00:01
And this question, you're giving two wires, which carry currents, i1 and i2 respectively.
00:06
And it's also given that the magnetic field at this point, c is zero, right? at this point c is zero.
00:17
So you're asked what is the value of i1 right here.
00:25
So the distance, the distance, the distance, c, a is a meter point between these wires, but c is not, right? c is actually distance half d over half to this wire, right? so, and you can see that the, because you see the current of this way going this way and the current on this way going this way, right? sorry, going up.
00:56
One is going down the screen up and look at the magnet field due to the the wire on the right, you know, the magnetic field where on this side, where, you know, the magnetic field lines will actually go into the plane, right, and come at this point to see, right, from this second wire.
01:14
Now you look at the magnetic field lines from this sky, and of course, opposite is going like this, going out of the plane, so they cast each other.
01:23
And you know that the magnetic field, b, produced by a current, is proportion of course to the current, but it's also inversely proportioned to the distance are, right? so in other words, at this point c, the total magnetic field, which actually is addition of this magnetophyt produced by y1, by current i1 and current i2, and that means produced by i1 is actually produced by i1 divided by the distance, which from here to this wire is actually 3d over 2, right? so let me, 3d over 2, 3d over 2 must be equal to i2 divided by d over 2, right? so from this you can see that d over 2 is gone.
02:23
You can see that i2 is just i1 divided by 3, right? i1 is giving so you can easily work out i2.
02:34
I'll leave you to work that out...