The self-inductance of an air-cored solenoid | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The self-inductance $L$ of a solenoid is given by the formula: $L = \frac{\mu_0 N^2 A}{l}$,where $\mu_0 = 4\pi 	imes 10^{-7} \ T \cdot m/A$ is th

Vedclass · Accepted Answer

$484$

Vedclass · Answer

(A) The self-inductance $L$ of a solenoid is given by the formula: $L = \frac{\mu_0 N^2 A}{l}$,where $\mu_0 = 4\pi 	imes 10^{-7} \ T \cdot m/A$ is the permeability of free space,$N = 200$ is the number of turns,$l = 0.4 \ m$ is the length,and $A = \pi r^2$ is the cross-sectional area. Given the diameter $d = 7 \ cm = 0.07 \ m$,the radius $r = 0.035 \ m$. Thus,$A = \pi (0.035)^2 \approx 3.848 	imes 10^{-3} \ m^2$. Substituting these values: $L = \frac{(4\pi 	imes 10^{-7}) 	imes (200)^2 	imes (3.848 	imes 10^{-3})}{0.4}$. $L = \frac{(12.566 	imes 10^{-7}) 	imes 40000 	imes 3.848 	imes 10^{-3}}{0.4}$. $L = \frac{0.193}{0.4} \approx 0.4825 	imes 10^{-3} \ H = 482.5 \ \mu H$. This is approximately $484 \ \mu H$.

The self-inductance of an air-cored solenoid of length $40 \ cm$,diameter $7 \ cm$ having $200$ turns is nearly: (in $\mu H$)

Similar Questions

Define the unit of self-inductance. On which factors does self-inductance depend?

What is the self-inductance of a coil which produces a self-induced $EMF$ of $5 \ V$ when the current changes from $3 \ A$ to $2 \ A$ in $1 \ ms$?

$A$ circuit has self-inductance $L$ and carries a current $I$. To prevent sparking when the circuit is switched off,a capacitor which can withstand potential difference $V$ is used. The least capacitance is

Current in a circuit falls from $5.0 \ A$ to $0.0 \ A$ in $0.1 \ s$. If an average emf of $100 \ V$ is induced,then the value of self-inductance of the circuit is . . . . . . . (in $H$)

$A$ magnetic flux of $5 \mu Wb$ is linked with a coil when a current of $1 \ mA$ flows through it. Calculate the self inductance of the coil.

Vedclass Test Series

Exam Paper Generator

Online Exam Module