Question

An infinitely long string uniformly charged with a linear charged density lambda1 and a segment of length l uniformly charged with linear charge density lambda2 lie in a plane at right angles to each other and separated by a distance Ro. The force with which these two interact is. (l=Ro)

Answer 1

Final Answer :
$2k \alpha \beta ln( \frac{r + l}{r} )$

where α,β are linear charge densities of Infinite wire and segment of length l respectively.


Force is attractive if product of charge densities is negative.
Repulsive if Product is positive.

Understanging:
1) Electrostatics

For Calculation see pic