Find the magnetic field at the center of the solenoid if the wire is connected t

Question

Find the magnetic field at the center of the solenoid if the wire is connected to a battery having an emf ? = 15 V, and the solenoid is tightly wound.

008 10.0 points A solenoid of radius R - 5.9 cm is made of a long piece of wire of radius 3.6 mm, length l = 26.6 m (1 R) and resistivity 1.71 × 10-8 ·m. The permeability of free space is 1.25664 10-6 T-m/A Find the magnetic field at the center of the solenoid if the wire is connected to a battery having an emf e- 15 V, and the solenoid is tightly wound. Answer in units of T

Explanation / Answer

B at center of solenoid

B = uo*i*N/L

N =L/width

widht =3.6 * 10^-3 * 2 =

N = 3694

I= e/R

R = rho*L/A

A = pir^2 = pi * (3.6 x 10^-2)^2 = 4.07 x 10^-3 m^2

L = 26.6 m

rho = resistivity

R = 1.117 x 10^-4

I = 134266.722

B = 23.43 T

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