How to Calculate the Electric Field of Two Point Charges Along the x-Axis?

In summary, the conversation discusses calculating the vector E(x,0,0) along the xx axis for two positive charges placed at (0,a,0) and (0,-a,0). The equation used is E=1/(4*pi*epsilon naught) * Q/r^2, where r^2 = x^2 + a^2. The person mentions trying to use Q/(x ex + a ey)^2 and (x ex + (-a) ey)^2 but being unsure of what to do next. The solution involves finding the components of E along the X and y-axis and then taking the resultant.
  • #1
bmaia89
8
0

Homework Statement


Here it goes.
2 pontual charges (Q>0), placed in (0,a,0) and (0,-a,0): calculate de vector E(x,0,0) along xx

Homework Equations


The Attempt at a Solution


I tried to use E=1/(4*pi*epsilon naught) * Q/r2
but when i make Q/(x ex + a ey)2 and (x ex + (-a) ey)2
i don't know what to do...
(I think i have doing something wrong)
:cry:
 
Last edited:
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  • #2
but when i make Q/(x ex + a ey)2 and (x ex + (-a) ey)2
This step is not clear.
Here r^2 = x^2 + a^2.
Here E has the same magnitude but different direction. Take its components along X and y-axis and then take the resultant.
 
  • #3
:smile:
thanks
 

FAQ: How to Calculate the Electric Field of Two Point Charges Along the x-Axis?

What is an electric field?

An electric field is a physical quantity that describes the influence that an electric charge has on other charges in its vicinity. It is represented by a vector quantity, meaning it has both magnitude and direction.

How is an electric field calculated?

The formula for calculating the electric field is E = F/q, where E is the electric field, F is the force exerted by the charge, and q is the magnitude of the charge. The direction of the electric field is in the same direction as the force on a positive charge and opposite to the force on a negative charge.

What is the unit of electric field?

The unit of electric field is newtons per coulomb (N/C) in the SI (International System of Units) system. In other systems, such as the CGS (centimeter-gram-second) system, the unit is dynes per charge (D/C).

What are some common applications of electric fields?

Electric fields are used in a variety of applications, such as in electronic devices, generators, and motors. They are also used in medical imaging techniques, such as MRI (magnetic resonance imaging) and EEG (electroencephalography). Additionally, electric fields are utilized in particle accelerators and in the ionization of gases for lighting.

How does distance affect the strength of an electric field?

The strength of an electric field is inversely proportional to the square of the distance from the source charge. This means that as the distance increases, the strength of the electric field decreases. This relationship is known as the inverse square law.

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