Electric potential at an equatorial point of a small dipole with dipole moment $P$ ($r$, distance from the dipole) is
Easy
Download our app for free and get started
(a) Electric potential at equatorial point of a small dipole moment $=P(\text { at } r)$
As we have learned,
if, $r>>1$
$E_{a x i}=\frac{1}{4 \pi \epsilon_{0}} \frac{2 P}{r^{3}}$
$V_{a x i}=\frac{1}{4 \pi \epsilon_{0}} \frac{P}{r^{2}}$
where,
angle between $E_{a x i}$ and $P$ will be $0$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1Two condensers of capacity $0.3\,\mu F$ and $0.6\,\mu F$ respectively are connected in series. The combination is connected across a potential of $6\,volts$. The ratio of energies stored by the condensers will beView Solution
- 2The work done in carrying a charge of $5\,\mu \,C$ from a point $A$ to a point $B$ in an electric field is $10\,mJ$. The potential difference $({V_B} - {V_A})$ is thenView Solution
- 3$X $ and $Y$ are large, parallel conducting plates closed to each other. Each face has an area $A$. $X$ is given a charge $Q$. $Y$ is without any charge. Points $A, B$ and $C$ are as shown in figure.View Solution
- 4A 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, isView Solution
- 5A simple pendulum with a bob of mass $m = 1\ kg$ , charge $q = 5\mu C$ and string length $l = 1\ m$ is given a horizontal velocity $u$ in a uniform electric field $E = 2 × 10^6\ V/m$ at its bottom most point $A$ , as shown in figure. It is given a speed $u$ such that the particle leave the circular path at its topmost point $C$ . Find the speed $u$ . (Take $g = 10\ m/s^2$ )View Solution
- 6View SolutionIn the circuit shown in figure, four capacitors are connected to a battery. A capacitor is connected to a battery. The force of attraction between the plates when the separation between them is halved
- 7View SolutionThe equivalent capacitance of the combination shown is
- 8Two identical positive charges are placed on the $y$-axis at $y=-a$ and $y=+a$. The variation of $V$ (electric potential) along $x$-axis is shown by graphView Solution
- 9Figure given below shows two identical parallel plate capacitors connected to a battery with switch $S$ closed. The switch is now opened and the free space between the plate of capacitors is filled with a dielectric of dielectric constant $3$. What will be the ratio of total electrostatic energy stored in both capacitors before and after the introduction of the dielectricView Solution
- 10The capacity of a condenser in which a dielectric of dielectric constant $5$ has been used, is $C$. If the dielectric is replaced by another with dielectric constant $20$, the capacity will becomeView Solution