12) Two-point charges each have a value of 3.0 C and 5.0 C and are separated by a distance of 6.0 m. What is the electric field at a point midway between the two charges?

The electric field at a point midway between the two charges is 2 x 10⁹ N/C.

Explanation:

Given;

first point charge, Q₁ = 3.0 C

second point charge, Q₂ = 5.0 C

distance between the two point charges, R = 6.0 m

The mid-point between the two charges, r = R/2 = 3.0 m

3.0 C <-------------------->3.0m<----------------------->5.0 C

The forces are acting in opposite direction, the electric field strength of each charge is calculated as;

The net electric field is calculated as;

Therefore, the electric field at a point midway between the two charges is 2 x 10⁹ N/C.

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