As shown in the figure, a very thin sheet of aluminium is placed in between the plates of the condenser. Then the capacity 

A parallel plate air capacitor has a capacitance C. When it is half-filled with a dielectric of dielectric constant $5,$ the increase in the capacitance percentage will be

A parallel plate capacitor of capacitance $90 \mathrm{pF}$ is connected to a battery of emf $20 \mathrm{V}$. If a dielectric material of dielectric constant $K=\frac{5}{3}$ is inserted between the plates, the magnitude of the induced charge will be:

Two thin dielectric slabs of dielectric constants $k_{1}$ and $k_{2}\left(k_{1}<k_{2}\right)$ are inserted between plates of a parallel plate capacitor as shown in the figure. The variation of electric field $E$ between the plates. with distance $d$ as measured from plate $\mathrm{P}$ is correctly shown by

A charge of $40 \mu C$ is given to a capacitor having capacitance $\mathrm{C}=10 \mu \mathrm{F}$. The stored energy in ergs is 

A $12 \mathrm{pF}$ capacitor is connected to a $50 \mathrm{V}$ battery. How much electrostatic energy is stored in the capacitor? 

A system of $2$ capacitors of capacitance $2 \mu \mathrm{F}$ and $4 \mu \mathrm{F}$ is connected in series across a potential difference of $6 \mathrm{V}$. The electric charge and energy stored in the system are 

Four condensers, each of capacity $4 \mathrm{\mu F}$ are connected as shown in figure. $V_{\mathrm{P}}-V_{\mathrm{Q}}=15$ volt. The energy stored in the system is