A solenoid is 1.5 , m long and its inner diam | vedclass

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

Question

(B) The magnetic field $B$ inside a long solenoid is given by $B = \mu_0 n I$,where $n$ is the number of turns per unit length.Total number of turns $

Vedclass · Accepted Answer

$6.31 	imes 10^{-6} \, Wb$

Vedclass · Answer

(B) The magnetic field $B$ inside a long solenoid is given by $B = \mu_0 n I$,where $n$ is the number of turns per unit length.Total number of turns $N = 3 	imes 1000 = 3000$.Length $L = 1.5 \, m$.Number of turns per unit length $n = N/L = 3000 / 1.5 = 2000 \, turns/m$.Current $I = 2.0 \, A$.Radius $r = 2.0 \, cm = 0.02 \, m$.Area of cross-section $A = \pi r^2 = \pi (0.02)^2 = 4\pi 	imes 10^{-4} \, m^2$.Magnetic flux $\phi = B \cdot A = (\mu_0 n I) A$.$\phi = (4\pi 	imes 10^{-7}) 	imes 2000 	imes 2.0 	imes (4\pi 	imes 10^{-4})$.$\phi = 16 \pi^2 	imes 10^{-7} 	imes 4000 	imes 10^{-4} = 64 \pi^2 	imes 10^{-7} 	imes 10^{-1} \approx 64 	imes 9.87 	imes 10^{-8} \approx 6.31 	imes 10^{-6} \, Wb$.

$A$ solenoid is $1.5 \, m$ long and its inner diameter is $4.0 \, cm$. It has three layers of windings of $1000$ turns each and carries a current of $2.0 \, A$. The magnetic flux for a cross-section of the solenoid is nearly:

Similar Questions

The magnetic field intensity $H$ at the centre of a long solenoid having $n$ turns per unit length and carrying a current $I$,when no material is kept in it,is

$A$ long,straight wire of radius $a$ carries a current distributed uniformly over its cross-section. The ratio of the magnetic fields due to the wire at distance $\frac{a}{3}$ and $2a$ respectively from the axis of the wire is

$A$ solenoid has $N$ turns,length $l$,and cross-sectional radius $r$. If a current $i$ flows through the solenoid,what is the magnetic field at the axial midpoint? (Given $l \simeq r$)

The magnetic energy stored in a long solenoid of area of cross-section $A$ in a small region of length $L$ is

Rank the value of $\oint \vec{B} \cdot d\vec{l}$ for the closed paths shown in the figure from the smallest to largest.

Vedclass Test Series

Exam Paper Generator

Online Exam Module