If R, X L X_{L} X L and X C X_{C} X C represent resistance, inductive reactance and capacitive reactance, then which of the following is dimensionless?

Question

If R, X L X_{L} X L ​ and X C X_{C} X C ​ represent resistance, inductive reactance and capacitive reactance, then which of the following is dimensionless?

G1 Physics · Accepted Answer

R, X(L) and X(C) all have the same dimension of resistance. Therefore R/√[X(L)X(C)] is dimensionless.

If R, X L X_{L} X L ​ and X C X_{C} X C ​ represent resistance, inductive reactance and capacitive reactance, then which of the following is dimensionless?

If R, X L X_{L} X L and X C X_{C} X C represent resistance, inductive reactance and capacitive reactance, then which of the following is dimensionless?