Question

two equal point charges Q is equal to under root 2 microcoulomb are placed at each of the two opposite corners of a square and equal point charges q at each of the other two corners what must be the value of q so that the resultant force on Q is zero​

Answer 1

Answer:

- q/2√2

Explanation:

Given Two equal point charges Q is equal to under root 2 microcoulomb are placed at each of the two opposite corners of a square and equal point charges q at each of the other two corners what must be the value of q so that the resultant force on Q is zero​

We need to know each side of square is of length a

So distance of charge Q from opposite charge is PR

= √b^2 + b^2 = √2b

Charges at Q and S should be negative if resultant force on charge placed at P and R is zero.

So forces act on charge Q at point R.

So force will be Fs = Fp cos 45 and Fq = Fp sin 45

1/4πεo x -qQ/QR^2 = 1/4πεo x QQ/PR^2 cos 45

 - q/b^2 = Q/(√2 b)^2 x 1/√2

 -q/b^2 = Q/2√2 b^2

  q = - Q/2√2