Suppose we consider the magnetic field generated by two identical coils of N tur

Question

Suppose we consider the magnetic field generated by two identical coils of N turns, radius R, and with the same current I passing through both coils. Suppose we examine this field in the central region when the coils are separated by a distance equal to their radius a) First, find the expression for the axial magnetic field as a function of current;it the exact center of the coil set. Which direction does it point? b) Calculate the numerical value of the magnetic field for the maximum current of 3 amperes. c) Calculate the numerical values of the magnetic field for six additional points at plusminus I cm, plusminus 2cm, plusminus 3cm about the center, along the z-axis for a current of 3 amperes.

Explanation / Answer

The Magnetic field due to one coil is

B1 = Mu0*n*I/2*pi*r

B2 = Mu0*n*I/2*pi*r

Total Field = B =B1+B2= Mu0*n*I/*pi*r, r=R

b) Substitute for I = 3 amperes in above equation

c) Substitute, I = 3 amps, r = 1, 2 and 3 cms respectively , B can be obtained

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