Five different charge configurations on the xy-plane using 2 or 4 point charges

Question

Five different charge configurations on the xy-plane using 2 or 4 point charges of equal magnitude having signs are indicated below. All the charges are the same distance from the origin. The electric potential infinity far from the origin is defined to be zero. In which configuration is the value of the electric field and the electric potential equal to zero? Explain

3. Five different charge configurations on the using point of The electric having signs are indicated below. All the charges are the same distance from the origin. potential infinitv far from the ori defined to be which configuration is the value of the electric zero. In field. and the electric potential equal to zero? Explain

Explanation / Answer

Here, for the electric potential to be zero

there must be equal number of positive and negative charges

in the case , a , b , c , e electric potential is zero

Now, for electric field

same sign charges must be on the same line to cancel the electric field due to each other

which is the case in d , e

the electric field is zero in cases d , e

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