00:01
Hello students, in this question we have given two currents.
00:06
So let's take i1 is given as 5i and i2 is given as 19i.
00:13
Now and we need to find the ratio of the magnetic field created by loop 1 of v1 and loop 2 for v2 at the center of this first loop that is from point c.
00:28
So basically we need to find v1 upon v2 as a ratio.
00:34
Now to find ratio first the magnetic field point c due to loop 1.
00:50
So here v1 magnetic field will be equal to mu knot i upon 2r and that is towards left.
01:03
Now for magnetic field, magnetic field at point c due to loop 2 that's v2 magnetic field v2.
01:23
So we can write expression for this v2 is equal to mu knot i2 r2 r square divided by 2r square plus r square whole power 3 by 2 that is towards right.
01:46
Now this is the magnetic field on the axis of loop, axis of loop.
01:55
Now this can be written as further v2 will be equal to mu knot i2 r square divided by 2 into 2r square power 3 by 2.
02:10
Now for the solving this we can write magnetic field v2 so this will be equal to mu knot i2 r square upon 4 root 2 r cube...