A Faraday ice pail similar to the one you will use is used in this question. The

Question

A Faraday ice pail similar to the one you will use is used in this question. The principle of its operation relies on the proportionality between the charge on the inner pail and the potential difference between the inner pail and ground. Suppose the relationship between charge q and potential difference V is given by q = V middot 3.50 times 10^-14. When a blue wand and a white wand are inserted into the ice pail at the same time without the wands touching, the electrometer reading was +75.8 volts. When only the white wand was removed, the electrometer reading changed to -23.0 volts, (a) How much charge resides on the blue wand? (b) How much charge resides on the white wand? (c) When the two wands are held 3.25 cm apart, what is the magnitude of the force exerted on either wand, assuming each wand is considered a point charge? Is the force attractive or repulsive? Explain, (d) If the charge of one electron is -1.60 times 10^-19 C, how many electrons are on the blue wand? Recall that 1/4 pi epsilon_0 = 9.00 times 10^9 Nm^2/C^2. Please assume that no leakage of charge occurs and that the charge on the pail is the same as the charge on the wand.

Explanation / Answer

(a)

V = 75.8 volts

3.50 x 10-14 x q1 = 75.8 volts

q1 = 21.6 x 1014 C

(b)

V = -23 volts

3.50 x 10-14 (q1 + q2) = -23 volts

q1 + q2 = 6.571 x 1014 C

q2= - 15.03 x 1014 C

(c) F = k q1 q2 / r^2

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