Question

Discuss how potential difference and electric field strength are related. Give an example.

a) Potential difference is the integral of electric field strength.

b) Electric field strength is the derivative of potential difference.

c) Potential difference is the product of electric field strength and distance.

d) Electric field strength is independent of potential difference.

Answer 1

Electric field strength is equivalent to the negative derivative of the potential difference with respect to distance.

Step-by-step explanation:

Potential difference and electric field strength are related in the following way: the magnitude of the electric-field strength is equivalent to the negative derivative of the potential difference with respect to distance. In other words, the electric field strength represents the rate of change of potential difference with respect to distance. This relationship can be summarized mathematically as:

E = -dV/dx

Where E is the electric field strength, V is the potential difference, and x is the distance.

For example, if we have two parallel plates with a potential difference of 10 volts across them, and the distance between the plates is 2 meters, the magnitude of the electric field strength between the plates would be 5 volts per meter.