Question

State Ampere's circuital law and prove it for the
magnetic field produced by a straight current carrying
conductor.
​

Answer 1

Explanation:

ampere circuital law states that the line integral of the magnetic field is equal to u0 times the net currenmt enclosed within it ..

mathematically

line integral of B.DL= u0. I

for prooving the ampere circuital law ..

u can apply that to the circular coil which u already derived by using the biot savart law ..

so, for a circuilar coil

line integral B.DL = U0 . I

SO, HERE b comes out as a constant ,

and dl integral = 2 pie r

so, line integral b. 2 pie r = u0. I

so, B= U0 . I / 2 PIE R

a)as current I increases, magnetic field also increases

so it is directly proportional to current

b)as the distance from the current carrying conductor increase, the magnetic field becomes weaker

so it is inversely proportional to distance

Answer 2

Hii its tom85

ampere circutal law states that line integral of magnetic field over a close loop is equal to Uo times equal to the total current passing through the surface.

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hope it may helps you