Consider a pair of parallel plates with a potential difference of 12 V and are separated by 12 cm.
What is the potential energy of a 1.0 C charge at point A, exactly 30. cm from each plate?
12 cm? Lord, there is fringing. OK, with fringing, the mid point plane through the center of the plates, parallel to the plates, is 6volts potential.
PE= Vq=you do it.
To find the potential energy of a charge at point A, we first need to find the electric field between the plates and then use that field to calculate the potential energy.
Step 1: Calculate the electric field between the plates.
The electric field (E) between the parallel plates can be calculated using the formula:
E = V / d
Where:
- E is the electric field
- V is the potential difference between the plates, which is 12 V in this case
- d is the separation between the plates, which is 12 cm or 0.12 m in this case
Plugging in the values, we get:
E = 12 V / 0.12 m = 100 V/m
Step 2: Calculate the potential energy of the charge at point A.
The electric potential energy (PE) of a charge in an electric field is given by the formula:
PE = q * V
Where:
- PE is the potential energy
- q is the charge, which is 1.0 C in this case
- V is the potential difference between the plates, which is 12 V in this case
Plugging in the values, we get:
PE = 1.0 C * 12 V = 12 J
Therefore, the potential energy of a 1.0 C charge at point A, exactly 30 cm from each plate, is 12 Joules.