A strong magnet is placed under a circular ring with a radius of R flowing current i as shown below. Obtain the magnitude and orientation of the magnetic force acting on the ring when the magnetic field strength vector at the ring position forms an angle of θ from the vertical position.
A strong magnet is placed under a circular ring with a radius of R flowing current i as shown below. Obtain the magnitude and orientation of the magnetic force acting on the ring when the magnetic field strength vector at the ring position forms an angle of θ from the vertical position.
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Question
A strong magnet is placed under a circular ring with a radius of R flowing current i as shown below. Obtain the magnitude and orientation of the magnetic force acting on the ring when the magnetic field strength vector at the ring position forms an angle of θ from the vertical position.
Expert Solution
Step 1
Given that, Shape of the Conductor is a circular coil
Magnetic field B at the ring position forms an angle of θ from the vertical position.
Angle that gives magnetic force is θ
Circumference/ Length of the coil,
Step 2
The magnetic force on each part of the ring is
Taking y component from sketch diagram,
Whereas will be zero because in symmetric ring components will be canceled out by the opposite portion.
In that case,
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