Two-point charges are 10.0 cm apart and have charges of 2.0 uc and -2.0uc respectively what is the magnitude of the electrical field at the midpoint between the two charges?

The electric field generated by a point charge is given by:

where

is the Coulomb's constant

Q is the charge

r is the distance from the charge

We want to know the net electric field at the midpoint between the two charges, so at a distance of r=5.0 cm=0.05 m from each of them. 

Let's calculate first the electric field generated by the positive charge at that point:

where the positive sign means its direction is away from the charge.

while the electric field generated by the negative charge is:

where the negative sign means its direction is toward the charge.

If we assume that the positive charge is on the left and the negative charge is on the right, we see that E1 is directed to the right, and E2 is directed to the right as well. This means that the net electric field at the midpoint between the two charges is just the sum of the two fields:

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Step-by-step explanation:

10x

step-by-step explanation:

the greatest common factor 30 and 20 is 10

5 is a common factor of 30 and 20 but 10 is also a factor and 10 is greater than 5 so 5 will definitely not be apart of our answer

now the most amount of x's you factor our is just 1 factor of 1

so 10x the gcf of the terms in the polynomial