00:03
In this problem, a wire is bent to a shape, right? so, as shown in the figure, right? if the current i runs through the wire, what is the direction and magnitude of magnetic field at the center of the loop, right? so, center of the loop we need to find out the magnetic field, right? so, magnetic field at center due to current carrying loop would be given by b1 is equal to mu0 i by 2r, right? and direction is outward, direction is outward the page, right? now, magnetic field due to straight current wire would be b2 is equal to mu0 i by 2 pi i, right? so, there is a difference, right? so, b1 and b2 we know that, right? so, therefore, final b is equal to b1 plus b2, yes? so, here it becomes mu0 i by 2r plus mu0 i by 2 pi r, isn't it? so, now this will be, let us just take a common value here, mu0 i will be taken common and upon 2r is taken common.
02:44
Now, what it is left is, the things left are 1 plus, this will be 1 plus 1 upon pi, right? so, this is outward the page, outward the page means dot, outward the page means out...