A sphere of mass m = 0.45 kg is suspended 0.20 m above a thinsheet of charge wit

Question

A sphere of mass m = 0.45 kg is suspended 0.20 m above a thinsheet of charge with an area of 0.65 m2 and uniformsurface charge density . The sphere has a uniform chargedensity of 4 nC/m3 and a radius of 3.2x10-3m. You may ignore adverse field effects from the edges of the sheetof charge, meaning that you may expect a uniform electric fieldfrom the conducting sheet.

Find , the surface charge density of the thin conductingsheet, and determine the total charge of the thin conductingsheet.

Explanation / Answer

The electric field due to sphere is                  E = ke'A / r2 The electric field due to thin sheet is                 E = / 2o The two are balanced so that                / 2o = ke'A /r2            ==> =2oke'R2 /r2 Given that             ' = 4 nC/m3                 R = 3.2x10-3 m             r = 0.20 m Substitute values.

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