In a parallel plate capacitor of capacitance $C$, a metal sheet is inserted between the plates, parallel to them. If the thickness of the sheet is half of the separation between the plates. The capacitance will be
Medium
Download our app for free and get startedPlay store
(d) $C = \frac{{{\varepsilon _0}A}}{d}$ and $C' = \frac{{{\varepsilon _0}A}}{{\left\{ {d - \frac{d}{2} + \frac{{(d/2)}}{\infty }} \right\}}} = \frac{{2{\varepsilon _0}A}}{d}$
$==>$ $C' = 2C$
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 thin spherical conducting shell of radius $R$ has a charge $q$. Another charge $Q$ is placed at the centre of the shell. The electrostatic potential at a point $p$ at distance $\frac{R}{2}$ from the centre of the shell is
    View Solution
  • 2
    Consider two charged metallic spheres $S_{1}$ and $\mathrm{S}_{2}$ of radii $\mathrm{R}_{1}$ and $\mathrm{R}_{2},$ respectively. The electric $\left.\text { fields }\left.\mathrm{E}_{1} \text { (on } \mathrm{S}_{1}\right) \text { and } \mathrm{E}_{2} \text { (on } \mathrm{S}_{2}\right)$ on their surfaces are such that $\mathrm{E}_{1} / \mathrm{E}_{2}=\mathrm{R}_{1} / \mathrm{R}_{2} .$ Then the ratio $\left.\mathrm{V}_{1}\left(\mathrm{on}\; \mathrm{S}_{1}\right) / \mathrm{V}_{2} \text { (on } \mathrm{S}_{2}\right)$ of the electrostatic potentials on each sphere is 
    View Solution
  • 3
    The angle between the electric lines of force and the equipotential surface is
    View Solution
  • 4
    The charge across the capacitor in two different $RC$ circuits $1$ and $2$ are plotted as shown in figure. Identify the correct statement$(s)$ related to the $R_1, R_2, C_1 $ and $C_2$ of the two $RC$ circuits.
    View Solution
  • 5
    Three concentric metal shells $A, B$ and $C$ of respective radii $a, b$ and $c (a < b < c)$ have surface charge densities $+\sigma,-\sigma$ and $+\sigma$ respectively. The potential of shell $B$ is
    View Solution
  • 6
    In a uniform electric field, a cube of side $1\ cm$ is placed. The total energy stored in the cube is $8.85\ \mu J.$ The electric field is parallel to four of the faces of the cube. The electric flux through any one of the remaining two faces is.
    View Solution
  • 7
    A non uniformly shaped conductor is charged then at it's sharpest point
    View Solution
  • 8
    The distance between two plates of a capacitor is $d$ and its capacitance is $C _1$, when air is the medium between the plates. If a metal sheet of thickness $\frac{2 d }{3}$ and of same area as plate is introduced between the plates, the capacitance of the capacitor becomes $C _2$. The ratio $\frac{ C _2}{ C _1}$ is:
    View Solution
  • 9
    A parallel plate capacitor has a uniform electric field ' $\overrightarrow{\mathrm{E}}$ ' in the space between the plates. If the distance between the plates is ' $\mathrm{d}$ ' and the area of each plate is ' $A$ ', the energy stored in the capacitor is : $\left(\varepsilon_{0}=\right.$ permittivity of free space)
    View Solution
  • 10
    Charges $+q$ and $-q$ are placed at points $A$ and $B$ respectively which are a distance $2\,L$ apart, $C$ is  the midpoint between $A$ and $B.$ The work done in moving a charge $+Q$ along the semicircle $CRD$ is
    View Solution