E&M Physics. Potential Difference

AI Thread Summary
To find the magnitude of the potential difference between points a and b in the given scenario, apply Faraday's law of electromagnetic induction, which states that the induced electromotive force (emf) in a loop is equal to the negative rate of change of magnetic flux through the loop. The magnetic flux can be calculated using the formula Φ = B * A, where A is the area of the loop. Given that the magnetic field B varies with time as B = gt, differentiate the magnetic flux to find the induced emf. The potential difference can then be calculated using Ohm's law, V = IR, where I is the current through the resistor. Understanding these principles will help solve the homework problem effectively.
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Hello, I am in electricity and magnetism. I have a question about a homework problem.

A 1000-turn loop (radius = 0.034 m) of wire is connected to a (20 ohm) resistor as shown in the figure. A magnetic field is directed perpendicular to the plane of the loop. The field points into the paper and has a magnitude that varies in time as B=gt, where g=0.25 T/s. Neglect the resistance of the wire.

What is the magnitude of the potential difference between points a and b?

I fully understand that you guys cannot give me the answer. I would just like an explanation of how to find this, or an equation. I have already looked through my book to no avail. THANKS!
 
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Use Faraday's law.
 
What figure? Where is a and b?
 
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