Question 83: AC fundamentals

Question

As per the given graph, choose the correct representation for curve $\mathrm{A}$ and curve B.
Where $\mathrm{X}_{\mathrm{C}}=$ reactance of pure capacitive circuit connected with A.C. source
$\mathrm{X}_{\mathrm{L}}=$ reactance of pure inductive circuit connected with $\mathrm{A} . \mathrm{C}$. source
R = impedance of pure resistive circuit connected with A.C. source.
$\mathrm{Z}=$ Impedance of the LCR series circuit $\}$
![](https://app-content.cdn.examgoal.net/fly/@width/image/1lgvel4zm/bf645e87-de2e-42c0-aa96-03a00330f0c9/6bce7620-e2ee-11ed-b29f-636b60af9e14/file-1lgvel4zn.png?format=png)

Accepted Answer

$
\begin{aligned}
& \mathrm{X}_{\mathrm{C}}=\frac{1}{\omega \mathrm{C}}=\frac{1}{(2 \pi \mathrm{f}) \mathrm{C}} \\
& 	herefore \mathrm{X}_{\mathrm{C}} \propto \frac{1}{\mathrm{f}} \\
& 	herefore 	ext { Curve } \mathrm{A} \\
& \mathrm{X}_{\mathrm{L}}=\omega \mathrm{L}=(2 \pi \mathrm{f}) \mathrm{L} \\
& 	herefore \mathrm{X}_{\mathrm{L}} \propto \mathrm{f} \\
& 	herefore 	ext { Curve } \mathrm{B}
\end{aligned}
$

Answer

$\mathrm{A}=\mathrm{X}_{\mathrm{L}}, \mathrm{B}=\mathrm{R}$

Answer

$\mathrm{A}=\mathrm{X}_{L}, \mathrm{~B}=Z$

Answer

$\mathrm{A}=\mathrm{X}_{\mathrm{C}}, \mathrm{B}=\mathrm{X}_{\mathrm{L}}$

Answer

$\mathrm{A}=\mathrm{X}_{\mathrm{C}}, \mathrm{B}=\mathrm{R}$

AC fundamentals

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