An engineer is designing two coils that must exhibit an inductive reactance of under…

PHYSICS · Multi-part · CBSE · Physics · Alternating Current · Alternating Current

Problem

An engineer is designing two coils that must exhibit an inductive reactance of 150 Ω150\,\Omega under different operating conditions. (i) A prototype coil is tested at 75 Hz75\,\text{Hz} and found to give the required reactance. Calculate the inductance of this prototype coil. (ii) The final installation will operate at 60 Hz60\,\text{Hz} but must still have the same reactance of 150 Ω150\,\Omega. Keeping the coil pure and resistance-free, determine the inductance that the engineer should specify. (iii) Find the percentage change in inductance required when switching from the prototype to the final installation.

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