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Problem 10: A coil of area A = 0.65 m 2 is rotating with angular speed ? = 490 r

ID: 1272462 • Letter: P

Question

Problem 10: A coil of area A = 0.65 m2 is rotating with angular speed ? = 490 rad/s with the axis of rotation perpendicular to a B = 0.25 T magnetic field. The coil has N= 550 turns.

Randomized Variables

A = 0.65 m2
? = 490 rad/s
B = 0.25 T
N = 550 turns

Problem 10: A coil of area A = 0.65 m2 is rotating with angular speed ? = 490 rad/s with the axis of rotation perpendicular to a B = 0.25 T magnetic field. The coil has N= 550 turns.

Randomized Variables

A = 0.65 m2
? = 490 rad/s
B = 0.25 T
N = 550 turns

Part (a) Express the maximum emf induced in the loop, ?0, in terms of A, ?, B, and N.

Part (b) Calculate the numerical value of ?0 in V.

Explanation / Answer

induced emf is defiend as the rate of change of magnetic flux

in mathematical form,

induced emf e0 = NABW

where A = area

N = no. of tunrs

W is angular frequecny

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e0 = 550* 0.65*0.25*490

e0 = 43793.75 V