Energy per unit volume for a capacitor having area $A$ and separation $d$ kept at potential difference $V$ is given by
  • A$\frac{Q^{2}}{2 C}$
  • B$\frac{1}{2} C V^{2}$
  • C$\frac{1}{2 \varepsilon_{0}} \frac{V^{2}}{d^{2}} $
  • D$\frac{1}{2} \varepsilon_{0} \frac{V^{2}}{d^{2}}$
AIPMT 2001, Medium
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
    Which one statement is correct ? A parallel plate air condenser is connected with a battery. Its charge, potential, electric field and energy are ${Q_o},\;{V_o},\;{E_o}$ and ${U_o}$ respectively. In order to fill the complete space between the plates a dielectric slab is inserted, the battery is still connected. Now the corresponding values $Q,\;V,\;E$ and $U$ are in relation with the initially stated as
    View Solution
  • 2
    The charge across the capacitor in two different $RC$ circuits $1$ and $2$ are plotted as shown in figure. Choose the correct statement $(s)$ related to the two circuits.
    View Solution
  • 3
    Assume that an electric field $\vec E = 30{x^2}\hat i$ exists in space. Then the potential difference $V_A-V_O$ where $V_O$ is the potential at the origin and $V_A$ the potential at $x = 2\ m$ is....$V$
    View Solution
  • 4
    Two parallel large thin metal sheets have equal surface charge densities $\left(\sigma=26.4 \times 10^{-12} C / m ^{2}\right)$ of same signs. The electric field between these sheet is
    View Solution
  • 5
    The capacity of a condenser is $4 \times {10^{ - 6}}$ farad and its potential is $100\,\,volts$. The energy released on discharging it fully will be.......$Joule$
    View Solution
  • 6
    Condenser $A$ has a capacity of $15\,\mu F$ when it is filled with a medium of dielectric constant $15$. Another condenser $B$ has a capacity of $1\,\mu F$ with air between the plates. Both are charged separately by a battery of $100\;V$. After charging, both are connected in parallel without the battery and the dielectric medium being removed. The common potential now is.....$V$
    View Solution
  • 7
    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
    View Solution
  • 8
    A capacitor is charged by using a battery which is then disconnected. A dielectric slab is then slipped between the plates, which results in
    View Solution
  • 9
    The figure shows a diagonal symmetric arrangement of capacitors and a battery.Identify the correct statements.
    View Solution
  • 10
    The work done in carrying a charge of $5\,\mu \,C$ from a point $A$ to a point $B$ in an electric field is $10\,mJ$. The potential difference $({V_B} - {V_A})$ is then
    View Solution