A certain unknown charge distribution gives rise to the following electrostatic potential in spherical coordinates Φ(r,θ) = Φ era cost -r/a 0 where a is some constant. The potential exists everywhere in the range 0≤r<∞: a. Find the electric field associated with this potential b. Find the charge density that produces this field and potential

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A certain unknown charge distribution gives rise to the
following electrostatic potential in spherical coordinates
-r/a
Φ(r,θ) = Φ Cos
where a is some constant. The potential exists everywhere in the range 0≤r<∞:
a. Find the electric field associated with this potential
b. Find the charge density that produces this field and potential
Transcribed Image Text:A certain unknown charge distribution gives rise to the following electrostatic potential in spherical coordinates -r/a Φ(r,θ) = Φ Cos where a is some constant. The potential exists everywhere in the range 0≤r<∞: a. Find the electric field associated with this potential b. Find the charge density that produces this field and potential
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