Hey folks, I can\'t reproduce the figure but I\'m hopeful you\'ll understand the

Question

Hey folks, I can't reproduce the figure but I'm hopeful you'll understand the question without the figure. Suppose the conducting spherical shell in the figure below carries a charge of 2.60 nC and that a charge of ?1.20 nC is at the center of the sphere. If a = 1.80 m and b = 2.40 m, find the electric field at the following. (a) r = 1.50 m magnitude N/C direction (b) r = 2.20 m magnitude N/C direction (c) r = 2.50 m magnitude N/C direction (d) What is the charge distribution on the sphere? inner surface nC outer surface nC

Explanation / Answer

First, make an equation that gives you the electric field at y=4 due to the charge at any x position. You can use the pythagoreon theorem to find the distance from the charge to the point of interest. You can neglect the x component of the field due to the symmetry, so you can use the sin of the angle, which is (4cm / distance) and then you just have a scalar equation. Then, integrate it from -2.5 to 2.5 (or just 0 to 2.5 and multiply by 2). You'll also have to multiply by the charge density. I know that's short on details, but I hope it gets you going in the right direction.

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