MCQ
Two capacitors having capacitance $C _{1}$ and $C _{2}$ respectively are connected as shown in figure. Initially, capacitor $C _{1}$ is charged to a potential difference $V$ volt by a battery. The battery is then removed and the charged capacitor $C_{1}$ is now connected to uncharged capacitor $C _{2}$ by closing the switch $S$. The amount of charge on the capacitor $C _{2}$, after equilibrium is
  • $\frac{ C _{1} C _{2}}{\left( C _{1}+ C _{2}\right)} V$
  • B
    $\frac{\left( C _{1}+ C _{2}\right)}{ C _{1} C _{2}} V$
  • C
    $\left( C _{1}+ C _{2}\right) V$
  • D
    $\left( C _{1}- C _{2}\right) V$

Answer

Correct option: A.
$\frac{ C _{1} C _{2}}{\left( C _{1}+ C _{2}\right)} V$
a
Charge on capacitor $C _{2}$

$=\frac{ C _{2} \times Q _{\text {total }}}{ C _{\text {total }}}=\frac{ C _{2}\left[ C _{1} V \right]}{ C _{1}+ C _{2}}=\frac{ C _{1} C _{2} V }{ C _{1}+ C _{2}}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

A potentiometer wire is $100\,\, cm$ long and a constant potential difference is maintained across it. Two cells are connected in series first to support one another and then in opposite direction. The balance points are obtained at $50\,\, cm$ and $10\,\, cm$ from the positive end of the wire in the two cases. The ratio of emf's is 
Which of the following colourful patterns is due to diffraction of light?
If a thermometer reads freezing point of water as $20°C$ and boiling point as $150°C$, how much thermometer read when the actual temperature is $60°C$  .......... $^oC$ 
The dimensions of magnetic flux are
The emitter-base junction of a transistor is …… biased while the collector-base junction is ……. biased
If pressure of a gas contained in a closed vessel is increased by $0.4\%$ when heated by $1°C,$ the initial temperature must be
A $T$ shaped object with dimensions shown in the figure, is lying a smooth floor. A force $'\vec F'$ is applied at the point $P$ parallel to $AB,$ such that the object has only the translational motion without rotation. Find the location of $P$ with respect to $C$
An electric bulb rated as $100 \mathrm{~W}-220 \mathrm{~V}$ is connected to an ac source of rms voltage 220 V . The peak value of current through the bulb is :
A spherical drop of water has radius $1\, mm$ If surface tension of water is $70 \times {10^{ - 3}}\,N/m$ difference of pressures between inside and out side of the spherical drop is ........ $N/{m^{ - 2}}$
A partition divides a container having insulated walls into two compartments $I$ and $II$. the same gas fills the two compartments. The ratio of the number of molecules in compartments $I$ and $II$ is