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How to find the maximum induced current for a diamond-shaped loop?

  • Thread starter NkaujHelp
  • Start date
1. Homework Statement
Find the total maximum induced current for the diamond-shaped metal loop that is moving at a speed of 10 m/s towards a uniform magnetic field of 0.8T. All four lengths equal 10 cm or 0.01 m.
upload_2016-11-7_20-7-54.png


2. Homework Equations
emf = -dΦB/dt
ΦB=∫B*dA
A = (1/2)bh

3. The Attempt at a Solution
I need more of explanations than getting help on getting the values. I am confused on the picture above and the induced current graphs both loops show. I don't understand why the induced current graph for the diamond shape is not the same as for the square loop one. Why would the induced current decrease when half of the diamond shape metal loop is halfway in the uniform magnetic field? I know that the magnetic flux for both loops increases as they move into the uniform magnetic field, but shouldn't the induced current graph for the square loop be the same one for the diamond shape or for any square shape rotated at any degrees? Even if you get to the halfway mark on the diamond shape, the induced current should be constant and not decreasing from there. Because the area of half of that diamond shape loop is the same as a half of the square shape loop. But then, the graph doesn't show the current decreasing once the square loop is halfway into the magnetic field.
 

TSny

Homework Helper
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When the right corner of the diamond has moved a distance x into the B-field, what is the flux through the diamond (assuming the diamond is less than halfway in)? Express the flux in terms of x and B.

Repeat for the square when it has moved a distance x into the field. Compare the two cases in terms of how the flux varies with x.
 
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