A beam contains $2 \times 10^8$ doubly charged positive ions per cubic centimeter, all of which are moving with a speed of $10^5 \,m/s$. The current density is ............. $A/m^2$
Medium
Download our app for free and get startedPlay store
$J = nqv = n(ze)v = \frac{{2 \times {{10}^8} \times 2 \times 1.6 \times {{10}^{ - 19}} \times {{10}^5}}}{{{{({{10}^{ - 2}})}^3}}}$ $= 6.4\,A/m^2$
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
    The potential drop across the $3$ $\Omega$ resistor is ............... $V$
    View Solution
  • 2
    Two batteries, one of $emf$ $18\, volts$ and internal resistance $2\,\Omega $ and the other of $emf$ $12\, volt$ and internal resistance $1\,\Omega $, are connected as shown. The voltmeter $V$ will record a reading of .............. $\mathrm{volt}$
    View Solution
  • 3
    In an electrical cable there is a single wire of radius $9\, mm$ of copper. Its resistance is $5\,\Omega $. The cable is replaced by $6$ different insulated copper wires, the radius of each wire is $3\,mm$. Now the total resistance of the cable will be ............... $\Omega$
    View Solution
  • 4
    In the circuit shown in figure, all cells are ideal. The current through $2 \,\Omega$ resistor is ............ $A$
    View Solution
  • 5
    The length of a given cylindrical wire is increased by $100 \%$. Due to the consequent decrease in diameter the change in the resistance of the wire will be .................. $\%$
    View Solution
  • 6
    In the circuit shown in figure, the power which is dissipated as heat in the $6\,\Omega$ resistor is $6\,W$. What is the value of resistance $R$ in the circuit?................... $\Omega$
    View Solution
  • 7
    We have a galvanometer of resistance $25\,\Omega $. It is shunted by a $2.5\,\Omega $ wire. The part of total current that flows through the galvanometer is given as
    View Solution
  • 8
    Which arrangement of four identical resistances should be used to draw maximum energy from a cell of voltage $V$
    View Solution
  • 9
    $10\, Cells$, each of $emf$ $'E'$ and internal resistance $'r'$, are connected in series to a variable external resistance. Figure shows the variation of terminal potential difference of their combination with the current drawn from the combination.$Emf$ of each cell is ................ $V$
    View Solution
  • 10
    Variation of current passing through a conductor as the voltage applied across its ends as varied is shown in the adjoining diagram. If the resistance $(R)$ is determined at the points $A$, $B$, $C$ and $D$, we will find that
    View Solution