Three capacitors of capacitance $1\ \mu F$, $2 \ \mu F$ and $3\ \mu F$ are connected in series and a potential difference of $11 V$ is applied across the combination. Then, the potential difference across the plates of $1\ \mu F$ capacitor is......$V$
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A spherical portion has been removed from a solid sphere having a charge distributed uniformly in its volume in the figure. The electric field inside the emptied space is
In the circuit shown in the figure, the total charge in $750\, \mu C$ and the voltage across capacitor $C _{2}$ is $20\, V$. Then the charge on capacitor $C _{2}$ is$....\mu C$
A capacitor with plate separation $d$ is charged to $V$ volts. The battery is disconnected and a dielectric slab of thickness $\frac{d}{2}$ and dielectric constant ' $2$ ' is inserted between the plates. The potential difference across its terminals becomes
Two capacitors, each having capacitance $40\,\mu F$ are connected in series. The space between one of the capacitors is filled with dielectric material of dielectric constant $K$ such that the equivalence capacitance of the system became $24\,\mu F$. The value of $K$ will be.
Consider two points $1$ and $2$ in a region outside a charged sphere. Two points are not very far away from the sphere. If $E$ and $V$ represent the electric field vector and the electric potential, which of the following is not possible
Two charges of $4\,\mu C$ each are placed at the corners $A$ and $B $ of an equilateral triangle of side length $0.2\, m $ in air. The electric potential at $C$ is $\left[ {\frac{1}{{4\pi {\varepsilon _0}}} = 9 \times {{10}^9}\,\frac{{N{\rm{ - }}{m^2}}}{{{C^2}}}} \right]$
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