What is the induced emf in a coil with changing magnetic field?

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SUMMARY

The induced electromotive force (emf) in a coil with 247 turns of wire, wrapped around a square frame with sides of 27.3 cm, is calculated using the formula E = -N (flux/t). With a uniform magnetic field changing from 0 to 1.11 Wb/m² over 0.822 seconds, the induced emf is determined to be approximately 22.395 V. The total resistance of the coil is 2.53 ohms, and the area of the coil is 745.29 cm², which is converted to 0.074529 Wb for the flux calculation.

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Homework Statement


A coil is wrapped with 247 turns of wire on the perimeter of a square frame of sides 27.3 cm. Each turn has the same area, equal to that of the frame, and the total resistance of the coil is 2.53. A uniform magnetic field is turnedon perpendicular to the plane of the coil. If the field changes linearly from 0 to 1.11Wb/m2 in a time of 0.822 s, find the magnitude of the induced emf in the coil while the field is changing.
Answer in units of V.​

Homework Equations


flux = B*a*cos(theta)
E = -N (flux/t)

The Attempt at a Solution


flux = (1.11)(745.29)(1/10000) = .074529
E = (247)(.074529)/(.822) = 22.395
Just not sure if it is right or not
 
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