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A capacitor of $10 \mu \mathrm{F}$ capacitance whose plates are separated by $10 \mathrm{~mm}$ through air and each plate has area $4 \mathrm{~cm}^2$ is now filled equally with two dielectric media of $\mathrm{K}_1=2, \mathrm{~K}_2=3$ respectively as shown in figure. If new force between the plates is $8 \mathrm{~N}$. The supply voltage is . . . .. . .V.
After the switch shown in figure $A$ is closed, there is current $i$ through resistance $R$. Figure $B$ indicates current variation curves $a, b, c$ and $d$ for four sets of values of $R$ and capacitance $C$:
$(i)$ $R_0$ and $C_0$, $(ii)$ $2R_0$ and $C_0$,
$(iii)$ $R_0$ and $2C_0$, $(iv)$ $2R_0$ and $2C_0$.
Which set goes with which curve?
An air filled parallel plate capacitor has capacity $C$. If distance between plates is doubled and it is immersed in a liquid then capacity becomes twice. Dielectric constant of the liquid is
Three capacitors of $2.0,\;3.0$ and $6.0\;\mu F$ are connected in series to a $10\,V$ source. The charge on the $3.0\,\mu F$ capacitor is........$\mu C$
An infinite number of charges each numerically equal to q and of the same sign are placed along the $x-$ axis at $x = 1,2,4,8.... \,metres$. Then the electric potential at $x = 0$ due to this set of charges is
Two conducting hollow sphere of radius $R$ and $3R$ are found to have $Q$ charge on outer surface when both are connected with a long wire and $q'$ charge is kept at the centre of bigger sphere. Then which one is true
A condenser having a capacity $2.0$ micro farad is charged to $200\;volts$ and then the plates of the capacitor are connected to a resistance wire. The heat produced in joules will be
A problem of practical interest is to make a beam of electrons turn at $90^o$ corner. This can be done with the electric field present between the parallel plates as shown in the figure. An electron with kinetic energy $8.0 × 10^{-17}\ J$ enters through a small hole in the bottom plate. The strength of electric field that is needed if the electron is to emerge from an exit hole $1.0\ cm$ away from the entrance hole, traveling at right angles to its original direction is $y × 10^5\ N/C$ . The value of $y$ is
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......$\mu C$