Answer:
d = 3.3 m.
Explanation:
If the electric field created by a charge distribution on one of the plates is constant, the work done by the field on a positive test charge, it will be equal to the electrostatic force (which is constant) times the displacement produced by this force (which has the same direction as the field) , as follows:
W = F*d = q*E*d
As the potential is the work per unit charge, we can find the potential difference (assuming that the zero potential reference is at infinity) as follows:
V = E*d
Replacing V= 15.0*10³ V, and E= 4.5*10³ V/m, we can solve for d, as follows:
[tex]d= \frac{V}{E} =\frac{15.0e3V}{4.50e3V/m} =3.3 m.[/tex]
