A conducting ring of radius $'r$' is placed in a varying magnetic field perpendicular to the plane of the ring, the rate at which magnetic field varies is $x$ the electric field intensity at any point of the ring is
Medium
Download our app for free and get startedPlay store
$\oint \mathrm{E.d} \ell=\frac{\mathrm{d} \phi_{\mathrm{B}}}{\mathrm{dt}}$

$E$. $2 \pi r=\pi r^{2} \frac{d B}{d t}$

$\mathrm{E} .2 \pi \mathrm{r}=\pi \mathrm{r}^{2} \mathrm{x}$

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 closely wound solenoid of $2000$ $turns$ and area of cross-section  $1.5 \times 10^{-4}\ m^2$ carries a current of $2.0\, A.$ It is suspended through its centre and perpendicular to its length, allowing it to turn in a horizontal plane in a uniform magnetic field $5 \times 10^{- 2}$ $tesla$ making an angle of $30^o $ with the axis of the solenoid. The torque on the solenoid will be 
    View Solution
  • 2
    By ammeter, which of the following can be measured
    View Solution
  • 3
    An electron is projected with uniform velocity along the axis inside a current carrying long solenoid. Then :
    View Solution
  • 4
    Find the magnitude of magnetic field at point $p$ due to a semi - infinite wire given below
    View Solution
  • 5
    Two concentric coils each of radius equal to $2\pi \,{\rm{ }}cm$ are placed at right angles to each other. $3$ $ampere$ and $4$ $ampere$ are the currents flowing in each coil respectively. The magnetic induction in $Weber/{m^2}$ at the centre of the coils will be $({\mu _0} = 4\pi \times {10^{ - 7}}\,Wb/A.m)$
    View Solution
  • 6
    A uniform conducting wire of length is $24 {a}$, and resistance ${R}$ is wound up as a current carrying coil in the shape of an equilateral triangle of side $'a'$ and then in the form of a square of side $'a'.$ The coil is connected to a voltage source ${V}_{0}$. The ratio of magnetic moment of the coils in case of equilateral triangle to that for square is $1: \sqrt{y}$ where $y$ is ..... .
    View Solution
  • 7
    A long wire $AB$ is placed on a table. Another wire $PQ$ of mass $1.0\, g$ and length $50\, cm$ is set to slide on two rails $PS$ and $QR$. A current of $50\,A$ is passed through the wires. At what distance above $AB$, will the wire $PQ$ be in equilibrium.....$mm$
    View Solution
  • 8
    If the strength of the magnetic field produced $10\,cm$ away from a infinitely long straight conductor is ${10^{ - 5}}\,Weber/{m^2}$, the value of the current flowing in the conductor will be........$ampere$
    View Solution
  • 9
    Two parallel conductors $A$ and $B$ of equal lengths carry currents $I$ and $10\, I$, respectively, in the same direction. Then
    View Solution
  • 10
    A galvanometer having a coil resistance of $60\,\,\Omega$ shows full scale deflection when a current of $1.0$ $amp$ passes through it. It can be converted into an ammeter to read currents upto $5.0$ $amp$ by
    View Solution