Calculating Electric Potential and Field for a Charged Disk

[pakman2012]

Homework Statement

2. a) Find the potential due to a continuous charge distribution of a disk with a surface charge, x, at point P.
b) Find the electric field for part A using: attached formula .

Diagram attached.

Homework Equations

attached.

The Attempt at a Solution

Well my first clue was to trying to relate the variables given in the problem and diagrams in relation to potential. I wasn't really able to figure out a way to do so.

 

[Nate810]

For part B, I thought of using the equation given and plugging in the variables from the diagram. However, the angles are confusing me. It would be great if someone could explain how to approach this problem and break it down into steps. Thank you! \begin{align}V(P) &= \frac{1}{4\pi\epsilon_0}\int\frac{\sigma}{r}\,dA\\E(P) &= \frac{1}{4\pi\epsilon_0}\int\frac{\sigma\mathbf{\hat{r}}}{r^2}\,dA\end{align}

 

[m2003]

However, for part a), the potential due to a continuous charge distribution can be found using the equation V = kQ/r, where k is the Coulomb's constant, Q is the total charge of the disk, and r is the distance from the disk to point P. For part b), the electric field can be found using the formula E = kQ/r^2, where r is the distance from the disk to point P. It is important to note that the electric field is a vector quantity, so its direction must also be taken into account. Additionally, the surface charge density, x, can be used to find the total charge of the disk, Q, by multiplying it by the area of the disk. The diagram attached can also be used to visualize the setup and determine the direction of the electric field at point P.