A solenoid having area A and length ' 
' is filled with a material having relative permeability 2. The magnetic energy stored in the solenoid is:
Text Solution
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To determine the magnetic energy stored in a solenoid filled with a material of relative permeability 2, we start with the expression for energy density in a magnetic field:
Given that the relative permeability 
is 2, this becomes:
The energy 
stored in the solenoid can be expressed as:
Here, 
is the volume of the solenoid, calculated as 
(where 
is the cross-sectional area and 
is the length). Therefore, substituting for 
, we get:
This formula gives us the magnetic energy stored in the solenoid.
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