1. Compute the capacitance of of the sphere used in the Coulomb balance apparatu

Question

1. Compute the capacitance of of the sphere used in the Coulomb balance apparatus. This sphere has a radius of 1.9cm.

2. Compute the charge Q on this sphere, if it has a voltage of 5 kV.

3. Compute the repulsive force F between two identical point charges separated by 12 cm, each having the charge Q that you computed in the previous step.

4. Measuring such a small force requires a sensitive instrument, such as the torsion balance. To get a feel for how small this force is: Compute the mass M that experiences a gravitational force Mg equal to the Coulomb force you computed above.

Explanation / Answer

C=4*pi*epsilon*R =2.11pF Q=CV=2.11*10^-12*5*10^3 =1.055*10^-8 Coulomb F=9*10^9*1.055^2*10^-16/.12^2 =6.96*10^-5 N

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