Four identical metallic objects carry the following charges: +1.63, +6.81, -4.04
ID: 1496337 • Letter: F
Question
Four identical metallic objects carry the following charges: +1.63, +6.81, -4.04, and -9.54(Mu)C. The objects are brought simultaneously into contact, so that each touches the others. Then they are separated. (a) What is the final charge on each object? (b) How many electrons (or protons) make up the final charge on each object? Four identical metallic objects carry the following charges: +1.63, +6.81, -4.04, and -9.54(Mu)C. The objects are brought simultaneously into contact, so that each touches the others. Then they are separated. (a) What is the final charge on each object? (b) How many electrons (or protons) make up the final charge on each object? Four identical metallic objects carry the following charges: +1.63, +6.81, -4.04, and -9.54(Mu)C. The objects are brought simultaneously into contact, so that each touches the others. Then they are separated. (a) What is the final charge on each object? (b) How many electrons (or protons) make up the final charge on each object?Explanation / Answer
(a)
The total charge on the objects distributes equally after the separation. The total charge is,
Q=(+1.63+6.81-4.04-9.54) muC = -5.14 MuC
The charge on each object after the separation is,
q=Q/4 = -5.14 Muc /4 = -1.285 MuC
(b)
The charge of one electron is -1.6*10^-19 C
Therefore, the required number electrons is,
N=Q/e = (-1.285*10^-6 C) /(-1.6*10^-19C)
=8.03*10^12 electrons