A linear charge having linear charge density $\lambda$, penetrates a cube diagonally and then it penetrate a sphere diametrically as shown. What will be the ratio of flux coming cut of cube and sphere
$\frac{1}{2}$
$\frac{2}{{\sqrt 3 }}$
$\frac{{\sqrt 3 }}{2}$
$\frac{1}{1}$
In the circuit, shown in the figure, the effective capacitance between $A$ and $B$ is......$\mu F$
A parallel plate capacitor has plates with area $A$ and separation $d$. A battery charges the plates to a potential difference $V_0$. The battery is then disconnected and a dielectric slab of thickness $d$ is introduced. The ratio of energy stored in the capacitor before and after slab is introduced, is
Two parallel metal plates having charges $+ Q$ and $-Q$ face each other at a certain distance between them. If the plates are now dipped in kerosene oil tank, the electric field between the plates will
What is the equivalent capacitance of the system of capacitors between $A$ and $B$ :-
A parallel plate capacitor has circular plates of $10\, cm$ radius separated by an air-gap of $1\, mm$ . It is charged by connecting the plates to a $100\, volt$ battery. Then the change in energy stored in the capacitor when the plates are moved to a distance of $1\, cm$ and the plates are maintained in connection with the battery, is