What is the magnitude of the induced current in the coil while the field is chan

Question

What is the magnitude of the induced current in the coil while the field is changing? I=A I=A Example 23.1 One Way to Induce an emf in a Coil ProblemA coil is wrapped with192turns of wire on the perimeter of a square frame with sides of 18 cm. Each turn has the same area, equal to that of the frame, and the total resistance of the coil is 2.0?. A magnetic field is perpendicular to the plane of the coil and has the same magnitude at all points within the area of the coil at any time. If the field magnitude changes at a constant rate from 0 to 0.50 T in a time of0.74s, find the magnitude of the induced emf in the coil while the field is changing. StrategyUse Equation 23.3.
Solution Because the field is uniform across the area of the coil and perpendicular to the turns of wire, the magnetic flux at any time is simply the product of the magnitude of the field and the area of the turns, and Equation 23.3 becomes the following. Because the magnetic field changes at a constant rate, the derivative of the field with respect to time is equal to the ratio of the change in field to the time interval during which that change occurs. ||V


What is the magnitude of the induced current in the coil while the field is changing? I=A

Explanation / Answer

As the emf Induced = 4.20 V is Correct

Therefore Induced Current = EMFinduced/Resistance

= 4.20/2

= 2.10 A

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