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

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The problem involves calculating the induced electromotive force (emf) in a coil with 247 turns, a square frame of 27.3 cm sides, and a total resistance of 2.53 ohms. A uniform magnetic field changes from 0 to 1.11 Wb/m² over 0.822 seconds, leading to an induced emf. The magnetic flux is calculated as 0.074529 Wb, and the induced emf is found to be approximately 22.395 V. The calculations appear correct, confirming the induced emf while the magnetic field changes. This demonstrates the application of Faraday's law of electromagnetic induction.
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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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