Where M is the magnetic pole strength in newtons/tesla, F is the magnetic force

Question

Where M is the magnetic pole strength in newtons/tesla, F is the magnetic force in newtons and B is the magnetic field strength in teslas. The equation for the magnetic field strength along the axis of a circular loop is mu_0 Ia^2/2(a^2 +b^2)^3/2 For the coils used in this experiment this equation becomes (see question 1): Equation 3: B = 8.992x10^-7 NI/a Where B is the magnetic field strength in teslas, N is the number of turns in one section of coil, I is the current in the coil in amperes and u is the radius of the coil in meters

Explanation / Answer

at the center of the loop

b = 0

therefore

B = uI a^2 /2a^3

B = u I / 2a for one loop

for N loops

B = NI u /2a

u = 4 pi x 10^-7

B = NI 6.283 x 10^-7 / a

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