A circular loop of wire of resistance R = 0.500 ? and radius r = 7.80 cm is in a

Question

A circular loop of wire of resistance R = 0.500 ? and radius r = 7.80 cm is in a uniform magnetic field directed out of the page as in the figure below.

(a) If a clockwise current of I = 1.70 mA is induced in the loop is the magnetic field increasing or decreasing in time?

(b) Find the rate at which the field is changing with time.
mT/s

A circular loop of wire of resistance R = 0.500 ? and radius r = 7.80 cm is in a uniform magnetic field directed out of the page as in the figure below. If a clockwise current of I = 1.70 mA is induced in the loop is the magnetic field increasing or decreasing in time? Find the rate at which the field is changing with time.

Explanation / Answer

a)the magnetic field will be decreasing as the field generated by the current is inwards according to ampher's right hand rule.

b) The relation of EMF and magnetic flux is V=A(B/T) where V is EMF A is area and B/T is the rate of change for the magnetic field. But EMF also equals current times resistance V=IR=A(B/T).

B/T = 44.4534mT/s

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