A parallel plate capacitor has $1\,\mu F$ capacitance. One of its two plates is given $+2\,\mu C$ charge and the other plate, $+4\,\mu C$ charge. The potential difference developed across the capacitor is......$V$
JEE MAIN 2019, Medium
Download our app for free and get startedPlay store
Charges at inner plates are $1\, \mu \mathrm{C}$ and $-1\, \mu \mathrm{C}$.

$\therefore $ Potential difference across capacitor $ = \frac{q}{c} = \frac{{1\,\mu C}}{{1\,\mu F}} = \frac{{1 \times {{10}^{ - 6}}\,{\text{C}}}}{{1 \times {{10}^{ - 8}}\,{\text{Farad}}}} = 1{\mkern 1mu} {\text{V}}$

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
    If two conducting spheres are separately charged and then brought in contact
    View Solution
  • 2
    The potential gradient at which the dielectric of a condenser just gets punctured is called
    View Solution
  • 3
    If ${q}_{{f}}$ is the free charge on the capacitor plates and ${q}_{{b}}$ is the bound charge on the dielectric slab of dielectric constant $k$ placed between the capacitor plates, then bound charge $q_{b}$ can be expressed as 
    View Solution
  • 4
    What is the equivalent capacitance of the system of capacitors between $A$ $\&$ $B$ 
    View Solution
  • 5
    A parallel plate capacitor has plate of length $'l',$ width $'w'$ and separation of plates is $'d'.$ It is connected to a battery of emf $V$. A dielectric slab of the same thickness '$d$' and of dielectric constant $k =4$ is being inserted between the plates of the capacitor. At what length of the slab inside plates, will be energy stored in the capacitor be two times the initial energy stored$?$
    View Solution
  • 6
    A parallel palate capacitor with square plates is filled with four dielectrics of dielectric constants $K_1, K_2, K_3, K_4$ arranged as shown in the figure. The effective dielectric constant $K$ will be
    View Solution
  • 7
    During charging a capacitor variation of potential $V$ of the capacitor with time $t$ is shown as
    View Solution
  • 8
    The variation of electrostatic potential with radial distance $r$ from the centre of a positively charged metallic thin shell of radius $R$ is given by the graph
    View Solution
  • 9
    Variation of electrostatic potential along $x$-direction is shown in the graph. The correct statement about electric field is
    View Solution
  • 10
    A parallel plate capacitor with air between the plate has a capacitance of $15 pF$. The separation between the plate becomes twice and the space between them is filled with a medium of dielectric constant $3.5.$ Then the capacitance becomes $\frac{ x }{4}\,pF$.The value of $x$ is $............$
    View Solution