If number of turns per unit length in a solenoid is tripled, the self inductance of solenoid will

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Aicharya · Accepted Answer

Self-inductance of a solenoid is given by $\begin{aligned} & \quad \mathrm{L}=\frac{\mu_0 \mathrm{~N}^2 \mathrm{~A}}{l} \ & 	herefore \quad \mathrm{~L} \propto \mathrm{~N}^2 \ & \frac{\mathrm{~L}_1}{\mathrm{~L}_2}=\left(\frac{\mathrm{N}_1}{\mathrm{~N}_2}ight)^2 \ & \frac{\mathrm{~L}}{\mathrm{~L}_2}=\left(\frac{\mathrm{N}}{3 \mathrm{~N}}ight)^2 \ & \mathrm{~L}_2=9 \mathrm{~L} \end{aligned}$ .

If number of turns per unit length in a solenoid is tripled, the self inductance of solenoid will

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