How Do You Calculate the Change in Magnetic Field in a Coil?

AI Thread Summary
To calculate the change in magnetic field in a coil, use the relationship between induced emf and magnetic flux. The average induced emf of 2.0 V in a coil with 110 turns suggests that the change in magnetic flux is 110 times the induced voltage per turn. The relevant equation is derived from Faraday's law of electromagnetic induction, which states that the induced emf is proportional to the rate of change of magnetic flux. The magnetic field is perpendicular to the coil, and the dimensions of the coil (0.040 m by 0.080 m) are essential for calculating the area. Understanding these principles allows for accurate calculations of the change in magnetic field.
tj03
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I have no idea where to stat on this question.

A magnetic field is perpendicular to a 0.040 m 0.080 m rectangular coil of wire that has 110 turns. In a time of 0.040 s, an average emf of magnitude 2.0 V is induced in the coil. What is the magnitude of the change in the magnetic field?

Can anyone help me out?
 
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What equation relates the change in magnetic flux to the voltage induced in a single turn of wire? The answer is just 110 times that, since the closed loop integral can follow the path of the 110 spiralling turns, and then return back down to connect to the start of the coil.

Remember, a current in a wire causes a magnetic field (see Biot-Savart), and a changing magnetic field/flux through a loop causes an induced emf or voltage (who's law?).
 
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