Hello! I have been falling behind in physics class and I have no clue how to ans

Question

Hello! I have been falling behind in physics class and I have no clue how to answer these types of questions. Please help!

An insulating spherical shell with inner radius 25.0 m cm and outer radius 60.0 m cm carries a charge of + 150.0 mu { m C} uniformly distributed over its outer surface. Point a is at the center of the shell, point b is on the inner surface and point c is on the outer surface.


a)What will a voltmeter read if it is connected between a and b?
b)What will a voltmeter read if it is connected between b and c?
c)What will a voltmeter read if it is connected between c and infinity?
d)What will a voltmeter read if it is connected between a and c?
e)Which point is at higher potential, a or b?

Explanation / Answer

When you have a uniform spherical charge density, and you are on the inside of that charge density, you can use the equation for the potential difference from a point charge. Potential differences, like potential energy allow us to set a zero reference point, and take the difference. Our reference point is at infinity and the potential there is 0. The equation for a Potential Difference of a point charge is k Q/R, where k is a constant equal to 9 * 10 ^ 9. You can use Q as the charge over the specific sphere you're working.

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