An inductor in a switch-mode power supply that operates at apeak current of 8 A needs to store 80 mJ of energy, thereafterrelease it to a 10 ? load resistor. Suppose this inductor had to becustom designed and built as a solenoid coil wound on a pencil (10mm diameter) with no magnetic properties. Only one layer of turnsis allowed on the pencil’s outer surface, and 0.1-mm diameterenamel coated wire has to be used. Answer the followingcarefully:
(a) Calculate the required inductance to store the energy.
(b) Draw an isometric sketch of the air-core inductor with onlyone layer of turns, showing its dimensions and a few turns of wire.Also draw some flux lines.
(c) Calculate the effective cross-sectional flux area of theair-core inductor.
(d) Do 3 iterative calculations to solve the number of turns(tightly wound next to each other) required to achieve theinductance in (a). Comment on your result after each iteration.
