Calculating Induced Voltage in a Rotating Rectangular Loop

In summary, the induced voltage in the rotating rectangular loop with 50 turns, rotating at 130 r/s in a magnetic field of .06 in the normal direction, can be determined using the formula B dot ds, where ds represents the sides of the rectangle and coswt in the normal direction. The derivative of this formula results in an answer of 46.8 sin 130 t, which is confirmed by the fact that the magnetic field is unchanging and the voltage should therefore be time-varying.
  • #1
formulajoe
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A 40cmX30cm rectangular loop rotates at 130 r/s in a magnetic field of .06 in the direction normal to the axis of rotation. If the loop has 50 turns, determine the induced voltage in the loop.

Heres what I did. I used B dot ds. I had my ds being the sides of the rectangle and coswt in the normal direction. I then took the derivative of that. So I multiplied 130*.4*.3*50*.06. The 50 comes from the number of turns.
I ended up with an answer of 46.8 sin 130 t. The book has an answer of -54. Since the magnetic field is unchanging, the voltage has to be time-varying.
 
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  • #2
can somebody confirm my answer?
 
  • #3
Looks right, and yes, the voltage should definitely oscillate.
 

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