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2 votes
1 answer
187 views

Calculating the average of the square of the magnitude of an electric field

Let the sinusoidal electric field polarised in the $\hat{x}$ direction be $\overline{\mathcal{E}}(x, y, z, t) = \hat{x}A(x, y, z)\cos(\omega t + \phi)$, where $A$ is the amplitude, $\omega$ is the ...
The Pointer's user avatar
  • 4,322
1 vote
0 answers
35 views

Deriving force between continuous distributions of two volume charges without using infinitesimals

We know that force between two point charges is: $$\vec{F}=k\ q\ q'\ \dfrac{\hat{r}}{r^2}\tag1$$ From here how shall we derive the equation for force between continuous distributions of two volume ...
Joe's user avatar
  • 1,141
0 votes
1 answer
123 views

Electric Field and Direction of Field

I want to measure the magnitude, and the direction of the electric field at point P induced by a rod that has a charge of $-22.0\mathrm{\mu C}$. The problem has been accurately dimensioned. The ...
Jose M Serra's user avatar
  • 2,653
1 vote
0 answers
301 views

Integral of Coulomb interaction over sphere

I am stuck evaluating an integral that appears in a simplified theory of nuclear binding energy. The nucleus is modelled as a sphere of radius $R$ with a continuous charge distribution, and the ...
lauren96's user avatar
  • 143
1 vote
2 answers
4k views

Calculating the electric field of a disk

I'm having trouble regarding how to calculate the electric field of a disk. Here's the scheme: The exercise states that the disk is uniformely charged. This is what I did: Density charge : $\sigma = ...
user2336315's user avatar