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A constant magnetic field passes through a single rectangular loop whose dimensions are 0.393 m x 0.549 m. The magnetic field has a magnitude of 2.29 T and is inclined at an angle of 65.1° with respect to the normal to the plane of the loop. If the magnetic field decreases to zero in a time of 0.500 s, what is the magnitude of the average emf induced in the loop?

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Answer:

The average induced emf in the rectangular loop is 0.41V

Explanation:

We can resolve this problem through the expression for induced emf in the loop.

This expression is,

[tex]\epsilon = -\frac{d(BAcos \theta)}{dt}[/tex]

Where

[tex]\epsilon[/tex] is the electro magnetic field

B = Magnetic field

A= Area

dt = change in time.

We have all of this values, because the dimension of the object are enough to calculate the Area .

[tex]\epsilon = - \frac{[(0.393)(0.549)]cos(65.1)(-2.29)}{0.5}[/tex]

[tex]\epsilon = 0.41V[/tex]

The average induced emf in the rectangular loop is 0.41V

It is because there is a loop between state 1 and state 2. The given data corresponds from B1 to B2. The total change would be measured by (B2-B1), but B2 is zero. So you get (-B1)