The capacity of a parallel plate condenser is $10\,\mu \,F$, when the distance between its plates is $8 \,cm$. If the distance between the plates is reduced to $4\, cm$, then the capacity of this parallel plate condenser will be.........$\mu \,F$
Medium
Download our app for free and get startedPlay store
$C \propto \frac{1}{d} \Rightarrow \frac{{{C_1}}}{{{C_2}}} = \frac{{{d_2}}}{{{d_1}}}$ so $\frac{{{C_2}}}{{10}} = \frac{8}{4} \Rightarrow {C_2} = 20\,\mu F$
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 capacitor of capacitance $\mathrm{C}$ and potential $\mathrm{V}$ has energy $E$. It is connected to another capacitor of capacitance $2 \mathrm{C}$ and potential $2 \mathrm{~V}$. Then the loss of energy is $\frac{x}{3} E$, where $\mathrm{x}$ is____________.
    View Solution
  • 2
    Two insulating plates are both uniformly charged in such a way that the potential difference between them is $V_2 - V_1 = 20\ V$. (i.e., plate $2$ is at a higher potential). The plates are separated by $d = 0.1\ m$ and can be treated as infinitely large. An electron is released from rest on the inner surface of plate $1. $ What is its speed when it hits plate $2?$
    $(e = 1.6 \times 10^{-19}\ C, m_e= 9.11 \times 10^{-31}\ kg)$
    View Solution
  • 3
    Ten capacitor are joined in parallel and charged with a battery up to a potential $V$. They are then disconnected from battery and joined again in series then the potential of this combination will be.......$V$
    View Solution
  • 4
    Which of the following statements is true about the flow of electrons in an electric circuit?
    View Solution
  • 5
    In a region, if electric field is defined as $\vec E = \left( {\hat i + 2\hat j + \hat k} \right)\,V/m$ , then the potential difference between two points $A (0, 0, 0)$ and $B (2, 3, 4)$ in that region, is ......$V$
    View Solution
  • 6
    Three identical charged capacitors each of capacitance $5 \,\mu F$ are connected as shown in figure. Potential difference across capacitor $(3)$, long time after the switches $K_1$ and $K_2$ are is closed, is ............ $V$
    View Solution
  • 7
    In the given circuit, the charge on $4\, \mu F$ capacitor will be.....$\mu C$
    View Solution
  • 8
    The insulated spheres of radii ${R_1}$ and ${R_2}$ having charges ${Q_1}$and ${Q_2}$ respectively are connected to each other. There is
    View Solution
  • 9
    $512$ identical drops of mercury are charged to a potential of $2\, V$ each. The drops are joined to form a single drop. The potential of this drop is ......... $V.$
    View Solution
  • 10
    Some charge is being given to a conductor. Then its potential is
    View Solution