Find Surface charge density charge and Electric field around a Conductor with Cavity

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David Griffith's Chapter 2
Similar to 2-36
Find Surface charge density charge and Electric field around a Conductor with Cavity

Problem 2.36 Two spherical cavities, of radii a and b, are hollowed out from the interior of a (neutral) conducting sphere of radius R (Fig. 2.49). At the center of each cavity a point charge is placed-eall these charges qa and qb.
(a) Find the surface charges aa, ab, and aR. (b) What is the field outside the conductor? (c) What is the field within each cavity?
(d) What is the force on qa and %?
(e) Which of these answers would change if a third charge, qc, were brought near the conductor?
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