00:01
Hi, here in this given problem, first of all this is the circular coil which is kept in a horizontal plane and it is free to rotate about its vertical axis.
00:27
So this is the coil and the magnetic field here.
00:32
This is b which is making an angle theta is equal to 60 degree with the vertical with the axis of the coil number of turns in the coil these are hundred diameter of the coil that is 5 .0 centimeters so its radius will be half of the diameter means 2 .5 centimeter.
01:13
Magnetic field is changing from the initial value 0 .50 tesla to the final value it is increasing to a value of 1 .50 tesla finally over a time interval of 0 .90 second.
01:33
So first of all magnetic flux we know.
01:41
That is given as the dot product of magnetic field vector with the area vector.
01:49
So here it will be b, a, cost, 60 degree, or we can say this is b into pi r squared into cost 60 degree.
02:04
So as per faraday's laws, of electromagnetic induction emf induced in this coil that will be given by epsilon is equal to this is the magnitude of emf induced epsilon is equal to n times of d phi d t or we can say this is n times of change of flux means phi 2 minus 5 1 over the given time interval t so, plugging in all the known values, this is n times of here, the magnetic field which is constant, sorry, magnet field is variable, area which is constant, pi r square, and cost 60 degree that is also constant that can be taken out leaving inside b2 minus b1 upon time...