Question

2. Four charges 2C, - 3C, -4C and 5C respectively
are placed at the four corners of a square. Which
of the following statements is true for the point of
intersection of the diagonals ?
(1) E = 0, V = 0
(3) E = 0, V ×0
(2) E ×0, V = 0
(4) E ×0, V ×0
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Answer 1

Answer:

Since the two charges are opposite, in between them there will be a point where the potential is zero

Let the point be at distance a from x=0.

We know thatV=4πϵ0r1 where r is the distance from the charge and the point. The total potential will be the sum of the two potentials.

From the conditions of the problem, we have

4πϵ0a2−4πϵ0(6−a)1=0

here we get a=4

Also, there will be a point on the right side of the -1C charge where potential = 0. Let that point be at a distance b from x=0.

From the conditions of the problem, we have

4πϵ0b2−4πϵ0(b−6)1=0

Here we get b=12

Answer 2

Answer:

E=0 V=0 is a corner where a charges are flow