Finding value of unknown charge

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In summary: This is in contrast to the electric field due to a positive charge which would be pointing to the left as a positive test charge would be repelled by the positive charge.
  • #1
ChiralSuperfields
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Homework Statement
Please see below
Relevant Equations
Please see below
For this problem,
1674021666843.png

The solution is,
1674021637296.png

However, why did they assume that the electric field produced by charge q is always pointing to the left at the origin?

Many thanks!
 
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  • #2
Callumnc1 said:
Homework Statement:: Please see below
Relevant Equations:: Please see below

For this problem,
View attachment 320613
The solution is,
View attachment 320612
However, why did they assume that the electric field produced by charge q is always pointing to the left at the origin?

Many thanks!
They are not assuming that the electric field is pointing to the left.

Think about it.

If ##q## is a positive charge, then indeed, the electric field at the origin, due to ##q##, is to the left (negative).

What if ##q## is negative? Then you have a negative number multiplied by a negative number. In what direction is the electric field, due to ##q##, pointing in this case?
 
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  • #3
SammyS said:
They are not assuming that the electric field is pointing to the left.

Think about it.

If ##q## is a positive charge, then indeed, the electric field at the origin, due to ##q##, is to the left (negative).

What if ##q## is negative? Then you have a negative number multiplied by a negative number. In what direction is the electric field, due to ##q##, pointing in this case?
Thank you for your reply @SammyS !

If ##q## is negative, then the electric field due to the charge will be pointing to the right as a positive test charge would be attracted to the negative charge.
 

1. What is the process for finding the value of an unknown charge?

The process for finding the value of an unknown charge involves using known values of other charges and the principles of Coulomb's Law. This law states that the force between two charges is directly proportional to the product of their magnitudes and inversely proportional to the square of the distance between them. By setting up and solving equations based on this law, the value of the unknown charge can be determined.

2. Can the value of an unknown charge be negative?

Yes, the value of an unknown charge can be negative. In fact, charges can have positive or negative values, and the sign of the charge determines the direction of the electric force between two charges. It is important to pay attention to the signs of all charges when solving for the value of an unknown charge.

3. What units are used to measure electric charge?

The SI unit for electric charge is the coulomb (C). Other commonly used units include the microcoulomb (μC) and the millcoulomb (mC). These units are based on the fundamental unit of charge, the elementary charge, which is approximately equal to 1.602 x 10^-19 C.

4. Can the value of an unknown charge change over time?

Yes, the value of an unknown charge can change over time. This is because charges can be transferred from one object to another through processes such as friction, conduction, and induction. The amount of charge on an object can also change due to the addition or removal of electrons.

5. Are there any limitations to using Coulomb's Law to find the value of an unknown charge?

Yes, there are limitations to using Coulomb's Law to find the value of an unknown charge. This law assumes that charges are stationary and that there are no other external forces acting on them. In reality, charges can move and interact with other forces, which can affect the accuracy of using Coulomb's Law to determine the value of an unknown charge.

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