Two coaxial long solenoids of equal lengths have current i 1 , i 2 , number of turns per unit length n 1 , n 2 and radius r 1 , r 2 respectively. If n 1 i 1 = n 2 i 2 and the two solenoids carry current in opposite sense, the magnetic energy stored per unit length is [r 2 > r 1 ]-
Text Solution
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Magnetic field is non zero only in the region between the two solenoids, where B = µ 0 n 2 i 2
energy stored per unit volume
= 
The energy per unit length = energy per unit volume × area of cross section
where B ≠ 0 = 
[ π (r 2 2 – r 1 2 )]
= 
[ π (r 2 2 – r 1 2 ), since n 1 i 1 = n 2 i 2
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