Q.No.12.1: - The potential is constant throughout a given region of space. Is the electrical field zero or nonzero in this region? Explain.

Q.No.12.1: - The potential is constant throughout a given region of space. Is the electrical field zero or nonzero in this region? Explain.

Ans: - The electric field has a relation with change in electrical potential which is

                                                E   =   -ΔV/Δr

In this case ΔV is the change in electrical potential and if the change in potential is zero then E will be zero and ΔV will be zero only when there is no change in electrical potential. This is given in question that electrical potential is constant throughout the given region of space hence, E = 0 when ΔV=0

Mathematically,

                                  E   =   -ΔV/Δr   =    -0/Δr    =   0