[领域]电位与电位能 [来源] 课本习题 [题目]http://0rz.tw/3f2Bb A Geiger counter is used to detect charged particles emitted by radioactive nuvclei. It consists of a thin, positively charged central wire of radius Ra surrounded by a concentric conducting cylinder of radius Rb with an equal negative charge. The charge per unit length on the inner wire is λ(unit C/m). The cylindrical assembly is filled with lowpressure inert gas. Charged particles ionize some of these gas atoms; the resultinig free electrons are attracted toward the central wire. If the radial electric field is strong enough, the freed electrons gain enough energy to ionize other atoms, causing an "avalanche" of electrons strike the central wire, generating an electric"signal." Find the expression for the electric field between the wire and cylinder, and show that the potential difference between Ra and Rb is Va-Vb=ΔV=(λ/2πε)ln(Ra/Rb) [瓶颈] 其实题目我看不太懂orz。好像是说中间那条wire和外面的cylinder中间 会有一个够强的电场解离周围的气体分子。那跟他要我证明的式子有什麽 关系呀？而且我不会求柱状跟管状的电场or电位... --

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