Force of attraction between the plates of a parallel plate capacitor is
Medium
Download our app for free and get startedPlay store
(a) Force on one plate due to another is
$F = qE =$ $q \times \frac{\sigma }{{2{\varepsilon _0}K}}$$ = q\,\left( {\frac{q}{{2AK{\varepsilon _0}}}} \right) = \frac{{{q^2}}}{{2AK{\varepsilon _0}}}$
(where $\frac{\sigma }{{2{\varepsilon _0}K}}$ is the electric field produced by one plate at the location of other).
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
    Three capacitors of capacity ${C_1},\;{C_2}\;{C_3}$ are connected in series. Their total capacity will be
    View Solution
  • 2
    The election field in a region is given by $\vec E = (Ax + B)\hat i$ where $E$ is in $N\,C^{-1}$ and $x$ in meters. The values of constants are $A = 20\, SI\, unit$ and  $B = 10\, SI\, unit$. If the potential at $x =1$ is $V_1$ and that at $x = -5$ is $V_2$ then $V_1 -V_2$ is.....$V$
    View Solution
  • 3
    In the circuit shown, initially there is no charge on capacitors and keys $S _1$ and $S _2$ are open. The values of the capacitors are $C _1=10 \mu F , C _2=30 \mu F$ and $C _3= C _4=80 \mu F$.

    Which of the statement($s$) is/are correct ?

    $(1)$ The keys $S _1$ is kept closed for long time such that capacitors are fully charged. Now key $S _2$ is closed, at this time, the instantaneous current across $30 \Omega$ resistor (between points $P$ and $Q$ ) will be $0.2 A$

    $(2)$ If key $S _1$ is kept closed for long time such that capacitors are fully charged, the voltage difference between points $P$ and $Q$ will be $10 V$.

    $(3)$ At time $t =0$, the key $S _1$ is closed, the instantaneous current in the closed circuit will be $25 mA$.

    $(4)$ If key $S _1$ is kept closed for long time such that capacitors are fully charged, the voltage across the capacitors $C _1$ will be $4 V$.

    View Solution
  • 4
    Two identical thin rings each of radius $R$ meters are coaxially placed at a distance $R$ meters apart. If $Q_1$ coulomb and $Q_2$ coulomb are respectively the charges uniformly spread on the two rings, the work done in moving a charge $q$ from the centre of one ring to that of other is
    View Solution
  • 5
    In the figure below, what is the potential difference between the point $A$ and $B$ and between $B$ and $C$ respectively in steady state
    View Solution
  • 6
    The figure shows an experimental plot for discharging of a capacitor in an $R-C$ circuit. The time constant $\tau$ of this circuit lies between
    View Solution
  • 7
    A neutral spherical copper particle has a radius of $10 \,nm \left(1 \,nm =10^{-9} \,m \right)$. It gets charged by applying the voltage slowly adding one electron at a time. Then, the graph of the total charge on the particle versus the applied voltage would look like
    View Solution
  • 8
    In moving from $A$ to $B$ along an electric field line, the electric field does $6.4 \times {10^{ - 19}}\,J$ of work on an electron. If ${\phi _1},\;{\phi _2}$ are equipotential surfaces, then the potential difference $({V_C} - {V_A})$ is.....$V$
    View Solution
  • 9
    The radius of a charged metal sphere $(R)$ is $10\,cm$ and its potential is $300\,V$. Find the charge density on the surface of the sphere
    View Solution
  • 10
    A hollow conducting sphere of inner radius $R$ and outer radius $2R$ is given a charge $Q$ as shown in the figure, then the :
    View Solution