An infinitely long string uniformly charged with a linear charge density λ1 and a segment of length uniformly charged with linear charge density λ2 lie in a plane at right angles to each other and are separated by a distance r0 as shown in figure. The force with which these two interact is λ1λ24πϵ0ln(x), then find the value of x , if l=r0.

An infinitely long string uniformly charged with a linear charge densi

1.	An infinitely long string uniformly charged with a linear charge density λ1 and a segment of length uniformly charged with linear charge density λ2 lie in a plane at right angles to each other and are separated by a distance r0 as shown in figure. The force with which these two interact is λ1λ24πϵ0ln(x), then find the value of x , if l=r0.
Answer» An infinitely long string uniformly charged with a linear charge density $λ_{1}$ and a segment of length uniformly charged with linear charge density $λ_{2}$ lie in a plane at right angles to each other and are separated by a distance $r_{0}$ as shown in figure. The force with which these two interact is $\frac{λ_{1} λ_{2}}{4 π ϵ_{0}} ln (x)$ , then find the value of $x$ , if $l = r_{0}$ .

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