An electron is moving along positive $x$-axis.Auniform electric field exists towards negative $y$-axis. What should be the direction of magnetic field of suitable magnitude so that net force of electron is zero
Medium
Download our app for free and get startedPlay store
$\overrightarrow{F_{e}}+\overrightarrow{F_{m}}=0$

$q \vec{E}+q(\vec{V} \times \vec{B})=0 \Rightarrow \vec{E}+\vec{V} \times \vec{B}=0$

$E(-\hat{j})+V B(\hat{i} \times \widehat{n})=0 \Rightarrow \hat{i} \times \widehat{n}$

should be in $\hat{j} . S o \widehat{n}=-\hat{k}$

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 current $I$ flows around a closed path in the horizontal plane of the circle as shown in the figure. The path consists of eight arcs with alternating radii $r$ and $2r$. Each segment of arc subtends equal angle at the common centre $P.$ The magnetic field produced by current path at point $P$ is
    View Solution
  • 2
    An electron of charge $e$ moves in a circular orbitof radius $r$ around the nucleus at a frequency $v$. The magnetic moment associated with the orbital motion of the electron is
    View Solution
  • 3
    The magnetic moments associated with two closely wound circular coils $A$ and $B$ of radius $r_A=10 cm$ and $r_B=20 cm$ respectively are equal if: (Where $N _A, I _{ A }$ and $N _B, I _{ B }$ are number of turn and current of $A$ and $B$ respectively)
    View Solution
  • 4
    In a co-axial straight cable, the central conductor and the outer conductor carry equal currents in opposite directions. The magnetic field is zero.
    View Solution
  • 5
    In a circuit $5$ percent of total current passes through a galvanometer. If resistance of the galvanometer is $G$ then value of the shunt is
    View Solution
  • 6
    A current $i$ is flowing in a straight conductor of length $L$. The magnetic induction at a point distant $\frac{L}{4}$ from its centre will be
    View Solution
  • 7
    A coil carrying a heavy current and having large number of turns mounted in a $N-S$ vertical plane and $a$ current flows in clockwise direction. A small magnetic needle at its cente will have its north pole in
    View Solution
  • 8
    Which of the following figures correctly depicts the direction of magnetic field of a current-carrying coil ?
    View Solution
  • 9
    A symmetric star conducting wire loop is carrying a steady state current $\mathrm{I}$ as shown in figure. The distance between the diametrically opposite vertices of the star is $4 a$. The magnitude of the magnetic field at the center of the loop is
    View Solution
  • 10
    Infinite number of straight wires each carrying current $I$ are equally placed as shown in the figure. Adjacent wires have current in opposite direction. Net magnetic field at point $P$ is
    View Solution