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Please show all work and specify the correct answer at the bottom! Wire is wound

ID: 1454460 • Letter: P

Question

Please show all work and specify the correct answer at the bottom!

Wire is wound on a square frame, 30 cm by 30 cm, to form a coil of 7 turns. The frame is mounted on a horizontal shaft through its center (perpendicular to the plane of the diagram), as shown in the figure. The coil is in clockwise rotation, with a period of 0.060 s. A uniform, horizontal, magnetic field of magnitude 0.40 T is present. At a given instant, the plane of the coil forms a 60° angle with the horizontal, as shown. At that instant, what is the magnitude of the emf induced in the coil?

2.1 V 23 V 13 V 3.6 V 26 V

Explanation / Answer

given data

givendata
A=30*30*10^-4 m^2
N=7
t=0.060s
B=0.40
angle =60deg

from lenze's law

induced emf E = -NBA cos(theta)/time

E=-7*0.40*30*30*10^-4*cos(60)/0.06 = 2.1 V

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