any point in terms of thedensity Pd at the centre, we have where a = radius, and x = distance of point from the centre. PROBLEMS IN STATICAL ELECTEICITT. 93 Also the whole quantity is ^ira^p^, which shows that theaverage density is twice the density at the centre. 112. To calculate the potential of… … narrow annuli, and let OA cut one in M, N. Draw MP, NQperpendicular to OA, and QB perpendicular to PM, andjoin OP. Then the potential at 0 of the ring _ 2irOM. MN ap, _„ MN OM ■ JOP-OM ~ PM „ PQ&mQPR „ PQ cos OPM= ^Tr^Po ■ p]^ = ^^Po • p]^ = 27rap,. ^ = 2irap,. l POQ, 0/ PQ .since -—^ is the…
Electricity
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