Question

Q1. DISK OF CHARGE: a) Find the electric field a distance z along the axis from a disc of radius $R_0$ and uniform charge density $\sigma$. [Hint: a disk is just a bunch of concentric rings of charge $dq$, right? Then you just start by doing problem 2.5 in Griffiths...] b) Explicitly calculate the limiting forms of your solution at very small and at very large z (compared to $R_0$) and discuss. (Note: \"limiting form\" means \"how it behaves as a function of distance\" . So e.g., at large z, don't just say \"it goes to zero\" (if that's what you think happens). Tell us how, functionally, it vanishes. (like 1/z? like $e^{-z}$? Something else? ...) Comment: The disk of charge is an idealization of many physical devices: a capacitor plate, a small patch of any surface... Once you have solved this ideal problem, you will be able to apply it (many times this term!) to realistic situations.

          Q1. DISK OF CHARGE:
a) Find the electric field a distance z along the axis from a disc of radius $R_0$ and uniform
charge density $\sigma$. [Hint: a disk is just a bunch of concentric rings of charge $dq$, right? Then
you just start by doing problem 2.5 in Griffiths...]
b) Explicitly calculate the limiting forms of your solution at very small and at very large z
(compared to $R_0$) and discuss. (Note: \"limiting form\" means \"how it behaves as a function
of distance\" . So e.g., at large z, don't just say \"it goes to zero\" (if that's what you think
happens). Tell us how, functionally, it vanishes. (like 1/z? like $e^{-z}$? Something else? ...)
Comment: The disk of charge is an idealization of many physical devices: a capacitor plate,
a small patch of any surface... Once you have solved this ideal problem, you will be able to
apply it (many times this term!) to realistic situations.

Q1. DISK OF CHARGE:
a) Find the electric field a distance z along the axis from a disc of radius R0 and uniform
charge density σ. [Hint: a disk is just a bunch of concentric rings of charge dq, right? Then
you just start by doing problem 2.5 in Griffiths...]
b) Explicitly calculate the limiting forms of your solution at very small and at very large z
(compared to R0) and discuss. (Note: l̈imiting formm̈eans ḧow it behaves as a function
of distance.̈ So e.g., at large z, don't just say ït goes to zero(̈if that's what you think
happens). Tell us how, functionally, it vanishes. (like 1/z? like e^-z? Something else? ...)
Comment: The disk of charge is an idealization of many physical devices: a capacitor plate,
a small patch of any surface... Once you have solved this ideal problem, you will be able to
apply it (many times this term!) to realistic situations.

Added by Alexis G.

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