A solenoid of length 25 cm carries a current of 7A. It has its windings in 2 layers with each layer having 800 turns. what is the magnitude of the magnetic induction inside the solenoid well away from its end.
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Length of solenoid L=80cm=0.8m
Diameter of solenoid d=1.8cm
As d<<L, thus we can treat the solenoid as solenoid of infinite length w.r.t its diameter.
Current flowing through the solenoid I=8.0 A
Total number of turns N=5×400=2000 turns
Number of turns per unit length n=
L
N
∴ n=
0.8
2000
=2500
Magnetic field at the center of solenoid B=μ
o
nI
∴ B=4π×10
−7
×2500×8.0
We get B=2.5×10
−2
T
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