# B Xc and XL relation after a change of frequency

1. May 17, 2018

I am getting ready for exams and I have encountered this problem on the exam paper: In AC circuit there is a condensator and a inductive coil, At first XL=XC, how does the relation change when the frequency doubles? The answer says XL=4XC Can someone explain me how they come to this conclusion? Thanks in advance

2. May 17, 2018

### sophiecentaur

What is the formula for Reactance of a C and an L? Write those formulae down and substitute f with 2f; what do you get? It's pretty simple maths.

3. May 20, 2018

### slow

It is a purely conceptual exercise. You do not need to write formulas. Respond conceptually. Is $X_L$ inverse or directly proportional to the frequency? And the same question for $X_C$. This takes you directly to the result.

4. May 20, 2018