A long wire carrying a current of 18 ,A is ke | vedclass

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

Question

(D) Given:Current in the long wire,$I = 18 \,A$.Magnetic field due to the solenoid,$B_1 = 8.0 	imes 10^{-3} \,T$ (directed along the axis).Distance o

Vedclass · Accepted Answer

$10 	imes 10^{-3} \,T$

Vedclass · Answer

(D) Given:Current in the long wire,$I = 18 \,A$.Magnetic field due to the solenoid,$B_1 = 8.0 	imes 10^{-3} \,T$ (directed along the axis).Distance of point $P$ from the axis,$r = 0.6 \,mm = 0.6 	imes 10^{-3} \,m$.The magnetic field due to the long current-carrying wire at a distance $r$ is given by:$B_2 = \frac{\mu_0 I}{2 \pi r} = \frac{2 	imes 10^{-7} 	imes 18}{0.6 	imes 10^{-3}} = \frac{36 	imes 10^{-7}}{0.6 	imes 10^{-3}} = 60 	imes 10^{-4} \,T = 6 	imes 10^{-3} \,T$.The magnetic field $B_1$ due to the solenoid is along the axis,and the magnetic field $B_2$ due to the wire is tangential to the circle of radius $r$ around the wire. Thus,$B_1$ and $B_2$ are perpendicular to each other.The resultant magnetic field $B$ is:$B = \sqrt{B_1^2 + B_2^2} = \sqrt{(8 	imes 10^{-3})^2 + (6 	imes 10^{-3})^2} \,T$$B = \sqrt{64 	imes 10^{-6} + 36 	imes 10^{-6}} \,T = \sqrt{100 	imes 10^{-6}} \,T = 10 	imes 10^{-3} \,T$.

Similar Questions

$A$ long solenoid carrying a current produces a magnetic field $B$ along its axis. If the number of turns per cm are tripled and the current is made $\left(\frac{1}{4}\right)^{th}$,then the new value of the magnetic field will be:

$A$ solenoid $2 \,m$ long and $4 \,cm$ in diameter has $4$ layers of windings of $1000$ turns each and carries a current of $5 \,A$. What is the magnetic field at its centre along the axis? $\left[\mu_0=4 \pi \times 10^{-7} \,Wb / Am\right]$

The magnetic field intensity $(H)$ at the centre of a long solenoid carrying a current of $2 \ A$ is found to be $1000 \ A/m$. The number of turns per centimeter of the solenoid is: (Use $\mu_0 = 4 \pi \times 10^{-7} \ T \ m \ A^{-1}$)

$A$ coaxial cable having radii $a, b$ and $c$ carries equal and opposite currents of magnitude $i$ in the inner and outer conductors. What is the magnitude of the magnetic induction at point $P$ outside of the cable at a distance $r$ from the axis?

Vedclass Test Series

Exam Paper Generator

Online Exam Module