Two small charged spheres are placed in a vacuum on the x-axis: ( q₁ = 5.0 , μ C ) at ( x = 0 ) and ( q₂ = -8.0 , μ C ) at ( x = 50 , cm ). A third charge is placed at ( x = 1 , cm ) such that the net force it experiences due to ( q₁ ) and ( q₂ ) is zero. What is the value of ( q )? Draw a sketch of the problem and label appropriately.
a. 3.0 μ C
b. -4.0 μ C
c. 4.0 μ C
d. -3.0 μ C