A solenoid 22.0 cm longand with a cross-sectional area of 0.500cm 2 contains 415

Question

A solenoid 22.0 cm longand with a cross-sectional area of 0.500cm2 contains 415turns of wire and carries a current of 85.0 A. (a) Calculate the magnetic field in thesolenoid.
1 T

(b) Calculate the energy density in the magnetic field if thesolenoid is filled with air.
2 J/m3

(c) Calculate the total energy contained in the coil's magneticfield (assume the field is uniform).
3 J

(d) Calculate the inductance of the solenoid.
4 H (a) Calculate the magnetic field in thesolenoid.
1 T

(b) Calculate the energy density in the magnetic field if thesolenoid is filled with air.
2 J/m3

(c) Calculate the total energy contained in the coil's magneticfield (assume the field is uniform).
3 J

(d) Calculate the inductance of the solenoid.
4 H

Explanation / Answer

(a) mag field = i N / L = 4 x 10-7 * 85.0 * 415 / 0.22 =    0.2015 T

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