Answer:
I = 4.642 Ampere.
x = 2.145 cm
Explanation:
a) As we know, the magnetic field on the axis of the loop is given as
where a = radius of loop
x = point on the axis of loop
N = No of turns of coil
Current in the loop for which the magnetic field at the center is 0.0750 Tesla is given as x = 0
Therefore, the above equation can be rewritten as
I =
by putting values
I =
Current in the loop for which the magnetic field at the center is 0.0750 Tesla = I = 4.642 Ampere
b)
Now for part b the magnetic field at a distance x from the center is given as
multiply and divide by a on both sides we get
As we know, according to Biot sivorts law,the Magnetic Field at the Center of a circular loop is given as
( Magnetic field at center) =
So we got magnetic field at any point x as
= X
For magnetic field at x is half of the B at center
=
from the above two equations
=
Putting a = 2.80 cm
We have x = 2.145 cm Ans
μ