Home › Tamil Nadu HSC (Class 12) › Physics › Electrostatics › On the axial line of a short dipole the electric…
On the axial line of a short dipole the electric field is $E_a$, and on the equatorial line at the same distance it is $E_e$. Then
A$E_a = 2E_e$
B$E_a = E_e$
C$E_a = \tfrac{1}{2}E_e$
D$E_a = 4E_e$
Answer & Solution
Correct answer: A. $E_a = 2E_e$
1. For a short dipole, axial field $E_a = \dfrac{1}{4\pi\varepsilon_0}\dfrac{2p}{r^3}$.
2. Equatorial field $E_e = \dfrac{1}{4\pi\varepsilon_0}\dfrac{p}{r^3}$.
3. Dividing, $E_a = 2E_e$ (and the two point in opposite directions relative to $\vec{p}$).
_Source: Samacheer Kalvi Class 12 Physics Vol.1, Unit 1 'Electrostatics', §1.4.2 (important inferences)_
Related questions
How is the magnitude of the electric field at a point defined?Two positive charges of equal magnitude are fixed a short distance apart. A positive test An isolated negative point charge sits alone in space. Which way do its electric field linThe separation between two point charges is doubled while the charges themselves stay the Two small spheres both carry negative charge and are held near each other. What do they doExcess charge is placed on a metal sphere standing on an insulating stand. Where does thatHow does a neutral object become negatively charged?A charge $q$ is enclosed by a closed surface immersed in a medium of relative permittivity