A dipole having dipole moment p is placed in front of a solid uncharged conducting sphere

English

Gujarati

Hindi

1. Electric Charges and Fields

normal

A dipole having dipole moment $p$ is placed in front of a solid uncharged conducting sphere are shown in the diagram. The net potential at point $A$ lying on the surface of the sphere is :-

A

$\frac{kp \cos \phi}{r^2 }$

B

$\frac{kp \cos^2 \phi}{r^2 }$

C

zero

D

$\frac{2kp \cos^2 \phi}{r^2 }$

Solution

$:$ If we want to find potential at $A$

$V_{A}=\frac{K_{p} \cos \phi}{r^{2}}$

$V_{A}=V_{0} \rightarrow$

$V_{0}=V_{\text {ind.}}+V_{\text {dipol.;}}$

$V_{i n d=0}$

$V_{0}=\frac{K_{p} \cos ^{2} \phi}{r^{2}}$

$V_{A}=V_{0}=\frac{K_{p} \cos ^{2} \phi}{r^{2}}$

Standard 12

Physics

Share

Similar Questions

Two charges ${q_1}$ and ${q_2}$ are placed $30\,\,cm$ apart, shown in the figure. A third charge ${q_3}$ is moved along the arc of a circle of radius $40\,cm$ from $C$ to $D$. The change in the potential energy of the system is $\frac{{{q_3}}}{{4\pi {\varepsilon _0}}}k$, where $k$ is

normal

Condenser Ahas a capacity of $15\ \mu F$ when it is filled with a medium of dielectric constant $15$. Another condenser $B$ has a capacity $1\ \mu F$ with air between the plates. Both are charged separately by a battery of $100\,V$ . After charging, both are connected in parallel without the battery and the dielectric material being removed. The common potential now is…….$V$

normal

Two condensers $C_1$ and $C_2$ in a circuit are joined as shown in figure. The potential of point $A$ is $V_1$ and that of $B$ is $V_2$. The potential of point $D$ will be

normal

A $600\; pF$ capacitor is charged by a $200\; V$ supply. It is then disconnected from the supply and is connected to another uncharged $600\; pF$ capacitor. How much electrostatic energy is lost in the process?

normal

A thin spherical conducting shell of radius $R$ has a charge $q$ . Another charge $Q$ is placed at the centre of the shell. The electrostatic potential at a point $P$ at a distance $R/2$ from the centre of the shell is

normal