Question 160: AC fundamentals

Question

If $$\mathrm{R}, \mathrm{X}_{\mathrm{L}}$$, and $$\mathrm{X}_{\mathrm{C}}$$ represent resistance, inductive reactance and capacitive reactance. Then which of the following is dimensionless :

Accepted Answer

$R=$ Resistance
$$
\begin{aligned}
& {\left[X_{L}ight]=[R]} \\
& {\left[X_{C}ight]=[R]}
\end{aligned}
$$
So, $\frac{R}{\sqrt{X_{L} X_{C}}}$ is dimensionless.

Answer

$$\frac{R}{X_{L} X_{C}}$$

Answer

$$R X_{L}  X_{C}$$

Answer

$$\frac{R}{\sqrt{X_{L} X_{C}}}$$

Answer

$$R \frac{X_{L}}{X_{C}}$$

AC fundamentals

If $\mathrm{R}, \mathrm{X}_{\mathrm{L}}, and \mathrm{X}_{\mathrm{C}}$ represent resistance, inductive reactance and capacitive reactance. Then which of the following is dimensionless :

Choose the correct answer: