A square loop carrying current I lies in the xy-plane in a non-uniform magnetic field B⃗=(B₀z/L)ĵ+(B₀y/L)k̂, where B₀>0. Which statements are correct?

Question

G1 Physics · Accepted Answer

Use dF⃗=I dℓ⃗×B⃗ and integrate each straight side with the local B(y,z). Direct evaluation gives force on side (0,0)→(0,L)=(B₀IL/2)î, force on side (0,L)→(L,L)=-B₀ILĵ, and the bottom side force is zero. The net force is not zero. Hence A,B,D.

A square loop carrying current I lies in the xy-plane in a non-uniform magnetic field B⃗=(B₀z/L)ĵ+(B₀y/L)k̂, where B₀&gt;0. Which statements are correct?

A square loop carrying current I lies in the xy-plane in a non-uniform magnetic field B⃗=(B₀z/L)ĵ+(B₀y/L)k̂, where B₀>0. Which statements are correct?