A square of side 2 m lies in the xy-plane. The magnetic field is B⃗=B₀(2î+3ĵ+4k̂) T, where B₀ is constant. If the magnetic flux through the square is nB₀ Wb, find n.
Physics · Electromagnetic Induction
JEE Advanced

Question

A square of side 2 m lies in the xy-plane. The magnetic field is B⃗=B₀(2î+3ĵ+4k̂) T, where B₀ is constant. If the magnetic flux through the square is nB₀ Wb, find n.

G1 Physics · Accepted Answer

The area vector is along k̂ and has magnitude 4 m². Hence Φ=B⃗·A⃗=(4B₀)(4)=16B₀ Wb. Therefore n=16.