How should the diameter of the wire used be chosen so to minimize the heat dissipated in windings ? Check the details in question.
The turns of a solenoid is designed to provide a given magnetic flux density along its axis are wound to fill the space between 2 concentric cylinder of fixed radii.How should the diameter of the wire used be chosen so to minimize the heat dissipated in windings ?
The turns of a solenoid is designed to provide a given magnetic flux density along its axis are wound to fill the space between 2 concentric cylinder of fixed radii.How should the diameter of the wire used be chosen so to minimize the heat dissipated in windings ?
1 Answer
This is what I get.
Explanation:
We are required to fill the cross sectional area between between two concentric cylinders of fixed radii with wire of diameter
Cross section of wire
Resistance of one turn of wire
Rpropd^-4 .......(2)
We know that magnetic flux density produced
From (1) above becomes
Ipropd^2 .....(3)
Heat dissipated in a resistance
Using (2) and (3)
Heat dissipated in a resistance
=> Heat dissipated in a multilayered solenoid, as described above, is independent of diameter of wire.