Athird point charge q3 is now positioned halfway between q1 and q2. the net force on q2 now has a magnitude of f2,net = 14.413 n and points away from q1 and q3. what is the value (sign and magnitude) of the charge q3?

The value of  charge q₃ is 40.46 μC.

Explanation:

Given that.

Magnitude of net force

Suppose a point charge q₁ = -3 μC is located at the origin of a co-ordinate system. Another point charge q₂ = 7.7 μC is located along the x-axis at a distance x₂ = 8.2 cm from q₁. Charge q₂ is displaced a distance y₂ = 3.1 cm in the positive y-direction.

We need to calculate the distance

Using Pythagorean theorem

Put the value into the formula

We need to calculate the magnitude of the charge q₃

Using formula of net force

Put the value into the formula

Hence, The value of  charge q₃ is 40.46 μC.

i think the answer would be b

a and c

c is 100% but i am confused in a