Advertisements
Advertisements
Question
Two particles A and B, of opposite charges 2.0 × 10−6 C and −2.0 × 10−6 C, are placed at a separation of 1.0 cm. Calculate the electric field at a point on the perpendicular bisector of the dipole and 1.0 m away from the centre.
Advertisements
Solution
Given:
Magnitude of charge, q = 2.0 × 10−6 C
Separation between the charges, l = 1.0 cm
Electric field at at a point on the perpendicular bisector of the dipole,
\[E = \frac{1}{4\pi \epsilon_0}\frac{P}{r '^3}\]
\[E = \frac{9 \times {10}^9 \times 2 \times {10}^{- 8}}{1^3}\]
E = 180 N/C
APPEARS IN
RELATED QUESTIONS
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)`
An electric dipole of length 4 cm, when placed with its axis making an angle of 60° with a uniform electric field, experiences a torque of `4sqrt3`Nm. Calculate the potential energy of the dipole, if it has charge ±8 nC
Drive the expression for electric field at a point on the equatorial line of an electric dipole.
Derive the expression for the electric potential due to an electric dipole at a point on its axial line.
Define electric dipole moment. Is it a scalar or a vector? Derive the expression for the electric field of a dipole at a point on the equatorial plane of the dipole.
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?
An electric dipole is placed at the centre of a sphere. Mark the correct options.
(a) The flux of the electric field through the sphere is zero.
(b) The electric field is zero at every point of the sphere.
(c) The electric field is not zero anywhere on the sphere.
(d) The electric field is zero on a circle on the sphere.
Two particles A and B, of opposite charges 2.0 × 10−6 C and −2.0 × 10−6 C, are placed at a separation of 1.0 cm.
Three charges are arranged on the vertices of an equilateral triangle, as shown in the figure. Find the dipole moment of the combination.
An electric dipole consists of two opposite charges each 0.05 µC separated by 30 mm. The dipole is placed in an unifom1 external electric field of 106 NC-1. The maximum torque exerted by the field on the dipole is ______
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 ______.
The electric field at a point on the equatorial plane at a distance r from the centre of a dipole having dipole moment `vec "p"` is given by, (r >> separation of two charges forming the dipole, `epsilon_0 - ` permittivity of free space) ____________.
A short electric dipole bas a dipole moment of 16 x 10-9 C m. The electric potential due to the dipole at a point at a distance of 0.6 m from the centre of the dipole, situated on a line making an angle of 60° with the dipole axis is: ____________. `(1/(4piepsilon_0) = 9 xx 10^9 "Nm"^2// "C"^2)`
Electric charges q, q, - 2q are placed at the comers of an equilateral triangle ABC of side l. The magnitude of electric dipole moment of the system is ____________.
An electric dipole of moment `vec"p"` is placed normal to the lines of force of electric intensity `vec"E"`, then the work done in deflecting it through an angle of 180° is:
The region surrounding a stationary electric dipole has ______
The electric potential V as a function of distance X is shown in the figure.
The graph of the magnitude of electric field intensity E as a function of X is ______.
What work must be done to rotate an electric dipole through an angle θ with the electric field, if an electric dipole of moment p is placed in a uniform electric field E with p parallel to E?
Show that intensity of electric field at a point in broadside position of an electric dipole is given by:
E = `(1/(4 pi epsilon_0)) p/((r^2 + l^2)^(3//2))`
Where the terms have their usual meaning.
