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
In a hydrogen atom, the electron and proton are bound at a distance of about 0.53 Å:
(a) Estimate the potential energy of the system in eV, taking the zero of the potential energy at infinite separation of the electron from proton.
(b) What is the minimum work required to free the electron, given that its kinetic energy in the orbit is half the magnitude of potential energy obtained in (a)?
(c) What are the answers to (a) and (b) above if the zero of potential energy is taken at 1.06 Å separation?
Three point charges +q each are kept at the vertices of an equilateral triangle of side 'l'. Determine the magnitude and sign of the charge to be kept at its centroid so that the charges at the vertices remain in equilibrium.
The electrostatic potential energy of two-point charges, 1 µC each, placed 1 meter apart in the air is:
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?
Three point charges +2, +2, and +5µC are placed respectively at the vertices A, B, C of an equilateral triangle of side 0.2 m. The magnitude of the force experienced by the charge at C is ______.
Two point charges placed in a medium of dielectric constant 5 are at a distance r between them, experience an electrostatic force 'F'. The electrostatic force between them in vacuum at the same distance r will be-
When one electron is taken towards the other electron, then the electric potential energy of the system ______
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
