Xc and XL relation after a change of frequency

[Tegalad]

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 X_L=X_C, how does the relation change when the frequency doubles? The answer says X_L=4X_C Can someone explain me how they come to this conclusion? Thanks in advance

 

[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.

 

[slow]

The answer says X_L=4X_C Can someone explain me how they come to this conclusion?

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.

 

[Tegalad]

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.

Yeah, thank you for response, already got the answer.