Halliday, Resnick & Walker — Electric Potential: Problem 34

34 Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at \(x = -50 \text{ cm}\) and \(x = +50 \text{ cm}\). The charge densities on the planes are \(-50 \text{ nC/m}^2\) and \(+25 \text{ nC/m}^2\), respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at \(x = +100 \text{ cm}\)? (Hint: Use Gauss’ law.)