A 0.100 m long solenoid has a radius of 0.050 m and 1.50 x10 4 turns. The curren
ID: 2109567 • Letter: A
Question
A 0.100 m long solenoid has a radius of 0.050 m and 1.50 x104 turns. The current in the solenoid changes at a rateof 6.0 A/s. A conducting loop of radius 0.0200 m is placed at thecenter of the solenoid with its axis the same as that of thesolenoid as shown. Sorry I don't know how to draw complex pictureson a computer or word document. (a) What is the magnetic flux through the small loop when thecurrent through the solenoid is 2.50 A? (b) Determine the mutual inductance of this combination.A 0.100 m long solenoid has a radius of 0.050 m and 1.50 x104 turns. The current in the solenoid changes at a rateof 6.0 A/s. A conducting loop of radius 0.0200 m is placed at thecenter of the solenoid with its axis the same as that of thesolenoid as shown. Sorry I don't know how to draw complex pictureson a computer or word document. (a) What is the magnetic flux through the small loop when thecurrent through the solenoid is 2.50 A? (b) Determine the mutual inductance of this combination.
Explanation / Answer
B = u0 N i /L
u0 = permeability of vacuum
N #of turns
i current
L length
B = 1.25 E-6 1.5 E4 2.5 / 0.1 = 0.47 T
0.47 T equals 0.47 Wb/m2
The area of the loop is pi 0.02^2 = 0.00125 m2
That is a flux of ~5.91 E-4 Wb
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