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0 votes
0 answers
257 views

Electric field of electric dipole and gradient properties

I am trying to work out whether there is a way to calculate the electric field of a dipole from the following formula: $$\phi(\vec{r}) = -\vec{p} \cdot\vec{\nabla}\phi_0$$ Where $\phi_0$ is the ...
Mr Lolo's user avatar
  • 309
2 votes
3 answers
871 views

Line integral of a point charge

I am trying to teach myself Electrodynamics through self-study of Griffiths' Introduction to Electrodynamics, and I am having difficulty with a calculation that involves a line integral of a point ...
jackrodgers1554's user avatar
1 vote
1 answer
137 views

Other method for finding the equations of the electric field lines

I have an electric potential which, through separation of variables, can be written as $$\phi (x,y)= X(x) \cdot Y(y) =\sum_{n=0}^\infty Cn\cdot \cos(k_n x)\cdot \sinh (k_n y)$$ with $C_n $ and $k_n$ ...
Rye's user avatar
  • 548
1 vote
1 answer
252 views

Why did we take gradient outside the integral sign in Scalar potential derivation?

I tried to understand the reasoning given in it but I couldn't understand it. It says that "as the gradient operation involves x and not the integration variable x', it can be taken outside the ...
Haaran Ajgaonkar's user avatar
-3 votes
3 answers
1k views

Why is the electric potential on the surface of a sphere not infinite?

By using Gauss' Law, it can be shown that a uniformly charged hollow sphere can be treated as a point charge lying at its centre with a charge equal to that of the sphere. Owing to this fact, the ...
Anindya Mahajan's user avatar