Question 241: Electromagnetic Induction

Question

Two solenoids of equal number of turns have their lengths as well as radii in the same ratio $1: 3$. The ratio of their self inductance will be

Accepted Answer

$$\begin{array}{ll} 
& \mathrm{L} \propto \mathrm{r}^2 	ext { and } \mathrm{L} \propto \frac{1}{l} \
	herefore & \frac{\mathrm{~L}_1}{\mathrm{~L}_2}=\frac{\mathrm{r}_1^2}{\mathrm{r}_2^2} 	imes \frac{l_2}{l_1} \
	herefore & \frac{\mathrm{~L}_1}{\mathrm{~L}_2}=\frac{1}{9} 	imes \frac{3}{1}=\frac{1}{3}
\end{array}$$

Answer

$1: 3$

Answer

$1: 9$

Answer

$9: 1$

Answer

$3: 2$

Electromagnetic Induction

Two solenoids of equal number of turns have their lengths as well as radii in the same ratio 1: 3. The ratio of their self inductance will be

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