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

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SUMMARY

The discussion focuses on determining the regions along the x-axis where the electric field is zero due to two charges, q and -Q, positioned at x = 0 and x = d, respectively. Given that the magnitude of -Q exceeds that of q, the electric field will be zero in the regions where the forces from both charges balance each other. The correct answer is that the electric field is zero in the region x > d, as the force from charge q diminishes while the force from charge -Q remains dominant.

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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:
 

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