Question

Two point charges each have a value of 3.0 c and are separated by a distance of 4.0 m. what is the electric field at a point midway between the two charges?

Answer 1

 Place a test charge in the middle. It is 2cm away from each charge. 
The electric field E= F/Q where F is the force at the point and Q is the charge causing the force in this point. 
The test charge will have zero net force on it. The left 30uC charge will push it to the right and the right 30uC charge will push it to the left. The left and right force will equal each other and cancel each other out. 
THIS IS A TRICK QUESTION. 
THe electric field exactly midway between them = 0/Q = 0. 
But if the point moves even slightly you need the following formula 
F= (1/4Piε)(Q1Q2/D^2) 
Assume your test charge is positive and make sure you remember two positive charges repel, two unlike charges attract. Draw the forces on the test charge out as vectors and find the magnetude of the force, then divide by the total charge to to find the electric field strength:)

Answer 2

From first Principles, the electric field midway between any two equal charges is zero, no matter how far apart they are or what size their charges are.

Given Data

• Charge q1 = 3.0c

• Charge q2 = 3.0c

• Separating distance = 4.0m

• Midway between the two charges is = 2 m

Summary:

Electric fields between two charges that are the same (e.g 3.0m Coulomb), this is basically because the electric field lines do not end i.e the lines are diverted at that point and goes back to the charge.

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