Capacitance

A capacitor of capacitance $9 \mathrm{nF}$ having dielectric slab of $\varepsilon_r=2.4$, dielectric strength $20 \mathrm{MV} \mathrm{m}^{-1}$, and potential difference $=20 \mathrm{~V}$. Calculate area of plates?

Calculate the charge on capacitor in steady state?

Assertion : The force between the plates of a parallel plate capacitor is proportional to charge on it. Reason : Electric force is equal to charge per unit area.

A fully charged parallel plate capacitor of $1 \mu \mathrm{F}$ capacity is discharging through a resistor. If the energy of the capacitor reduces to half in one second then the value of resistance will be

A $5 \mu \mathrm{F}$ capacitor is charged by being connected to a $3 \mathrm{~V}$ battery. The battery is then disconnected. If the resistance of the dielectric material between the capacitor plates is $10^9 \Omega$,…

The diameter of the plate of a parallel plate condenser is $6 \mathrm{~cm}$. If its capacity is equal to that of a sphere of diameter $200 \mathrm{~cm}$, the separation between the plates of the condenser is

Find the voltage drop across a capacitor connected with a resistance and a battery of $60 \mathrm{~V}$ in series after a long time?

Energy stored in between the plates of parallel plate capacitor of area $A$, separated by distance $d$ is

$$ \text { What would be the voltage across } C_3 \text { ? } $$

A conducting sphere of radius $R$ carrying charge $Q$ lies inside an uncharged conducting shell of radius $2 R$. If they are joined by a metal wire, the amount of heat that will be produced is

A $40 \mu \mathrm{F}$ capacitor in a defibrillator is charged to $3000 \mathrm{~V}$. The energy stored in the capacitor is sent through the patient during a pulse of duration $2 \mathrm{~ms}$. The power delivered to the…

When the capacitor is fully charged then find the current drawn from the cell.