A loop of radius a and resistance R uniformly distributed over it is placed perpendicular to a magnetic field B as shown. A rod AB of negligible resistance starts rotating with angular speed w. At t=0, theta = 0. A conducting wire AC is connected as shown. If w = ∩ rad/sec, find the current through AC as a function of time . Assume 0 < t < 2 sec.
NOTE:- Here ∩ = pie
1nice sum dude
1st i think u can at least find the v differnece across the rotaing rod (i am assuming u can)
at time t the angle made will be wt
and the distance bc will be theta R (trigo)
now u hv to find the eq resistance the resistance of the part bc and the other part of are in parallel (think over it)
now reistance of each portion is propotional to there circmuference
i think u hv enough hints to solve the sums
if u cant solve the whole sum then post in my chatbox
19here the potential difference between the centre of the loop and any point on the circumference remains constant and is equal to 1/ Bωa2[/b] ...what changes is the effective resistance between the points !
...keeping these in mind, ans looks to be
i= ∩Ba3 /Rt
