Question
Medium
Solving time: 4 mins
A line charge λ per unit length is lodged uniformly onto the rim of a wheel of mass M and radius R. The wheel has light non-conducting spokes and is free to rotate without friction about its axis (Fig. 6.22). A uniform magnetic field extends over a circular region within the rim. It is given by, B = – B0 k (r ≤ a; a < R) = 0 (otherwise) What is the angular velocity of the wheel after the field is suddenly switched off?
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Text solutionVerified
Line charge per unit length,
at distance r, the magnetic force is balanced by the centripetal force.
So,
also the angular velocity,
So for , we get:
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Question Text | A line charge λ per unit length is lodged uniformly onto the rim of a wheel of mass M and radius R. The wheel has light non-conducting spokes and is free to rotate without friction about its axis (Fig. 6.22). A uniform magnetic field extends over a circular region within the rim. It is given by, B = – B0 k (r ≤ a; a < R) = 0 (otherwise) What is the angular velocity of the wheel after the field is suddenly switched off? |
Updated On | Apr 27, 2023 |
Topic | Electromagnetic Induction |
Subject | Physics |
Class | Class 12 |
Answer Type | Text solution:1 Video solution: 2 |
Upvotes | 214 |
Avg. Video Duration | 8 min |