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1. If the electric field is zero in a particular region of space, what does that

ID: 2273711 • Letter: 1

Question

1. If the electric field is zero in a particular region of space, what does that tell you about the electric potential

in that region? Is the potential zero, constant, or something else? Explain.


2. Will the electric field always be zero at any point where the electric potential is zero? Why or why not?


3. Will the electric potential always be zero at any point where the electric field is zero? Why or why not?


4. If the electric potential is zero in a particular region of space, what does that tell you about the electric potential?


5. If the electric field is zero in a particular region of space, what does that tell you about the electric field?



Please answer them with detailed explanations and examples, and also how #2 and #3 are different from #4 and #5.

Explanation / Answer

1. ) constant   

as we kowelectric filed E = -dV/dr                , where V = potentail

If E =0 , then    dV/dr = 0

                           V = constant


2. Will the electric field always be zero at any point where the electric potential is zero? Why or why not?

        No

       V = electric potentail = -integration[ E*dr ]   , where r = r1 to r2

       If V =0 , then   -integration[ E*dr ] =0

                                either E =0   or    integration[ E*dr ] = 0

                                                             g(r1) -g(r2) = 0


                                 

      

3.) Will the electric potential always be zero at any point where the electric field is zero? Why or why not?

          yes ,  

   V = electric potentail = -integration[ E*dr ]   , where r = r1 to r2

       If E =0 , then     V = -integration[ E*dr ] =0


     4)    spacce point is conncetd to ground.

5) Electric Flux passign through that space point is zero , hence surface is equipotential surface