Question

The final charge on each of the three separated spheres in part (b) is +3.0 μC. How many electrons would have to be added to one of these spheres to make it electrically neutral?

Answer 1

`1.873* 10^(13)` electrons should be added to one of these spheres to make it electrically neutral.

Step-by-step explanation:

Total charge on each sphere = +3.0 μC =
`3* 10^(-6) C`

`1 \mu C=10^(-6) C`

In order to neutralize the positive charge equal magnitude of negative charge is to be added.

Total charge electrons, Q= -3.0 μC =
`-3* 10^(-6) C`

Number of electrons = n

Charge on a single electron, e =
`-1.602* 10^(-19) C`

Q = n × e

`-3* 10^(-6) C=n* (-1.602* 10^(-19) C)`

`n=(-3* 10^(-6) C)/(-1.602* 10^(-19) C)=1.873* 10^(13)`

`1.873* 10^(13)` electrons should be added to one of these spheres to make it electrically neutral.