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A solenoid of length l = 50 cm, cross-se...

A solenoid of length l = 50 cm, cross-sectional area `A= pi (0.5)^2 m^2` has an axial magnetic field of B = 0.1 T. Find the value of
magnetic energy per unit volume.

Text Solution

Verified by Experts

Magnetic field at any point inside the solenoid is
`B = (mu_0NI)/l`
`implies l= ((Bl)/(mu_0N))" "...(i)`
If Lis self-inductance of solenoid, then
`L = ((mu_0N^2A)/(l)) " "....(ii)`
Magnetic energy stored per unit volume
`=B^2/(2mu_0)= ((0.1)^2)/(2xx4 xxpi xx 10^(-7))`
`= 3.9 xx10^3 J//m^3`
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