What Factors Affect the Average Induced EMF in a Rotating Coil?

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To calculate the average induced EMF in a rotating coil, Faraday's law of electromagnetic induction is applied, which states that the induced EMF is proportional to the rate of change of magnetic flux through the coil. Given the coil's radius, magnetic field strength, and rotation time, the average induced EMF can be determined. Additionally, to find the average current flowing through the copper coil, the resistance must be calculated using the coil's diameter and resistivity. The discussion emphasizes the importance of showing work for clarity and troubleshooting. Understanding these principles is crucial for accurately solving the problem.
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A circular conducting coil with radius 2.61 cm is placed in a uniform magnetic field of 0.827 T with the plane of the coil perpendicular to the magnetic field. The coil is rotated 180° about the axis in 0.222 s. (a) What is the average induced emf in the coil during this rotation? (b) If the coil is made of copper (ρ = 1.67 times 10−8 Ω·m) with a diameter of 0.900 mm, what is the average current that flows through the coil during the rotation?



How would I start this problem?
I tried using Faraday's equation, but am getting the wrong answer
thanks
 
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Thread 'Correct statement about size of wire to produce larger extension'

Thread 'Correct statement about size of wire to produce larger extension'

The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...
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