A solid non conducting sphere of radius a carries a non-uniform charge distribution, the charge density being p = ps r/a, where ps is a constant and r is the distance from the centre of the sphere. Determine i. ii. iii. iv. The total charge in the sphere the electric field inside the sphere (P₂) the electric field outside the sphere (P₁) Draw, qualitatively, the magnitude of the electric field as a function of r. a P₂ P₁

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A solid non conducting sphere of radius a carries a non-uniform charge distribution, the
charge density being p = ps r/a, where p, is a constant and r is the distance from the centre
of the sphere. Determine
i.
ii.
iii.
iv.
The total charge in the sphere
the electric field inside the sphere (P₂)
the electric field outside the sphere (P₁)
Draw, qualitatively, the magnitude of the electric
field as a function of r.
P2
P₁
Transcribed Image Text:A solid non conducting sphere of radius a carries a non-uniform charge distribution, the charge density being p = ps r/a, where p, is a constant and r is the distance from the centre of the sphere. Determine i. ii. iii. iv. The total charge in the sphere the electric field inside the sphere (P₂) the electric field outside the sphere (P₁) Draw, qualitatively, the magnitude of the electric field as a function of r. P2 P₁
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