A point charge of Q coulombs is located at origin, if no other chrage is present what is the value of divergence of electric flux density at any point other than origin?ans.Q/[(4/3)Ɛπr2]Q/(4πr2)0Q Previous Marked for Review Next
Question
A point charge of Q coulombs is located at origin, if no other chrage is present what is the value of divergence of electric flux density at any point other than origin?ans.Q/[(4/3)Ɛπr2]Q/(4πr2)0Q Previous Marked for Review Next
Solution
The divergence of electric flux density (also known as electric field) at any point in space due to a point charge is given by Gauss's law. According to Gauss's law, the divergence of electric field E in a region of space is given by the charge density ρ divided by the permittivity of free space ε₀.
Mathematically, this is expressed as ∇ • E = ρ / ε₀.
In the case of a point charge Q located at the origin, the charge density ρ is zero at any point other than the origin because the charge is concentrated at the origin. Therefore, the divergence of the electric field at any point other than the origin is zero.
So, the answer to your question is 0.
Similar Questions
For the volume charge density ρ, the divergence of the electric field intensity will be equal to Select one:a. ρv / ε02 b. ε02ρv c. ε0 ρv d. ρv / ε0
Two charges of 5Q and −2Q are situated at the points (3a,0) and (−5a,0) respectively. The electric flux through a sphere of radius ' 4a ' having center at origin is :
Electric Flux Density is independent of material properties: Justify/Contradict.In the region of free space that includes the volume 2 < x,y,z < 3.D = [ (2y/z)ax + (2x/z)ay - (4xy/z2)az) ] C/m2(i) Evaluate the volume integral side of the divergence theorem for the volumedefined by 2 < x,y,z < 3
An electric charge q is placed at one of the corner points of a cube of side a. What will bethe net outwards flux coming out of the cube due to the point charge?
A charge q is placed at the centre of a cube, the magnitude of flux through one of its faces will be: ans. q q / 6 6qq / 3 Previous Marked for Review Next
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.