By Team Aakash Byju's | 1st February 2023
A parallel plate capacitor has a uniform electric field E in the space between the plates. If the distance between the plates is d & the area of each plate is A, the energy stored in the capacitor is
0
E Ad
2
ε E Ad
2
E
2
0
1
2
0
1
2
ε E Ad
2
0
Detailed Explanation
ε E Ad
2
0
1
2
The magnitude of the magnetic field produced in the given case will be perpendicular to the electron's motion.
d
E
The capacitance of the given capacitor is
d
E
C = , where 0 is the permittivity of air.
The potential difference between the plates is
V = Ed, where E is the electric field
ε A
0
d
Thus, the total energy stored in the capacitor will be
d
E
U =
1
CV
2
2
U =
1
CV
2
2
=
ε A
0
d
1
2
(Ed)
2
U =
1
2
E Ad
2