请问电场力做功的公式W=QED计算式要不要带正负号?还有U=ED计算时需要带正负号吗?

2025-04-07 08:06:31
推荐回答(2个)
回答(1):

答:电场力做功的公式W=QED要带正负号的,不一定是电荷的正负号,而是看电场力QE的方向与电荷位移的方向是相同还是相反.相同带正号,相反带负号.根据求出的结果的正负就知道电场力是做正功还是负功.当然如果指明W是电场力做功的大小,就不代正负号,通过其它途径分析是正功还是负功.
  如果用U=W/Q求电势差,可以把电荷的正负代进公式,根据计算结果的正负就可以知道哪点电势高,哪点电势低.如果指明U是电势差的大小,就不代正负号,通过其它途径确定电势的高低.
  用U=ED求电势差,如果是沿电场方向就代正号,逆电场方向就代负号,同样如果指明只求电势差的大小,不管方向就不代正负号了. 不过要注意,电势差的方向是由电势高的地方指向电势低的地方,但电势差的运算并不遵从平行四边形定则,所以电势差不是矢量.

回答(2):

1 公式W=QED计算式的计算结果是要要带正负号的。
严格的公式是:这个功等于电场E矢量点乘位移D矢量后再对位移元积分,然后乘点电荷电量Q,电场E矢量点乘位移D矢量的结果是有正负符号之分的。
2 U=ED计算结果也应该有正负之分,它表示电势的升高与降低。其正负符号也出现在电场E矢量点乘位移D矢量的结果之中。但通常很多人只记及电势差的绝对值,对正负号不在意。

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