If you brought a charged plastic strip close to a pith ball that is attatched to

Question

If you brought a charged plastic strip close to a pith ball that is attatched to a string holding the ball between two fingers, then released the ball before removing the plastic strip, would the ball be charged or uncharged? Explain your answer, the sign of the charge relative to that of the plastic, and whether any charge has been lost by the plastic strip during this process, referring to the type of charging if it is charged.

If you had a second identical pith ball and were allowed to move the plastic strip, what sequence of tests would allow you to prove that your
answer to part (a) was correct?

If you had one pith ball that was charged to 3C, given an unlimited number of other pith balls, explain how you could produce a pith ball with a charge of 1 C

If two pith balls of identical mass were found to repel one another and make the same angle with respect to the vertical direction, could you conclude that both balls had the same total charge on them? Explain your answer. If your answer is no, explain what would be the same for both balls, and how you know this

Explanation / Answer

Yes, the ball will be charged as the plastic strip is charged.
This kind of charging is Charging by Induction. The Charge induced on the ball will be opposite in polarity than that on the plastic strip.
As the ball is attached to the string (insulator) so charge does not flow anywhere, the ball will remain charged.
No, charge is not lost by plastic sttrip while charging by induction

If I had another pith ball, the plastic strip will induced charge on the second ball too, and that too of opposite polarity than that on strip i.e same as on first ball.
As, like charges repel, both pith balls will repel each other.
Which shows part (a) also has opposite charge induced w.r.t plastic strip.

Considering Identical uncharged pith balls, very large in number, keeping 2 uncharged pith balls in contact with a 3uC charged ball, total charge remains constant but will be distributed on each of the balls equally and of same Polarity as this charging is by keeping in contact and charge is transferred and not induced. So we have 3 pith balls charged to 1uC each.

Two pith balls of same mass, repelling each other shows that the charge on each other is of same polarity and nothing else as like(similar) charges repel each other.

This could be possible that total charge on each of them is same but it can not be concluded from the data.

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