Advertisements
Advertisements
प्रश्न
Three-point charges Q, q and -q are kept at the vertices of an equilateral triangle of side L as shown in the figure. What is
- the electrostatic potential energy of the arrangement? and
- the potential at point D?
Advertisements
उत्तर
- The electrostatic potential energy of the arrangement.
U = `1/(4piepsi_0)[((Q) xx (-q))/L + ((-q)(q))/L + ((q)(Q))/L]`
= `1/(4piepsi_0.L)[-qQ - q^2 + qQ]`
U = `-q^2/(4piepsi_0.L)` 
The potential at point D.
`V_D = 1/(4piepsi_0)[((-q))/(L"/"2) + q/((L"/"2)) + Q/(Lsqrt3"/"2)]`
`V_D = 1/(4piepsi_0) . (2Q)/(sqrt(3)L)`
⇒ `V_D = Q/(2sqrt3piepsi_0L)`
APPEARS IN
संबंधित प्रश्न
A small test charge is released at rest at a point in an electrostatic field configuration. Will it travel along the field line passing through that point?
We know that electric field is discontinuous across the surface of a charged conductor. Is electric potential also discontinuous there?
Two point charges of 10C each are kept at a distance of 3m in the vacuum. Calculate their electrostatic potential energy.
Why must electrostatic field be normal to the surface at every point of a charged conductor?
A body moves from point A to B under the action of a force, varying in magnitude as shown in the figure. Force is expressed in newton and displacement in meter. What is the total work done?
If stretch in a spring of force constant k is tripled then the ratio of elastic potential energy in the two cases will be:
In a region of constant potential ______.
- the electric field is uniform
- the electric field is zero
- there can be no charge inside the region
- the electric field shall necessarily change if a charge is placed outside the region
A point charge q0 is moving along a circular path of radius a, with a point charge Q at the centre of the circle. The kinetic energy of q0 is ______.
An electric dipole with dipole moment 5 × 10−6 C m is aligned with the direction of a unifrom electric field of magnitude 4 × 105 N/C. The dipole is then rotated through an angle of 60° with respect to the electric field. The change in the potential energy of the dipole is ______.
