Last updated on April 18th, 2022 at 05:32 pm
In this post, we will list down a few important formulas that we use to calculate the capacitance of the parallel plate capacitors. But before that, we will have a quick revision of the fundamentals.
A parallel-plate capacitor is a pair of two conductors of any shape which are close to each other and have equal and opposite charges.
A capacitor is an arrangement that can store a sufficient quantity of charge.
The quantity of charge that can be given to a parallel-plate capacitor is limited by the fact that every dielectric medium becomes conducting at a certain value of the electric field.
The capacitance of a parallel-plate capacitor is Directly proportional to the area of the plates (A).
The capacitance of a parallel-plate capacitor is Inversely proportional to the distance between plates (d).
The capacitance of a parallel-plate capacitor is Directly proportional to the dielectric constant of the medium filled between its plates (K).
Capacitance formulas of Parallel plate capacitors
Here are some important Formulas that we can use to calculate the capacitance of parallel plate capacitors.
1 ] The capacitance of a parallel plate capacitor filled completely with some dielectric medium will have a capacitance C = K ε0 A /d.
2 ] For air and vacuum, K = 1. So, with air as the dielectric medium, the equation of the capacitance is
C = ε0 A /d
3 ] The capacitance of a parallel plate capacitor filled with a dielectric slab of thickness t is given by
C = ε0 A /[ d – t[1 – 1/k]]
4 ] The capacitance of a parallel plate capacitor filled with a conducting slab of thickness t is given by
C = ε0 A /(d – t)