Two identical circular planar surface charges float in free space (permittivity €). The surface charge density is constant over the disk pso (with units As/m²) for both disks. The disks are separated by distance 'a'. Let's fix the coordinate system such that the upper disk is on the xy plane (z = 0) and its center lies on the origin. The lower plate is on the xy plane (z = −a). The goal is to find the expression for electric scalar potential at the symmetry axis (z) between the two disks. = a Ps0 Ps0 O A (a) Determine the scalar potential V(z) at the z axis in between the two disks. Re- member that you need to integrate the effect of all charge in the disk. (Since there are two disks you will need superposition. The cylindrical coordinate sys- tem should be helpful.) Hint: J where C is constant of integration. X (B²+x²)¹/2° √B² + x² + C dx = V

Two identical circular planar surface charges float in free space (permittivity €). The surface charge density is constant over the disk pso (with units As/m²) for both disks. The disks are separated by distance 'a'. Let's fix the coordinate system such that the upper disk is on the xy plane (z = 0) and its center lies on the origin. The lower plate is on the xy plane (z = −a). The goal is to find the expression for electric scalar potential at the symmetry axis (z) between the two disks. = a Ps0 Ps0 O A (a) Determine the scalar potential V(z) at the z axis in between the two disks. Re- member that you need to integrate the effect of all charge in the disk. (Since there are two disks you will need superposition. The cylindrical coordinate sys- tem should be helpful.) Hint: J where C is constant of integration. X (B²+x²)¹/2° √B² + x² + C dx = V

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter19: Electric Forces And Electric Fields

Section: Chapter Questions

Problem 4OQ: A particle with charge q is located inside a cubical gaussian surface. No other charges are nearby....

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