An uncharged solid conducting sphere of radius r0contains two spherical cavities
ID: 1594079 • Letter: A
Question
An uncharged solid conducting sphere of radius r0contains two spherical cavities of radii r1 and r2, respectively. Point charge Q1 is then placed within the cavity of radius r1 and point charge Q2 is placed within the cavity of radius r2 (see the figure (Figure 1) ).
a/Determine the magnitude of the resulting electric field at locations outside the solid sphere
(r>r0), where r is the distance from its center.
Express your answer in terms of the variables Q1, Q2, r1, r2, r, and appropriate constants.
b/Determine the direction of the resulting electric field at locations outside the solid sphere
(r>r0), where r is the distance from its center.
Essay answers are limited to about 500 words (3800 characters maximum, including spaces).
Explanation / Answer
Total charge on the surface of sphere is =(Q1+Q2) As the charges resides on the surface only.
(a)
Electric field at a point distance r from the centre is given by
E=k(Q1+Q2)/r2
where K is constant .
(b)
As both the point charges are positive electric field is always away from the center of the sphere.
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