Question

In: Physics

Using a pair of positive and negative test charges describe how you could determine the charge...


Using a pair of positive and negative test charges describe how you could determine the
charge on an object dangling from a rope. That is, outline a procedure to test the charge,
describe possible outcomes of your procedure and state the conclusions each outcome
would lead to.

Solutions

Expert Solution

To do the test you first need to inductively charge the electroscope either positively or negatively (see the above section for how.) The following table summarizes what happens when you bring your test object near the terminal of your electroscope, what will happen to the leafs and what charge that means the object has.

Electroscope
is charged...
What the leafs do... The object is charged...
positively move closer together negatively
positively move farther apart positively
negatively move closer together positively
negatively move farther apart negatively

The following subsections explain the above in detail.

Using a positively charged electroscope

If you inductively charge an electroscope so that it's positive and when you bring an object close to the terminal the leafs move closer together then the object is negatively charged. That's because the object repelled electrons down to the positive leafs, making them less positive and causing them to repel each other less.

If on the other hand the leafs move farther apart then the object is positively charged. That's because the object attracted electrons from the leafs making them more positive, which causes them to repel each other more.

Using a negatively charged electroscope

If you inductively charge an electroscope so that it's negative and when you bring an object close to the terminal the leafs move closer together then the object is positively charged. That's because the object attracted electrons from the negative leafs, making them less negative and causing them to repel each other less.

If on the other hand the leafs move farther apart then the object is negatively charged. That's because the object repelled electrons down to the leafs making them more negative, which causes them to repel each other more.


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