In a demonstration, a 4.00 cm2 square coil with 10 000 turns enters a larger square region with a uniform 1.50 t magnetic field at a speed of 100 m/s. the plane of the coil is perpendicular to the field lines. if the breakdown voltage of air is 4 000 v/cm on that day, the largest gap you can have between the two wires connected to the ends of the coil and still get a spark is:

Explanation:

It is given that,

Area of square coil,

Side of the square, L = 0.02 m

Number of turns, N = 10000

Uniform magnetic field, B = 1.5 T

Speed, v = 100 m/s

An emf is induced in the coil which is given by :

E = 30000 V

Breakdown voltage of air,

Let d is the gap between the two wires connected to the ends of the coil and still get a spark. So,

Electric field,

d = 0.075 m

Hence, this is the required solution.

1/0.14nm = 10^10/1.4 a lot

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