Production of electric current

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SUMMARY

The discussion centers on the conditions under which electric current is produced in a loop of wire within a magnetic field. It is established that an electric current is not produced when a loop of wire is stationary in a steady magnetic field (option b). Conversely, changing magnetic fields, whether through rotation of the wire or variation in field strength, will induce current. The relationship between magnetic flux and electric current is defined by the equation \(\phi = \vec{B}\cdot\vec{A} = BA\cos\theta\), emphasizing the importance of both movement and field changes.

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uwmphysics
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In which of the following situations is an electric current not produced?
a. a loop of wire rotates in a steady magnetic field
b. a loop of wire is stationary in a steady magnetic field
c. the magnetic field through the loop is increasing
d. the magnetic field through the loop is decreasing


Ok-I know that if you change hte magnetic field then the flux would change, and therefore produce an electric current, so I think its safe to say that c an d d are both wrong. But I have no clue how the wire's movement/lack of movement in a steady magnetic field would change things...can someone help me understand that?

thank you!
 
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uwmphysics said:
In which of the following situations is an electric current not produced?
a. a loop of wire rotates in a steady magnetic field
b. a loop of wire is stationary in a steady magnetic field
c. the magnetic field through the loop is increasing
d. the magnetic field through the loop is decreasingOk-I know that if you change hte magnetic field then the flux would change, and therefore produce an electric current, so I think its safe to say that c an d d are both wrong. But I have no clue how the wire's movement/lack of movement in a steady magnetic field would change things...can someone help me understand that?

thank you!
Remember, the flux is the dot product of B and A: \phi = \vec{B}\cdot\vec{A} = BAcos\theta

Does this change when the loop is stationary in a stationary field? Does it change when the loop rotates in a stationary B field (ie. the angle between B and A continually changes)?

AM
 
Suppose that the magnetic field is vertical upward.
Suppose you have a round loop in a horizontal plane.
Now rotate the loop along an axis which is horizontal.
What will happen to the flux of the magnetic field through the loop?
 

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