5. The electric field on the positive z-axis due to a uniformly charged disk of radius a that lies in the x-y plane with center at the origin is claimed to be given by - Ps Z 2E 2 a² + z² Where ps is the surface charge density on the disk. Without deriving this formula, evaluate it for its probable correctness. (a) Is its symmetry correct? Explain. (b) If z>> a, it reduces to that of a point charge of value a²ps (c) if z<< a the formula reduces to that of an infinite plane and (d) if a >> z is large the formula reduces to that of an infinite plane.

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5. The electric field on the positive z-axis due to a uniformly charged disk of radius a that lies in the
x-y plane with center at the origin is claimed to be given by
- Ps
Z
2E
2
a² + z²
Where ps is the surface charge density on the disk. Without deriving this formula, evaluate it for its
probable correctness. (a) Is its symmetry correct? Explain. (b) If z>> a, it reduces to that of a point
charge of value a²ps (c) if z<< a the formula reduces to that of an infinite plane and (d) if a >> z is
large the formula reduces to that of an infinite plane.
Transcribed Image Text:5. The electric field on the positive z-axis due to a uniformly charged disk of radius a that lies in the x-y plane with center at the origin is claimed to be given by - Ps Z 2E 2 a² + z² Where ps is the surface charge density on the disk. Without deriving this formula, evaluate it for its probable correctness. (a) Is its symmetry correct? Explain. (b) If z>> a, it reduces to that of a point charge of value a²ps (c) if z<< a the formula reduces to that of an infinite plane and (d) if a >> z is large the formula reduces to that of an infinite plane.
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