Advertisements
Advertisements
Question
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 ______.
Options
`(q_0Q)/(4piε_0a)`
`(q_0Q)/(8piε_0a)`
`(q_0Q)/(4piε_0a^2)`
`(q_0Q)/(8piε_0a^2)`
Advertisements
Solution
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 `underlinebb((q_0Q)/(8piε_0a))`.
Explanation:
q0 is moving around a circular path of radius a with a point charge Q at the centre of the circle. To calculate the kinetic energy of q0, we can put,
Electrostatic force due to charges = Centripetal force
`(kQq_0)/r^2 = (mv^2)/r`
The radius of the circle given in the question is a
`(kQq_0)/a^2 = (mv^2)/a`
`(kQq_0)/a = mv^2` ............(i)
Kinetic energy is equal to `1/2m"v"^2`.
Multiplying (i) by `1/2`,
`1/2(kQq_0)/a = 1/2mv^2`
`1/2 xx 1/((4piepsilon_0)) xx Q xx q_0/a = 1/2mv^2`
`(Qq_0)/(8piepsilon_0a) = 1/2mv^2`
APPEARS IN
RELATED QUESTIONS
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?
What is the work done by the field of a nucleus in a complete circular orbit of the electron? What if the orbit is elliptical?
We know that electric field is discontinuous across the surface of a charged conductor. Is electric potential also discontinuous there?
Obtain an expression for an intensity of electric field at a point at the end of position, i.e., the axial position of an electric dipole.
x
Two point charges of 10C each are kept at a distance of 3m in the vacuum. Calculate their electrostatic potential energy.
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?
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
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 ______.
