Find the charge on the capacitor $C$ in the given circuit .................. $\mu C$
Medium
Download our app for free and get startedPlay store
The capacitor branch will not allow charge to pass through it.

$\therefore $ Current in the circuit $\mathrm{I}=\frac{12}{6+2}=\frac{3}{2} \mathrm{\,amp}$

Potential difference across $2 \,\mu \mathrm{F}$ is same as across $6\, \Omega$ resistance.

So, potential difference across capacitor of $2\, \mu \mathrm{F}$

$=6 \times \frac{3}{2}=9$ $\mathrm{volt}$

$\therefore $ Charge on capacitor $=2 \times 10^{-6} \times 9\, \mu C=18\, \mu C$

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 given figure shows $a$ network of resistances and $a$ battery. Identify the correct statement $(s)$
    View Solution
  • 2
    For a metallic wire, the ratio $V/i$ ($V = $ the applied potential difference, $i$ = current flowing) is
    View Solution
  • 3
    Two wires of same metal have the same length but their cross-sections are in the ratio $3:1$. They are joined in series. The resistance of the thicker wire is $10\,\Omega $. The total resistance of the combination will be ............. $\Omega$
    View Solution
  • 4
    Two sources of equal $emf$ are connected to an external resistance $R$. The internal resistances of the two sources are ${R_1}$ and ${R_2}\,({R_2} > {R_1})$. If the potential difference across the source having internal resistance ${R_2}$ is zero, then
    View Solution
  • 5
    The figure shows a network of resistances in which the point $A$ is earthed. The current through the $3\,\Omega$ resistor is
    View Solution
  • 6
    A cell of constant $e.m.f.$ first connected to a resistance ${R_1}$ and then connected to a resistance ${R_2}$. If power delivered in both cases is then the internal resistance of the cell is
    View Solution
  • 7
    Tend identical cells each of potential $E$ and internal resistance $r$ are connected in series to form a closed circuit. An ideal voltmeter connected across three cells, will read $...........E$
    View Solution
  • 8
    In a potentiometer circuit there is a cell of $e.m.f.$ $2\, volt$, a resistance of $5\, ohm$ and a wire of uniform thickness of length $1000\, cm$ and resistance $15\, ohm$. The potential gradient in the wire is
    View Solution
  • 9
    How much energy in kilowatt hour is consumed in operating ten $50\, watt$ bulbs for $10$ hours per day in a month ($30$ days). 
    View Solution
  • 10
    Across a metallic conductor of non-uniform cross section a constant potential difference is applied. The quantity which remains constant along the conductor is
    View Solution