How do R, XL and XC get affected when the frequency of applied AC is doubled?
Answers
Answer:
You need to understand how frequency affects inductive reactance and a capacitive reactance. As the reactance of a device increases, its impedance increases.
A general statement is inductors offer a lower reactance to lower frequencies and a higher reactance to higher frequencies. The specific relationship between frequency and XL is expressed by this equation:
XL = 2 x pi x f x L.
You can see that XL increases as f increases.
A general statement is capacitors offer a lower reactance to higher frequencies and a higher reactance to lower frequencies. The specific relationship between frequency and XC is expressed by this equation:
XC = 1/(2 x pi x f x C).
You can see that XC decreases as f increases.
I suggest assigning values for f, L and C and calculate XL and XC. Then double the value of f, recalculate both and you will have your answer.