A small sphere of mass 1.0 x 10^-6 kg carries a total charfe of 2.0 x 10^-8 C. The sphere hangs from a silk thread between two large parallel conducting plates. The excess charge on each plate is equal in magnitude, but opposite in sign. The thread makes an angle of 30 with the positive plate. Consider the sphere to be a point particle and the electric field between the plates to be uniform.(adsbygoogle = window.adsbygoogle || []).push({});

2. Relevant equations

1)One of the question was to draw a FBD. I drew the sphere with the force of the tension pointing up towards one of the plate...in this problem, it is the positive plate. Then the force from the negative plate pointing directly to the right and the force from the positive plate also pushing the sphere to the right.

2)How many more protons than electrons are on the sphere?

I used q=Ne

since q and e are given, I get N = 1.25 x 10^11 protons.

3)Calculate the magnitude of the electric force on the sphere.

This is where I am stock. I have sumed up all the force on the x and y axis. Then squared both forces and took the square root. I have on the x axis (2.0 x 10^-8)sin30 and on the y axis I have -(1 x 10^-6)(9.8) + (2.0 x 10^-8)cos30.

I am not sure if I am doing this right at all.

4)Finally it is asking for the magnitude of the electric field between the plates.

I order to move on, I believe I need answer from question 3.

I beleive I would need to use E = sigma/e0

I would appreciate if someone could help me out on this

Thank you

3. The attempt at a solution

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# Homework Help: Electric Force sphere charges

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