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## A loop of wire with cross-sectional area 1 m2 is inserted into a uniform magnetic field with initial strength 1 T. The field is parallel to

Question

A loop of wire with cross-sectional area 1 m2 is inserted into a uniform magnetic field with initial strength 1 T. The field is parallel to the axis of the loop. The field begins to grow with time at a rate of 2 Teslas per hour. What is the magnitude of the induced EMF in the loop of wire

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Physics
6 months
2021-08-18T07:35:31+00:00
2021-08-18T07:35:31+00:00 1 Answers
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## Answers ( )

Answer:The magnitude of the EMF is 0.00055 volts

Explanation:The induced EMF is proportional to the change in magnetic flux based on Faraday’s law:

Since in our case there is only one loop of wire, then N=1 and we get:

We need to express the magnetic flux given the geometry of the problem;

where A is the area of the coil that remains unchanged with time, and B is the magnetic field that does change with time. Therefore the equation for the EMF becomes: