Please give me the formula with the correct answers. Thank you. A circular loop

Question

Please give me the formula with the correct answers. Thank you.

A circular loop of wire of resistance R = 0.500 omega and radius r = 9.50 cm is in a uniform magnetic field directed out of the page as in the figure below. (a) If a clockwise current of I = 2.60 mA is induced in the loop is the magnetic field increasing or decreasing in time? increasing decreasing Incorrect: Your answer is incorrect. (b) Find the rate at which the field is changing with time. Incorrect: Your answer is incorrect. mT/s

Explanation / Answer

As the induced current is clockwise... so the moagnetic field due to induced current will be directed in the page...

so... magnetic field out the page will be opposite...

so.. a) The magnetic fiels is increasing with time

b) induced voltage = current * R = 2.6 * 0.5 / 1000 = 0.0013 V

magnetic flux = magnetic field * area = B * pi * 0.095^2
induced voltage = rate of change of magnetic flux ...

so.. 0.0013 = pi * 0.095^2 * rate of change of magnetic field

so .. rate of change in magnetic field = 0.04585 T / s = 45.85 mT/s

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