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28102 a flat coil of wire consisting of 480 turns, each with an area of 70 cm, is positioned perpendicularly to a uniform magnetic field that increases its magnitude at a constant rate from -0.8 t to -0.75 t in 7.7 s. if the coil has a total resistance of 86 , what is the magnitude of the induced current when the field is -0.775 t?

Sagot :

The magnitude of current when a flat coil of wire consisting of 480 turns each with an  area of 70 cm, is positioned perpendicularly to a uniform magnetic field that increases its magnitude at a constant rate from -0.8 t to -0.75 t in 7.7 s. if the coil has a total resistance of 86  is 0.025 A.

Given that magnetic flux is expressed as = NBA in this situation,

we know that N = number of turns and B = magnetic field.

We now know that the rate of change in magnetic flux will cause EMF in the coil, hence A = area of the loop.

EMF = NBA db/dt

Now, enter all variables to calculate the induced

EMF: (480)(70 * 10-2). [(-0.75) -(-0.8)]

According to Ohm's rule, current equals EMF divided by resistance, hence I = 2.18/86

I = 0.025 A

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