Electric Field at Midway Point of Two Opposite Charges

In summary, the conversation discusses a problem involving two opposite charges of equal magnitude and their electric fields. The individual initially believes that the electric fields would cancel each other out at the point midway between the charges, but then realizes that since the charges are opposite, the field in the middle is doubled. This leads to a discussion about the direction and distribution of electric fields due to a point charge.
  • #1
GenMipps
5
0
This problem looked so easy at first:

Two opposite charges of equal magnitude 7e-07 C are held on an x-axis 0.7 m apart, with the negative charge on the right. What are the magnitude and direction of E at the point midway between charges?

I had the idea that I would solve this by summing up the electric fields.
Et = E1 + E2
and
E = kq/r^2

I started to do the numbers, then stopped when it become very obvious that since the two charges were equal but opposite in charge, the electric field midway would have to be zero, as we would have two equal electric fields cancelling each other out. But the online homework marker says it isn't zero. What part of my assumption is wrong?
 
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  • #2
No, the electric field points away from + charges and toward - charges. The E field accelerates + charges in the direction of the E field vector. Does that help? What equation specifies the electric field distribution due to a point charge?
 
  • #3
Are you sure the electric fields cancel each other out? You may want to review their directions.
 
  • #4
Wow, I am an idiot, I solved it myself. For anyone who cares, the fields would cancel each other out if they were equal. Since they are opposite, the field in the middle is doubled.
 
  • #5
No, you're not an idiot. We've all made mistakes like those. At least you realized that the result didn't seem right. Welcome to PF, BTW.:biggrin:
 

FAQ: Electric Field at Midway Point of Two Opposite Charges

What is electric charge?

Electric charge is a fundamental property of matter that causes it to experience electrical forces. It comes in two types: positive and negative, and is measured in units of Coulombs (C).

What is the difference between conductors and insulators?

Conductors are materials that allow the flow of electric charges, while insulators are materials that resist the flow of electric charges. This is due to the difference in the number of free electrons that can move within the material.

What is Ohm's law?

Ohm's law states that the current through a conductor between two points is directly proportional to the voltage across the two points, and inversely proportional to the resistance between them. This can be expressed as I = V/R, where I is current in amperes, V is voltage in volts, and R is resistance in ohms.

What is an electric circuit?

An electric circuit is a closed loop through which an electric current can flow. It is made up of a power source, conductors, and various components such as resistors, capacitors, and switches, that allow the flow of electricity to be controlled and manipulated.

How does electricity generate magnetic fields?

When electrons flow through a conductor, they create a magnetic field around the conductor. The strength of the magnetic field is directly proportional to the amount of current flowing through the conductor, and is also affected by the material and shape of the conductor.

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