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