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Hi there.
00:01
So for this problem, we are told that assuming that all other factors remain constant, what will happen to this end? so we are given some options.
00:13
So for option a, if the number of coils in the circuit is doubled.
00:18
So we'll have an initial number of of a number of coils, and then we increase that to two times n.
00:30
So we have double the number.
00:32
Of coils.
00:34
Now, first we remember the nph induced that is the derivative of the magnetic flops with respect to time.
00:46
Now, we note that the magnetic flops is defined as, oh, sorry, i forgot in here, and that is this times the number of coils.
01:01
Now, with that said, well, as you can see in here, if we double the number of coils, we just double the end.
01:15
Because we will have then, we can pass from this to two times end, the same in here, and then this will correspond to two times the same in here.
01:28
And then this will correspond to two times the initial amp.
01:33
So with that set, we just double the nph.
01:41
Now, for part b, we are asked about the magnetic field through the coil double.
01:50
Now, for that we need the definition of the magnetic flops, which is the magnetic field times the area, times the cosine of the angle between these two quantities.
02:04
Now in this case, we're going to assume that the angle between these two is just simply one.
02:21
So we'll have just simply this perpendicular in the parallel case.
02:28
And then if we substitute this into the previous expression for the nph, we will have that this is the number of coils, times the derivative of this product right here.
02:47
Now, what we are going to do now is to double the magnetic field.
02:53
Then if we increase this, we can substitute that in here.
02:58
Well, we can pass from this to this expression right here.
03:03
And you know that you can take out a constant out of derivative.
03:07
So we will have two times and times this derivative.
03:12
Here.
03:14
So with that set, as you can see in here, the nth double again.
03:22
Now for part c of this problem, we are told now that the diameter of the coil is double...