A conducting rod PQ of mass M rotates without friction on a horizontal plane about Ο on circular rails of diameter ' λ '. The centre O and the periphery are connected by resistance R. The system is located in a uniform magnetic field perpendicular to the plane of the loop. At t = 0, PQ starts rotating clockwise with angular velocity ω 0 . Neglect the resistance of the rails and rod, as well as self inductance.
(i) Magnitude of current as a function of time Where α = 
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
Ans.
(i)
Sol. Induced emf across OP = 
= 
(i) current = 
… (i)
Torque on the rod = 2 
= 
…(ii)
∴ 
[substituting τ = I α ]
– 
Solving this eq. & eq. (i)
i = 
e – α t
(ii)
Sol. θ = 
(iii)
Sol. Heat generated = 
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems