A regular polygon of $6$ sides is formed by bending
a wire of length $4 \pi$ meter. If an electric current of $4 \pi \sqrt{3} \mathrm{~A}$ is flowing through the sides of the polygon, the magnetic field at the centre of the polygon would be $x \times 10^{7} \mathrm{~T}$. The value of $\mathrm{x}$ is______.
JEE MAIN 2024, Diffcult
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
- 1View SolutionWhich of the following statements regarding magnetic lines of force is correct?
- 2The radius of a circular ring of wire is $R$ and it carries a current of $I\,ampere$. At its centre a smaller ring of radius $r$ with current $i$ and $N\, turns$ is placed. Assuming that the planes of two rings are perpendicular to each other and the magnetic induction produced at the centre of bigger ring is constant, then the torque acting on smaller ring will beView Solution
- 3A uniform magnetic field $B$ exists in the region between $x=0$ and $x=\frac{3 R}{2}$ (region $2$ in the figure) pointing normally into the plane of the paper. A particle with charge $+Q$ and momentum $p$ directed along $x$-axis enters region $2$ from region $1$ at point $P_1(y=-R)$. Which of the following option(s) is/are correct?View Solution
$[A$ For $B>\frac{2}{3} \frac{p}{QR}$, the particle will re-enter region $1$
$[B]$ For $B=\frac{8}{13} \frac{\mathrm{p}}{QR}$, the particle will enter region $3$ through the point $P_2$ on $\mathrm{x}$-axis
$[C]$ When the particle re-enters region 1 through the longest possible path in region $2$ , the magnitude of the change in its linear momentum between point $P_1$ and the farthest point from $y$-axis is $p / \sqrt{2}$
$[D]$ For a fixed $B$, particles of same charge $Q$ and same velocity $v$, the distance between the point $P_1$ and the point of re-entry into region $1$ is inversely proportional to the mass of the particle
- 4A proton is moving along $Z$-axis in a magnetic field. The magnetic field is along $X$-axis. The proton will experience a force alongView Solution
- 5A long solenoid with $20$ $turns$ per $cm$ is made. To produce a magnetic field of $20$ $millitesla$ inside the solenoid, the necessary current will nearly be......$ampere$View Solution
- 6A long solenoid carrying a current produces a magnetic field $B$ along its axis. If the current is doubled and the number of turns per cm is halved, the new value of the magnetic field isView Solution
- 7View SolutionWhich of the following particle will describe the smallest circle when projected with the same velocity perpendicular to the magnetic field ?
- 8View SolutionA charged particle is released from rest in a region of steady uniform electric and magnetic fields which are parallel to each other the particle will move in a
- 9The resistance of a galvanometer is $50\,\Omega $ and current required to give full scale deflection is $100\,μA$ in order to convert it into an ammeter for reading upto $10\,A$. It is necessary to put an resistance ofView Solution
- 10The sensitivity of a Galvenometer of resistance $171\,\Omega $ becomes $20\,times$ when we used shunt of $x \,\Omega .$ Find $x$ ................. $\Omega$View Solution