Question

A wire of iength I carries a current along the x-axis. A magnetic field B=B_0(hatj+hatk) exists in the space. Find the magnitude of the magnetic force acting on the wire.

Answer 1

magnitude of magnetic force acting on the wire is $\sqrt{2}B_0il$

given, A wire of length l carries a current i along the x-axis. A magnetic field $B=B_0(\hat{j}+\hat{k})$ exists in the space.

we have to find the magnetic force acting on the wire.

magnetic force, F = $i(\vec l\times\vec B)$

= i$(l)\hat i \times B_0(\hat{j}+\hat{k})$

=$B_0il(\hat{-j}+\hat{k})$

magnitude of magnetic force , |F| = √2$B_0il$

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