# Potential in the midway between parallel plates

When we think of parallel plates with uniform charge density and charges $+q$ and $-q$, and if we set the potential to be zero at infinity we find the negative charged plate's potential to be zero. But when we think of the charge on each plate as collection of point charges and try to find the potential just in the midway between plates by using $kq/r$ formula, the potential there seems to be zero. But this cannot be true because when we set zero potential to be at infinity and bring a test charge to the negative plate, we dont feel any force acting on the test charge hence the plate is at zero potential. What is the reason behind this contradiction?