At any point on the perpendicular bisector of | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Consider two charges $+q$ and $-q$ separated by a distance $2a$. Let $P$ be a point on the perpendicular bisector at a distance $x$ from the midpo

Vedclass · Accepted Answer

The electric potential is zero.

Vedclass · Answer

(B) Consider two charges $+q$ and $-q$ separated by a distance $2a$. Let $P$ be a point on the perpendicular bisector at a distance $x$ from the midpoint.The electric potential $V$ at point $P$ due to a charge $q$ at distance $r$ is given by $V = \frac{1}{4 \pi \varepsilon_0} \frac{q}{r}$.The distance of point $P$ from both charges $+q$ and $-q$ is $r = \sqrt{x^2 + a^2}$.The potential due to $+q$ is $V_1 = \frac{1}{4 \pi \varepsilon_0} \frac{q}{\sqrt{x^2 + a^2}}$.The potential due to $-q$ is $V_2 = -\frac{1}{4 \pi \varepsilon_0} \frac{q}{\sqrt{x^2 + a^2}}$.The total electric potential at point $P$ is $V = V_1 + V_2 = \frac{1}{4 \pi \varepsilon_0} \frac{q}{\sqrt{x^2 + a^2}} - \frac{1}{4 \pi \varepsilon_0} \frac{q}{\sqrt{x^2 + a^2}} = 0$.Thus,the electric potential at any point on the perpendicular bisector of an electric dipole is zero.

At any point on the perpendicular bisector of the line joining two equal and opposite charges,which of the following is true?

Similar Questions

Two point charges $+q$ and $-q$ are held fixed at $(-d, 0)$ and $(d, 0)$ respectively of an $x-y$ coordinate system. Then:

An electric dipole is placed at an angle of $30^o$ to a non-uniform electric field. The dipole will experience:

An electric dipole with dipole moment $2 \times 10^{-10} \text{ C m}$ is aligned at an angle $30^{\circ}$ with the direction of a uniform electric field of $10^4 \text{ N C}^{-1}$. The magnitude of the torque acting on the dipole is:

An electric dipole is situated in an electric field of uniform intensity $E$ whose dipole moment is $p$ and moment of inertia is $I$. If the dipole is displaced slightly from the equilibrium position,then the angular frequency of its oscillations is

An electric dipole of length $4 \ cm$ is placed with its axis making an angle of $60^{\circ}$ with a uniform electric field. It experiences a torque of $4 \sqrt{3} \ Nm$. Calculate the magnitude of the electric field. (The dipole has charges $\pm 8 \ nC$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module