- #1

mrcotton

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## Homework Statement

Which one of the following statements about electric field strength and electric potential is

incorrect?

A Electric potential is a scalar quantity.

B Electric field strength is a vector quantity.

C Electric potential is zero whenever the electric field strength is zero.

D The potential gradient is proportional to the electric field strength.

## Homework Equations

E=K Q/(R^2)

V=K Q/R

K=1/(4∏ε)

## The Attempt at a Solution

The answer is C

If for example you had two positive charges of 3 coulombs a distance 4m apart.

The electrostatic field at the midpoint would be zero. Effectively a positive charge at this point would be push by an equal force in both directions.

However the Electric potential V would be 2*(k*(3/4)

So you can have a zero E with a non zero V

Is this logic ok

Thanks for any help