A 144-? light bulb is connected to a conducting wire that is wrapped into the sh

Question

A 144-? light bulb is connected to a conducting wire that is wrapped into the shape of a square with side length of 83.0 cm. This square loop is rotated within a uniform magnetic field of 454 mT. The loop rotates from a position where its area vector makes an angle of 30° with the field to a position where the area vector is parallel to the field in 56.3 ms. What is the induced current through the light bulb? A 144-? light bulb is connected to a conducting wire that is wrapped into the shape of a square with side length of 83.0 cm. This square loop is rotated within a uniform magnetic field of 454 mT. The loop rotates from a position where its area vector makes an angle of 30° with the field to a position where the area vector is parallel to the field in 56.3 ms. What is the induced current through the light bulb? A. 107 A B. 16.4 µA C. 5.17 mA D. 744 mA

Explanation / Answer

magneic flux = B*A*costheta

B = magnetic field

A = area of loop = L^2

L = side of square = 83 cm = 0.83 m

theta = angle between areal vector and magnetic field

induced emf = rate of change in flux

emf , e = B*A*(costheta2 - costheta1)/t

induced current I = e/R = B*A*(costheta2 - costheta1)/(Rt)

induced current I = 454*10^-3*0.83^2*(cos0 - cos30)/(56.3*10^-3*144) = 5.17 mA

OPTION ( C )

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