Use the expression for the magnetic field of a loop to find an expression for the magnitude of the magnetic field at point P, a distance a/2 from the center of each coil Note that there is a total of 2N turns in the two coils.

Explanation:

The magnitude of the magnetic field at a point P, a distance a/2 from the center of the each coil can be determined as follows;

Let the magnitude be M;

Note that there is a total of 2N turns in the two coils.

So, we have:

where x = distance (d) which is given as a/2; we have:

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation: