Question

If E = 0 everywhere throughout a region of space, what do we know is true about the potential at points in that region?

 

 

Answer 1

The electric field in terms of potential drop can be expressed as,

E = -dV/dr

 

Here, Ex is the electric field, V is the electric potential and r is the position where electric field is defined.

 

The electric field is zero everywhere throughout a region of space. That is

Hence, dV/dr = 0

 

On integrating with respect to position,

V(r) = constant

Thus, it can be said that the potential drop will be a constant value irrespective of the position in that region.

Thus, it can be said that the potential drop will be a constant value irrespective of the position in that region.