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प्रश्न
In which orientation, a dipole placed in a uniform electric field is in (i) stable, (ii) unstable equilibrium?
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उत्तर
A dipole placed in a uniform electric filed is in
Stable equilibrium when the electric field is directed along the direction of the dipole i.e., when `vecE` is parallel to`vecp`.
Unstable equilibrium when the electric filed is directed at an angle of 180 degrees with the direction of the dipole, i.e., when `vecE` is anti-parallel to`vecp`.
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संबंधित प्रश्न
An electric dipole of dipole moment`vecp` consists of point charges +q and −q separated by a distance 2a apart. Deduce the expression for the electric field `vecE` due to the dipole at a distance x from the centre of the dipole on its axial line in terms of the dipole moment `vecp`. Hence show that in the limit x>> a, `vecE->2vecp"/"(4piepsilon_0x^3)`
Find the resultant electric field due to an electric dipole of dipole moment, 2aq, (2a being the separation between the charges ±± q) at a point distant 'x' on its equator.
It is said that the separation between the two charges forming an electric dipole should be small. In comparison to what should this separation be small?
Three charges are arranged on the vertices of an equilateral triangle, as shown in the figure. Find the dipole moment of the combination.
A dipole is placed in an electric field as shown. In which direction will it move?
Two charges –q each are fixed separated by distance 2d. A third charge q of mass m placed at the mid-point is displaced slightly by x(x << d) perpendicular to the line joining the two fixed charged as shown in figure. Show that q will perform simple harmonic oscillation of time period.
`T = [(8pi^3 ε_0 md^3)/q^2]^(1/2)`
The electric dipole moment \[\vec{p}\] is defined mathematically as:
For a short dipole, the ratio of the electric field on the axial line to that on the equatorial line (at the same distance r) is:
