If the electric field is 12 v/m in the positive x-direction, what is the potential difference between the origin, (0, 0), and the point (3.0 m, 4.0 m)?

In electromagnetism, an electric field is induced between two oppositely charged parallel plates. This electric field is a consequence of the difference of the potential energy of the plates and the distance between them. The equation is E =V/d, where E is the electric field in volts/m or Joules, V is the voltage of the potential difference in volts, and d is the distance between the plates in meters.

First, we substitute the distance through the distance formula

d = √[(x2-x1)^2+(y2-y1)^2]
d = √[(3-0)^2+(4-0)^2]
d = 5 meters

Substituting the values:
E = V/d
12 = V/5
V = 60 volts