Calculate Magnetic Field through Angular Velocity

AI Thread Summary
To calculate the magnetic field B at the pivot of a rotating charged rod, consider the rod as composed of concentric current loops. Each loop can be analyzed using the relationship between current, charge, and angular velocity. The total current can be derived from the charge distribution and the angular speed of the rod. The magnetic field at the pivot can then be expressed in terms of the rod's length L, total charge q, and angular velocity w. Understanding the interplay between charge distribution and rotation is key to solving this problem.
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Homework Statement



A thin plastic rod of length L with total charge +q uniformly distributed along only the outer half-length is shown in Fig. 1. The rod is rotated at a constant angular speed w rad/sec about, and perpendicular to, the z-axis. Find the magnetic field B at the pivot, perpendicular to the plane of rotation in terms of L, q and w. (Hint: View the situation as a series of concentric current loops, each with thickness dl.)

RXub3bb.jpg


Homework Equations


No clue which equations will help with angular velocity.


The Attempt at a Solution


I don't know how to go about this problem

Thanks for any help.
 
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Do you know a formula that uses velocity?
 

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