A long solenoid of radius $1\,mm$ has $100 $turns per $mm$. If $1\,A$ current flows in the solenoid, the magnetic field strength at the centre of the solenoid is:
NEET 2022, Easy
Download our app for free and get startedPlay store
$B =\mu_{0} ni =\mu_{0} \frac{ N }{\ell} i$

$\therefore B =4 \pi \times 10^{-7} \times \frac{100}{10^{-3}} \times 1=12.56 \times 10^{-2} T$

art

Download our app
and 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

  • 1
    A fixed horizontal wire carries a current of $200\, A$. Another wire having a mass per unit length ${10^{ - 2}}\,kg/m$ is placed below the first wire at a distance of $2\, cm$ and parallel to it. How much current must be passed through the second wire if it floats in air without any support? What should be the direction of current in it
    View Solution
  • 2
    A conductor of length $l$ and mass $m$ is placed along the east-west line on a table. Suddenly a certain amount of charge is passed through it and it is found to jump to a height $h$. The earth’s magnetic induction is $B$. The charge passed through the conductor is: 
    View Solution
  • 3
    An electron and a proton are moving on straight parallel paths with same velocity. They enter a semi-infinite region of uniform magnetic field perpendicular to the velocity. Which of the following statement$(s)$ is/are true?

    $(A)$ They will never come out of the magnetic field region.

    $(B)$ They will come out travelling along parallel paths.

    $(C)$ They will come out at the same time.

    $(D)$ They will come out at different times.

    View Solution
  • 4
    A rectangular loop of wire, supporting a  mass $m$, hangs with one end in a uniform magnetic field $\vec B$  pointing into the plane of the paper. $A$ clockwise current is set up such that  $i> mg/Ba,$ where $a$ is the width of the loop. Then
    View Solution
  • 5
    A thin flexible wire of length $\mathrm{L}$ is connected to two adjacent fixed points and carries a current $\mathrm{I}$ in the clockwise direction, as shown in the figure. When the system is put in a uniform magnetic field of strength $B$ going into the plane of the paper, the wire takes the shape of a circle. The tension in the wire is
    View Solution
  • 6
    The force exerted by a magnetic field on a wire having length $L$ and current $I$ is perpendicular to the wire and given as $\left| F \right| = IL\left| B \right|$ . An experimental plot shows $(\vec F)$ as function of $L$ . The plot is a straight line with a slope $S = \left( {10 \pm 1} \right) \times {10^{ - 5}}\ AT$. The current in the wire is $\left( {15 \pm 1} \right)\ mA$ . The percentage error in $B$ is
    View Solution
  • 7
    A wire is bent in the form of an equilateral triangle of side $100 \,cm$ and carries a current of $2 \,A$. It is placed in a magnetic field of induction $2.0 \,T$ directed perpendicular into the plane of paper. The direction and magnitude of magnetic force acting on each side of the triangle will be
    View Solution
  • 8
    On connecting a battery to the two corners of a diagonal of a square conductor frame of side $a$ the magnitude of the magnetic field at the centre will be
    View Solution
  • 9
    Electron of mass $m$ and charge $q$ is travelling with a speed along a circular path of radius $r$ at right angles to a uniform magnetic field of intensity $B$. If the speed of the electron is doubled and the magnetic field is halved the resulting path would have a radius
    View Solution
  • 10
    A rectangular region of dimensions ( $\omega \times l(\omega) \ll l$ ) has a constant magnetic field into the plane of the paper as shown in the figure below. On one side, the region is bounded by a screen. On the other side, positive ions of mass $m$ and charge $q$ are accelerated from rest and towards the screen by a parallel plate capacitor at constant potential difference $V < 0$ and come out through a small hole in the upper plate. Which one of the following statements is correct regarding the charge on the ions that hit the screen?
    View Solution