Question

A circular conducting loop of radius 31.0 cm is located in a region of homogeneous magnetic field of magnitude 0.100 T pointing perpendicular to the plane of the loop. The loop is connected in series with a resistor of 211 Ω. The magnetic field is now increased at a constant rate by a factor of 2.80 in 17.0s.
1.) Calculate the magnitude of the induced emf in the loop while the magnetic field is increasing.

2.) Calculate the magnitude of the current induced in the loop while the field is increasing.

3.) With the magnetic field held constant at its new value of 0.28 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 3.90 s.

Please provide answers in proper units.

Answer 1

magnetic field increase by a factor of 2.8 in 17 s

so,

so induced emf by faraday's law

A is area of loop

so puttting value here we get

2) induced current is given by

R is resistance by putting values we get.

3)

so induced emf

so putting values we get,

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