Which of the following is the correct relationship between the electric field strength and the potential difference?
The E-field in any direction is the rate of change of potential with distance along that direction.
The a question contains the words"the following", you really must state what the choices are.
And please stop changing names.
The relationship between electric field strength (E) and potential difference (V) is given by the equation:
E = V / d
where E is the electric field strength in volts per meter (V/m), V is the potential difference in volts (V), and d is the distance between the plates in meters (m).
To get the answer, you need to divide the potential difference (V) by the distance (d) between the plates or the points where you measure the potential difference. This will give you the magnitude of the electric field strength (E) between the points.
Note that the electric field strength is a measure of the force experienced by a unit positive charge placed in the electric field between the plates, while the potential difference is a measure of the electric potential energy difference per unit charge between the two points. So, the electric field strength is directly proportional to the potential difference.