Current change in a reactor by altering the frequency

[kwinter]

Hi can anyone answer the following question. I am aware X=2piFL how do I use this to find the answer to the following:

A reactor allows a current of 15 A to flow from a 230 V 50 Hz supply. Determine the current which will flow at the same voltage if the frequency changes to (a) 45 Hz, (b) 55 Hz. Ignore resistance.

kwinter

 

[peterb]

..... as no resistance current = voltage/ X
from which current is proportional to 1/X if voltage is the same (RMS value) s
o current is proportional to 1/f because X is proportional to f. s
o 15 = k/50 where k is a constant. so k= 15*50 = 750.

so at 45Hz current = 750/45 = 16.7 A
and at 55Hz current = 750 /55 = 13.6A

 

[kwinter]

Thanks Peter