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Solved Problems-13

Problem-13
Obtain an expression for the self-inductance of a toroid of circular section with ā€˜Nā€™ closely spaced turns.
Solution
Let,
r = Mean radius of the toroid
N = Number of turns
S = Radius of the coil
 
We have the magnetic field,
Description: Description: 104765.png
 
total flux linkage per turn is, Description: Description: 104758.png
 
Hence, the self-inductance of the toroid is Description: Description: 104749.png
 
Description: Description: 104742.png
 





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