As shown in the figure, a point charge $Q$ is placed at the centre of conducting spherical shell of inner radius a and outer radius $b$. The electric field due to charge $Q$ in three different regions I, II and III is given by: $( I : r < a , II : a < r < b , III : r > b )$
JEE MAIN 2023, Medium
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Electric field inside material of conductor is zero.
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A series combination of three capacitors of capacities $1\,\mu \,F,\,2\,\mu \,F$ and $8\,\mu \,F$ is connected to a battery of $e.m.f.$ $13\, volt$. The potential difference across the plates of $2\,\mu \,F$ capacitor will be.....$V$
Two condensers of capacities $1\,\mu F$ and $2\,\mu F$ are connected in series and the system is charged to $120\;volts$. Then the $P.D.$ on $1\,\mu F$ capacitor (in $volts$) will be
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 material filled between the plates of a parallel plate capacitor has resistivity $200 \Omega \, {m}$. The value of capacitance of the capacitor is $2\, {pF}$. If a potential difference of $40 \,{V}$ is applied across the plates of the capacitor, then the value of leakage current flowing out of the capacitor is
(given the value of relative permitivity of material is $50$ )
Charges are placed on the vertices of a square as shown. Let $E$ 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
Two equal charges $q$ of opposite sign separated by a distance $2a$ constitute an electric dipole of dipole moment $p$. If $P$ is a point at a distance $r$ from the centre of the dipole and the line joining the centre of the dipole to this point makes an angle $\theta $ with the axis of the dipole, then the potential at $P$ is given by $(r > > 2a)$ (Where $p = 2qa$)
A resistor '$R$' and $2\ μF$ capacitor in series is connected through a switch to $200\ V$ direct supply. Across the capacitor is a neon bulb that lights up at $120\ V$. Calculate the value of $R$ to make the bulb light up $5\ s$ after the switch has been closed. $(log_{10} 2.5 = 0.4)$.
The metal plate on the left in figure carries a charge $+q$. The metal plate on the right has a charge of $-2q$. What charge will flow through $S$ when it is closed, if central plate is initially neutral