Advertisements
Advertisements
प्रश्न
Derive an expression for the intensity of electric field at a point in broadside position or on [4)
an equatorial line of an electric dipole.
Advertisements
उत्तर
The electric field at a point, P due to an electric dipole.Due to the positive charge, the positive test charge will experience repulsive force whereas due to negative charge test charge will experience the attraction. Hence,
`|E_+| = 1/(4piin_0) q/(r^2 + a^2)`
`|E_-| = 1/(4piin_0) q/(r^2 + a^2)`
`E_R = E_+cos theta + E_- cos theta`
`= 1/(4piin_o) (2q)/(r^2 + a^2) . cos theta`
`= 1/(4piin_0) (2p)/(r^2 + a^2) . (q/(r^2 + a^2)^(1/2))`
`E_R = 1/()4piin_0 (2q xx a)/(r^2 + a^2)^(3/2) = 1/(4piin_0) p/(r^2 + a^2)^(3/2)`
if r >>> a, then
`E_R = 1/(4piin_0) p/r^3`
APPEARS IN
संबंधित प्रश्न
- Define torque acting on a dipole of dipole moment \[\vec{p}\] placed in a uniform electric field \[\vec{E}\] Express it in the vector from and point out the direction along which it acts. Express it in the vector from and point out the direction along which it acts.
- What happens if the field is non-uniform?
- What would happen if the external field
\[\vec{E}\] is increasing (i) parallel to \[\vec{p}\] and (ii) anti-parallel to \[\vec{p}\]?
Define dipole moment of an electric dipole. Is it a scalar or a vector?
Two particles, carrying charges −q and +q and and of mass m each, are fixed at the ends of a light rod of length a to form a dipole. The rod is clamped at an end and is placed in a uniform electric field E with the axis of the dipole along the electric field. The rod is slightly tilted and then released. Neglecting gravity, find the time period of small oscillations.
Two-point charges Q1 = 400 μC and Q2 = 100 μC are kept fixed, 60 cm apart in a vacuum. Find the intensity of the electric field at the midpoint of the line joining Q1 and Q2.
Two charges + 3.2 x 10-19 C and --3.2 x 10-19 C placed at 2.4 Å apart to form an electric dipole. lt is placed in a uniform electric field of intensity 4 x 105 volt/m. The electric dipole moment is ______.
When an electric dipole p is placed in a uniform electric field E then at what angle the value of torque will be maximum?
The region surrounding a stationary electric dipole has ______
Arrangement of an oxygen ion and two hydrogen ions in a water molecule is shown in the figure below.
Calculate the electric dipole moment of a water molecule. Express your answer in terms of e (charge on hydrogen ions), l and θ.
