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Only need to do part b) and c) For part a I found the electric field to be: E = -z(phi)/2*pi*e_0 (1/z - 1/(R^2 + z^2)^1/2))

Only need to do part b) and c) For part a I found the electric field to be: E = -z(phi)/2*pi*e_0 (1/z - 1/(R^2 + z^2)^1/2))

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Only need to do part b) and c)

For part a I found the electric field to be:

E = -z(phi)/2*pi*e_0 (1/z - 1/(R^2 + z^2)^1/2))

(a) Find the electric field a distance z above the center of a flat circular disk of radius R, which carries a uniform surface charge density o. Z P R (b) Without doing the calculation, state what the electric field should look like (i.e. what kind of system) in the limit of R→ ∞. Check your intuition by calculating the electric field in the limit of R→∞. (c) Without doing the calculation, state what the electric field should look like (i.e. what kind of system) in the limit of z » R. Check your intuition by calculating the electric field in the limit of z » R.
Transcribed Image Text:(a) Find the electric field a distance z above the center of a flat circular disk of radius R, which carries a uniform surface charge density o. Z P R (b) Without doing the calculation, state what the electric field should look like (i.e. what kind of system) in the limit of R→ ∞. Check your intuition by calculating the electric field in the limit of R→∞. (c) Without doing the calculation, state what the electric field should look like (i.e. what kind of system) in the limit of z » R. Check your intuition by calculating the electric field in the limit of z » R.
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