An electric generator contains a coil of 120 turns of wire, each forming a recta

Question

An electric generator contains a coil of 120 turns of wire, each forming a rectangular loop 45.0 cm by 35.0 cm. The coil is placed entirely in a uniform magnetic field with magnitude B = 3.50 T and with B vector initially perpendicular to the coil's plane. What is the maximum value of the emf produced when the coil is spun at 1250 rev/min about an axis perpendicular to B vector? In the figure below, a stiff wire bent into a semicircle of radius a is rotated at constant frequency f in a uniform magnetic field B. (Use any variable or symbol stated above as necessary. All quantities are in SI units.)

Explanation / Answer

Given Data

Number of truns N = 120

Area A = 45 cm x 35 cm

            = 1575 cm ^2

           = 0.1575 m ^2

Magnetic field B = 3.5 T

Angular speed = 1250 rev / min

                           = 1250 x 2 rad / 60 s

                           = 130.899 rad / s

Solution :-

Maximum emf E = NBA

                        = 120*4.5*0.1575*130.899

                        = 11133 volt

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