Answer:
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.