Zero Electric Field on the x-Axis Due to Opposing Charges at Different Positions

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In summary, charges q and -Q are placed at x = 0 and x = d on the x-axis respectively, with -Q having a greater magnitude than q. The electric field is zero in region D (x > d) and region E (0 < x < d) on the x-axis. This is because the total force on a charge is zero, assuming the charge is positive. In region D, the forces from q and -Q are in opposite directions, while in region E, the forces are in the same direction.
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kimberlyann9
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Homework Statement


Charges q and -Q lie on the x-axis at x = 0 and x = d respectively. Charge -Q has a greater magnitude than q. In which region or regions on the x-axis is there a position where the electric field is zero?

A) x < 0
B) x < 0 and x > d
C) 0 < x < d and x > d
D) x > d
E) 0 < x < d


Homework Equations


E=kq/r^2


The Attempt at a Solution


Not too sure where to start...
 
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hi kimberlyann9! :smile:
kimberlyann9 said:
Charges q and -Q lie on the x-axis at x = 0 and x = d respectively. Charge -Q has a greater magnitude than q. In which region or regions on the x-axis is there a position where the electric field is zero?

Not too sure where to start...

the electric field is zero if the total force on a charge is zero

we may as well assume the charge is positive

let's start with x > d …

how does the force from q compare with the force from Q, and are they in the same or opposite directions? :smile:
 

FAQ: Zero Electric Field on the x-Axis Due to Opposing Charges at Different Positions

What is the concept of "charges laying on the x-axis"?

The concept of "charges laying on the x-axis" refers to a scenario where electric charges are arranged in a line along the x-axis, which is a horizontal axis on a coordinate system.

What are some examples of "charges laying on the x-axis" in real life?

One example of "charges laying on the x-axis" is a battery with positive and negative terminals arranged in a straight line. Another example is a series of capacitors connected in a line along the x-axis in an electronic circuit.

How do charges on the x-axis affect each other?

The charges on the x-axis will exert electric forces on each other, either attracting or repelling depending on their respective charges. The strength of the force is determined by the distance between the charges and their magnitudes.

What is the significance of charges laying on the x-axis in physics?

The arrangement of charges on the x-axis is important in studying and understanding the behavior of electric fields and forces. It allows us to make calculations and predictions about the interactions between charges in a given system.

Can charges on the x-axis move or change position?

Yes, charges on the x-axis can move or change position. This can happen through the application of an external force or through changes in the electric field around them. However, in a closed system, the total charge on the x-axis will remain constant.

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