Magnetic field in a region is equal to B. A loop of resistance R and radius r is lying in the field with the plane perpendicular to the field if the loop is turned by 180 degree. Find the charge which flows through a given cross section of the loop

Dear Student,

Please find below the solution to the asked query:

The emf generated by in the loop due to magnetic field is ε=-dϕdt=-ddtBAcosωt=BAωsinωt
Now if r is the radius of the loop then area is given by A=πr2
If I is the current through the loop we, then we have I=εR=Bπr2ωcosωtR
So total charge flown through the circuit is given by 
Here we are considering that the time taken to rotate 180 degree is T. Now we have
Using above value we get

Hope this information will clear your doubts about this topic.

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