AP物理C电学题,两个半径不同、带等量+Q的导体球,现在用一根导线连接,问导线中电流方向。

我自己认为,因为导体性质是越弯曲的地方越能聚集电荷,所以连接起来之后,电荷应该从半径大的球流向半径小的球,但答案是反的,我想不出来为什么。
英文原题:答案说是B
Twoconducting spheres, X and Y. have the same positive charge +Q, but different radii (rx > ry) as shown above. The spheres are separated so thatthe distance between them is large compared with either radius. If a wire is connected between them, in whichdirection will current be directed in the wire?
(A) From X to Y (B) From Y to X
(C)There will be no current in the wire.
(D) It cannot be determined withoutknowing the magnitude of Q.
(E) It cannot be determined withoutknowing whether the spheres are solid or hollow.

这个应该从电势的角度解释,电荷(正)永远都是从电势高的流向低的位置。球面的电势公式(利用高斯定理再求积分)V=Q/4*pai*R,与半径成反比,即半径小的电势高,故由小的流向大的。你的理解偏差的地方在于,虽然弯曲的地方电荷与半径成反比,但电荷密度是和半径平方成反比的,但故虽然弯曲的地方电荷少了,但密度依然大,从电荷密度的角度说是“汇聚”电荷的。
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