What is the magnitude of the potential difference between points a and b?A circu

Question

What is the magnitude of the potential difference between points a and b?A circular conducting loop of radius 25.0 cm is located in a region of homogeneous magnetic field of magnitude 0.300 T pointing perpendicular to the plane of the loop. The loop is connected in series with a resistor of 267 Ohm. The magnetic field is now increased at a constant rate by a factor of 2.40 in 29.0 s. Calculate the magnitude of the induced emf in the loop while the magnetic field is increasing.

In the previous question, with the magnetic field held constant at its new value of 0.72 T, calculate the magnitude of the average induced voltage in the loop while it is pulled horizontally out of the magnetic field region during a time interval of 1.70 s.

Explanation / Answer

induced emf is defiend as the rate of change of magnetic flux

in mathematical form,

induced emf e = NAdB/dt or NABW

where A = area

N = no. of tunrs

W = angular frequency

dB/dt = rate of change of amgnetic flux

induced emf e = 1 * 3.14 * 0.25* 0.25 * 2.4/29

emf e = 16.24 mV
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part B :

induced emf e = 1* 3.14 * 0.25* 0.25 * 0.72/(1.7)

emf e = 0.0831 Volts

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