Conducive Conductor
A conductor of length carrying a current was placed across a solenoid (magnetic field inside the solenoid is ), such that it makes an angle of 30 degrees with the axis of the solenoid experiences a force .
If the orientation of the conductor is changed, so that it now makes an angle of 60 degree with the axis of the solenoid, then what is the force experienced by it is given by?
Assume is much much larger than the breadth of the solenoid.
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1 solution
The force experienced by a current carrying conductor in a magnetic field is given by F=Bil sin (theta), where B is the magnetic field intensity, i is the current through the conductor, l is the length of the conductor inside the magnetic field, and theta is the angle betn the magnetic field and the direction of current in the conductor. If the length of the conductor is very large as compared to the breadth of the solenoid as is stated in the assumption to this problem, then on changing the orientation of the conductor both l and theta changes in such a fashion that the factor l sin (theta) remains constant (which is the breadth of the solenoid here) (think!!!). So, all B, i, and l sin(theta) remaining constant, F is also constant.