An oil drop having charge $2e$ is kept stationary between two parallel horizontal plates $2.0\, cm$ apart when a potential difference of $12000\, volts$ is applied between them. If the density of oil is $900 \,kg/m^3$, the radius of the drop will be
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Two capacitors of $2$ $\mu F$ and $3$ $\mu F$ are charged to $150$ $volt$ and $120$ $volt$ respectively. The plates of capacitor are connected as shown in the figure. A discharged capacitor of capacity $1.5$ $\mu F$ falls to the free ends of the wire. Then
A network of four capacitors of capacity equal to ${C_1} = C,\,\,{C_2} = 2C,\,{C_3} = 3C$ and ${C_4} = 4C$ are conducted in a battery as shown in the figure. The ratio of the charges on ${C_2}$ and ${C_4}$ is
The energy and capacity of a charged parallel plate capacitor are $U$ and $C$ respectively. Now a dielectric slab of $\in _r = 6$ is inserted in it then energy and capacity becomes (Assume charge on plates remains constant)
Two capacitors $A$ and $B$ are connected in series with a battery as shown in the figure. When the switch $S$ is closed and the two capacitors get charged fully, then
A $4\,\mu F$ condenser is connected in parallel to another condenser of $8\,\mu F$. Both the condensers are then connected in series with a $12\,\mu F$ condenser and charged to $20\;volts$. The charge on the plate of $4\,\mu F$ condenser is......$\mu C$
Two point dipoles of dipole moment ${\vec P_1}$ and ${\vec P_2}$ are at a distance $x$ from each other and ${\vec P_1}$ || ${\vec P_2}$. The force between the dipoles is
Two condensers, one of capacity $C$ and other of capacity $C/2$ are connected to a $V-$ volt battery, as shown in the figure. The work done in charging fully both the condensers is
Charges are placed on the vertices of a square as shown Let $\vec E$ be the electric field and $V$ the potential at the centre. If the charges on $A$ and $B$ are interchanged with those on $D$ and $C$ respectively, then