A balloon, initially neutral, is rubbed with fur until it acquires a net charge

Question

A balloon, initially neutral, is rubbed with fur until it acquires a net charge of -x nC. (a) Assuming that only electrons are transferred, how many electrons were transferred? Find the total positive charge of all the protons in x gm of CO_2 gas. A metallic sphere has a charge of +x nC. A negatively charged rod has a charge of -y nC. When the rod touches the sphere, x* 10^9 electrons are transferred. What are the charges of the sphere and the rod now? If the electrical force of repulsion between two same amount of charges is x N, and they are y* 10000 m apart. What is magnitude of each charge? Three charges A (x mu C), B (-y mu C) and C (x mu C) are placed at the vertices a right angle triangle ABC. AC=10 cm, BC=6 cm. Find net force on charge B due to C and A charges.

Explanation / Answer

1.

Charge = number of electrom*charge on single electron

Q = n*e

charge on single electron = -1.6*10^-19 C

Q = -8 nC = -8*10^-9 C

n = Q/e

n = -8*10^-9/(-1.6*10^-19) = 5*10^10

B.

8 gm of CO2

no. of proton in CO2 =

C = 6

O = 8

total proton = 22 proton

there is 6.023*10^23 molecules in one mole of CO2

8 gm of CO2 = 8/44 = 0.1818 mole

number of molecules in 0.1818 mole = 0.1818*6.023*10^23 = 1.095*10^23

Charge carried by single proton = 1.6*10^-19 C

number of proton = 1.095*10^23*22

net charge

Q = n*e

Q = 22*1.095*10^23*1.6*10^-19 C

Q = 385440 C = 3.85*10^5 C

3.

Charge carried by electron = -1.6*10^-19 C

After the rod touches the sphere

charge on sphere = +8*10^-9 C + (-8*10^9*1.6*10^-19 C)

Qs = 6.72*10^-9 C

charge on rod = -5*10^-9 C - (-8*10^9*1.6*10^-19) = -3.72*10^-9 C

Qr = -3.72*10^-9 C

As you can see total charge is still constant

Qi = Qf

8 nC - 5 nC = 6.72 nC - 3.72 nC

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