An inductor in a switch-mode power supply that operates at a peak current of 8 A...

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Electrical Engineering

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.

Answer & Explanation Solved by verified expert
3.8 Ratings (477 Votes)
a I8Amps E 80 mJWe know that energy stored in the inductor E 12LI2 Calculating the value of inductance L using above relation andthe given values of E and ISolving    See Answer
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