What is the initial charge of the second object in Coulombs?

In summary, the objects described in the conversation are conductors and must be assumed to be identical and brought into contact in a symmetric manner. The net charge on the first object after gaining electrons is -0.5008 C, and the resulting charge on the second object is 0.9 C. To solve for the initial charge on the second object, we need to use dimensional analysis to find the net charge on the first object after gaining the electrons, and then use the fact that when conductors are brought in contact, charges move to reach equilibrium.
  • #1
JessicaHelena
188
3

Homework Statement


Suppose an object has a charge of 1 C and gains #9.38 ✕ 10^18# electrons. When another object is brought in contact with the first object (after it gains the electrons), the resulting charge on the the second object is 0.9 C. What was the initial charge (in Coulombs)?

Homework Equations



1 electron has a charge of about #-1.6 \times 10^{-19}.

The Attempt at a Solution



Since the first object (call it object A) has a charge of 1C but gains #9.38 ✕ 10^18#, and using dimensional analysis #(9.38 ✕ 10^18 electrons) \times (-1.6 \times 10^{-19} C)/(1 electron) = -1.5008#, the net charge on object A is -0.5008 C. But I'm not sure how to go about solving for the initial charge on the second object?
 
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  • #2
Even though the problem does not state so, the "objects" must be conductors for this to make sense. When the objects are brought in contact what do you think happens to the charges? Do they stay where they are or do they move?
 
  • #3
kuruman said:
Even though the problem does not state so, the "objects" must be conductors for this to make sense.
And we need to assume the objects are identical, and brought into contact in a symmetric manner, no?
 
  • #4
haruspex said:
And we need to assume the objects are identical, and brought into contact in a symmetric manner, no?
Yes.
 

What is "Finding the initial charge"?

"Finding the initial charge" refers to the process of determining the amount of electric charge on an object at the beginning of an experiment or scenario. This initial charge is usually used as a baseline for comparison throughout the experiment.

Why is it important to find the initial charge?

Finding the initial charge is important because it allows scientists to accurately measure and analyze the changes in electric charge during an experiment. It also helps in understanding the behavior and characteristics of electric charges in different scenarios.

What are the methods for finding the initial charge?

There are several methods for finding the initial charge, including using an electrostatic charge detector, measuring the voltage and capacitance of the object, and using an electroscope to observe the direction and magnitude of the charge.

What factors can affect the initial charge of an object?

The initial charge of an object can be affected by various factors, such as the material and composition of the object, the environment it is in, and any external forces or influences acting on the object.

Can the initial charge of an object be negative?

Yes, the initial charge of an object can be negative. This indicates that the object has an excess of electrons, which have a negative charge. Objects with a positive initial charge have a deficiency of electrons.

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