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Magnetism: A loop of 500 turns is placed in a magnetic field that follows an equation

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See attached file for proper format of formulas.

A loop of 500 turns is placed in a magnetic field that follows the equation:
(See attachment)

The radius of the loop is 0.75 m.

a) What is the relation of the induced emf in that loop?
b) What is the induced emf of the loop at 2 sec?
c) If the wire has a resistance of 0.01 Ohms per loop, what is the current induced through the loop?

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The solution shows all the formulas used in calculating the answers. A loop of 500 placed in a magnetic field that follows the equation is determined.

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