Question:
The potential at a point P due to an electric dipole is $1.8 \times 10^5 \, V$. If P is at a distance of 50 cm apart from the centre O of the dipole and if CP makes an angle 60? with the positive side of the axial line of the dipole, what is the moment of the dipole?
The potential at a point P due to an electric dipole is $1.8 \times 10^5 \, V$. If P is at a distance of 50 cm apart from the centre O of the dipole and if CP makes an angle 60? with the positive side of the axial line of the dipole, what is the moment of the dipole?
Updated On: Jul 7, 2022
- 10 C - m
- $10^{-3} \, C - m$
- $10^{-4} \, C - m$
- $10^{-5} \, C - m$
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
$V = \frac{1}{4\pi\varepsilon_{0}} \frac{ p \cos\theta}{r^{2}}$
Here, $ V = 1.8 \times10^{5} V , \theta =60^{\circ} $
$r =50 \times10^{-2} = 0.5 m$
$ \therefore 1.8 \times10^{5} = 9 \times10^{9} \times\frac{p\cos60^{\circ}}{\left(0.5\right)^{2}} $
or $p = \frac{1.8 \times10^{5} \times0.25 \times2}{9 \times10^{9}} = 10^{-5} C - m $
Was this answer helpful?
0
0
Top Questions on Electric Dipole
Charges are uniformly spread on the surface of a conducting sphere. The electric field from the center of the sphere in a point outside the sphere varies with distance \( r \) from the center as
- KCET - 2025
- Physics
- Electric Dipole
- An electric dipole of mass \( m \), charge \( q \), and length \( l \) is placed in a uniform electric field \( E = E_0 \hat{i} \). When the dipole is rotated slightly from its equilibrium position and released, the time period of its oscillations will be:
- JEE Main - 2025
- Physics
- Electric Dipole
- An electric dipole of dipole moment \(6 \times 10^{-6} \) Cm is placed in a uniform electric field of magnitude \(10^6\) V/m. Initially, the dipole moment is parallel to the electric field. The work that needs to be done on the dipole to make its dipole moment opposite to the field will be ________________________ J.
- JEE Main - 2025
- Physics
- Electric Dipole
- A square shaped aluminium coin weighs 0.75 g and its diagonal measures 14 mm. It has equal amounts of positive and negative charges. Suppose those equal charges were concentrated in two charges (+Q and -Q) that are separated by a distance equal to the side of the coin, the dipole moment of the dipole is:
- COMEDK UGET - 2024
- Physics
- Electric Dipole
- A neutral water molecule is placed in an electric field $ E = 2.5 \times 10^4 \, \text{N/C} $. The work done to rotate it by 180° is $ 5 \times 10^{-25} \, \text{J} $. Find the approximate separation of the center of charges.
- COMEDK UGET - 2024
- Physics
- Electric Dipole
View More Questions
Notes on Electric Dipole
- Electric Dipole Physics
- Define electric dipole and electric dipole moment que phy
- An electric dipole is placed in a uniform electric field que phy
- An electric dipole of dipole moment p is lying along uniform electric field E que phy
- When an electric dipole is placed in a non uniform electric field what does the dipole experience que phy
- An electric dipole of dipole moment vec p is placed in a uniform electric field vec E que phy
Concepts Used:
Electric Dipole
An electric dipole is a pair of equal and opposite point charges -q and q, separated by a distance of 2a. The direction from q to -q is said to be the direction in space.
p=q×2a
where,
p denotes the electric dipole moment, pointing from the negative charge to the positive charge.
Force Applied on Electric Dipole
