this case capacitance is independent of charge on the capacitor but depends on the area of its plates and separation distance between the plates.

How useful was this post?

Click on a star to rate it!

Average rating / 5. Vote count:

As you found this post useful...

Follow us on social media!

We are sorry that this post was not useful for you!

Let us improve this post!

LEAVE A REPLY

Please enter your comment!
Please enter your name here