A loop, made of straight edges has six corners at A (O, O, O), B (L, O, O) C (L, L, O), D (O, L, O) E (O, L, L) and F (O, O, L).
A magnetic field is present in the region. The flux passing through the loop ABCDEFA (in that order) is

Question

A loop, made of straight edges has six corners at A (O, O, O), B (L, O, O) C (L, L, O), D (O, L, O) E (O, L, L) and F (O, O, L).
A magnetic field is present in the region. The flux passing through the loop ABCDEFA (in that order) is

Philoid · Accepted Answer

Let’s consider the loop in two planes shown in above figure. Now look into plane ABCDA which is x-y plane so its area vector will be along z axis and for DEFAD plane, area vector will be along x axis, Assume

₁ &

₂ are the area vectors for above planes. So let’s find the area

&

therefore

.

Given that also we know that flux is so putting B & A into flux equation

As we know that cross product of same unit vector is 1 and rest of all are zero because î,ĵ, k are all perpendicular to each other i.e.

Therefore, c is the correct answer.

A loop, made of straight edges has six corners at A (O, O, O), B (L, O, O) C (L, L, O), D (O, L, O) E (O, L, L) and F (O, O, L).A magnetic field is present in the region. The flux passing through the loop ABCDEFA (in that order) is

A loop, made of straight edges has six corners at A (O, O, O), B (L, O, O) C (L, L, O), D (O, L, O) E (O, L, L) and F (O, O, L).
A magnetic field is present in the region. The flux passing through the loop ABCDEFA (in that order) is