**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**

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