Q1 - Two conducing spheres are mounted on insulating rods. They both cary some i

Question

Q1 - Two conducing spheres are mounted on insulating rods. They both cary some initial electric charge and are far from any other charge. Their charges are measured. Then, the spheres are allowed to briefly touch, and the charge in one of them (sphere A) is measured again. Measured values;

Before contact;

Sphere A; 9.9 nC

Sphere B; 0 nC

After contact;

Sphere A; 3.5 nC

Sphere B; ?

What is the charge on sphere B after the spheres are in contact?

Q2 - No measurements are done after the spheres touch, but we know that the two spheres are identical.

Before contact

Sphere A; 4.8 nC

Sphere B; 0 nC

What is the charge on sphere B after contact, in nC?

Explanation / Answer

charges are always conserved

i.e charge initial = charge final

so Ai + Bi = Af + Bf

so 9.9 + 0 = 3.5 + Bf

Bf = 6.4 nC

for identical sphere the charge will distribute equally on both the spheres

so Ai + Bi = Af + Bf

4.8 + 0 = Bf + Bf

Bf = 2.4 nC

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