A long straight wire carries a current of $\pi \,amp.$ The magnetic field due to it will be $5 \times {10^{ - 5}}{\rm{ }}\,weber/{m^{\rm{2}}}$ at what distance from the wire $[{\mu _o} = $ permeability of air]
Easy
Download our app for free and get started
(a) $B = \frac{{{\mu _0}}}{{2\pi }}\frac{i}{r} \Rightarrow 5 \times {10^{ - 5}} = \frac{{{\mu _0}}}{{2\pi }} \times \frac{\pi }{r} \Rightarrow r = {10^4}{\mu _0}\;metre$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1A vertical wire kept in $Z-X$ plane carries a current from $Q$ to $P$ (see figure). The magnetic field due to current will have the direction at the origin $O$ alongView Solution
- 2In the figure, shown the magnetic induction at the centre of there $arc$ due to the current in portion $AB$ will beView Solution
- 3An electron is moving along $+x$ direction. To get it moving along an anticlockwise circular path in $x-y$ plane, magnetic field applied alongView Solution
- 4A coil having $N$ $turns$ is wound tightly in the form of a spiral with inner and outer radii $a$ and $b$ respectively. When a current $I$ passes through the coil, the magnetic field at the centre isView Solution
- 5A particle of specific charge (charge/mass) $\alpha$ starts moving from the origin under the action of an electric field $\vec E = {E_0}\hat i$ and magnetic field $\vec B = {B_0}\hat k$. Its velocity at $(x_0 , y_0 , 0)$ is ($(4\hat i + 3\hat j)$ . The value of $x_0$ is:View Solution
- 6A wire carrying current $I$ is tied between points $P$ and $Q$ and is in the shape of a circular arc of radius $R$ due to a uniform magnetic field $B$ (perpendicular to the plane of the paper, shown by $\times \times \times $) in the vicinity of the wire. If the wire subtends an angle $2\theta_0$ at the centre of the circle (of which it forms an arc) then the tension in the wire isView Solution
- 7Given below are two statement :View Solution
Statement $I :$ If the number of turns in the coil of a moving coil galvanometer is doubled then the current sensitivity becomes double.
Statement $II :$ Increasing current sensitivity of a moving coil galvanometer by only increasing the number of turns in the coil will also increase its voltage sensitivity in the same ratio:
In the light of the above statement, choose the correct answer from the options given below :
- 8View SolutionA charged particle is projected in a plane perpendicular to a uniform magnetic field. The area bounded by the path described by the particle is proportional to
- 9View SolutionUnit of magnetic permeability is
- 10For a moving coil galvanometer, the deflection in the coil is $0.05\,rad$ when a current of $10\,mA$ is passed through it. If the torsional constant of suspension wire is $4.0 \times 10^{-5}\,Nm\,rad ^{-1}$, the magnetic field is $0.01\,T$ and the number of turns in the coil is $200$,the area of each turn (in $cm ^2$ ) is :View Solution