An infinite line of charge with linear density λ1 = - 6.6μC/m is positioned along the axis of a thick conducting shell of inner radius a = 2.7 cm and outer radius b = 4.5 cm and infinite length. The conducting shell is uniformly charged with a linear charge density λ 2 = 3.1 μC/m.

Question

Physics

Tootsie

23 April, 08:24

An infinite line of charge with linear density λ1 = - 6.6μC/m is positioned along the axis of a thick conducting shell of inner radius a = 2.7 cm and outer radius b = 4.5 cm and infinite length. The conducting shell is uniformly charged with a linear charge density λ 2 = 3.1 μC/m.

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Sam Patel · Answer 1

1210 N/m between the inner and outer edges (repulsive)

252.59 N/m between inner and line charges (attractive)

1210+252.59=1462.59 N/m effective force/metre on the inner edge

Explanation:

f=k*Qq/r^2 was applied, the charges are concentrated at the edges of a ring both inner and the outer were shape edges with uniform charge densities 6.6 micro C/m of distance 4.5-2.7=1.8 cm