24. A uniform magnetic field is perpendicular to the plane of a single-turn circular coil. The magnitude of the field is changing, so that an emf of 0.80 V and a current of 3.2 A are induced in the coil. The wire is then re-formed into a single-turn square coil, which is used in the same magnetic field (again perpendicular to the plane of the coil and with a magnitude changing at the same rate). What emf and current are induced in the square coil?

N = 1 single loop

similarly

From the first one we can solve for

So

For Current we can use

Solve for R

So for the square

First find emf,

Need Areas for same wire, for circle

Circumference is

Outside of the square then

So a side is

So the area of the square is

Emf is

Current is

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