Question 370: AC fundamentals

Question

The inductive reactance of a coil is '$$\mathrm{X}_{\mathrm{L}}$$'. If the inductance of a coil is tripled and frequency of a.c. supply is doubled, then the new inductive reactance will be

Accepted Answer

$$\begin{aligned}
X_L & =\omega L=2 \pi f L \
f_{	ext {new }} & =2 f 	ext { and } L_{	ext {new }}=3 L \
	herefore \quad X_L^{\prime} & =2 \pi(2 f) 3 L \
& =6 	imes 2 \pi f L=6 X_L
\end{aligned}$$

Answer

$$\frac{2}{3} X_L$$

Answer

$$\frac{3}{2} X_L$$

Answer

$$\frac{1}{6} X_L$$

Answer

$$6 \mathrm{X}_{\mathrm{L}}$$

AC fundamentals

The inductive reactance of a coil is '$\mathrm{X}_{\mathrm{L}}$'. If the inductance of a coil is tripled and frequency of a.c. supply is doubled, then the new inductive reactance will be

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