How does the magnetic field produced at the center of a circular loop depend on the size of the loop?

Question

a) The magnetic field strength decreases as one over the diameter of the loop squared.

b) The magnetic field strength increases with the area of the loop.

c) The magnetic field strength increases with the diameter of the loop.

d) The magnetic field strength decreases as one over the diameter of the loop.

e) None of the above.

Answer 1

B =( µ₀ I)/2R = ( µ₀ I) /D

Where I = Current and D = Diameter

So if Diameter increases Filed at center decreases

Area = piD²/4 = A

B = ( µ₀ I)/ 2(A/pi ) ^1/2

Now pick up correct choice