How to Calculate Time Dependent Magnetic Field with Faraday's Law

AI Thread Summary
To calculate a time-dependent magnetic field using Faraday's Law, it's essential to apply the equation ∇ x E = -∂B/∂t, which relates electric fields to changing magnetic fields. Alternatively, computing the rate of change of magnetic flux (dΦ/dt) over the specified area can provide a more straightforward solution. The initial approach using the integral of B.dL is not suitable for this problem. The correct answer for the current is 10A, but it requires understanding the relationship between electric and magnetic fields over time. Mastering these concepts is crucial for solving similar problems effectively.
annastewert
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Homework Statement


See attached photo. It has question and answers.

Homework Equations


Maybe integral of B.dL=Mo i ? I'm not sure

The Attempt at a Solution


I tried using the above equation and solved for i but it gives i with respect to time and the answer is 10A. I'm not sure how to get an answer without t.
 
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Sorry I forgot the picture
 

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Y ou're not thinking of the right law.
Think Maxwell, specifically ∇ x E = -∂B/∂t. Then go to Stokes.

EDIT: Or Faraday: compute the whole dΦ/dt for your area. I guess that is more straight-forward.
(You can do this in your head!)
 
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