shows a conducting loop abcdefa made of six segment ab, bc cd, de, ef and fa, each of length l. Each segment makes a right angle with the next so that abc is in the x-z plane, cda in the x-y plane and efa is in the y-z plane. A uniform magnetic field B exists along the x- axis. If the magnetic field changes at a rate (dB)/(dt), find the emf induced in the loop.

Explanation

As the magnetic field is along the x- axis, the flux through the loop is equal to the magnetic field y-z plane
This projectionj on the y-z plane will be aoef which has an area l^2
Thus, the flux is Phi = Bl^2
The induced emf is epsilon= (dB)/(dt) l^2