Magnetic effect of current

Question

A wire X of length 50 cm carrying a current of 2 A is placed parallel to a long wire Y of length 5 m. The wire Y carries a current of 3 A. The distance between two wires is 5 cm and currents flow in the same direction. The force acting on the wire Y is:

Answer 1

\(F_{XY} = F_{YX} = F\)

\(F = \frac{\mu_0I_2}{2\pi r}I_1(l)\)

\(= \frac{4\pi \times10^{-7}\times3\times 2\times [50 \times 10^{-2}] }{2\pi (5 \times 10^{-2})}\)

\(= 1.2 \times 10^{-5} N\)