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玩转物理学

And that  all still equals the charge inside the Gaussian surface divided by the permittivity of free space.

而这一切仍然等高斯表面内的电荷除自由空间的介电常数。

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玩转物理学

We also know the Coulomb constant equals the  inverse of the quantity four pi times the permittivity of free space.

我们还知常数等四圆周率乘自由空间介电常数的倒数。

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Crash Course Physics 速成课物理

And that is equal to the change in electric flux over time, multiplied by the permittivity of free space constant.

这等电通量随时间的变化乘自由空间常数的介电常数。

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Crash Course Physics 速成课物理

You can take our energy density equation and substitute the magnetic field magnitude, B, with the electric field, times the square root of the permittivity constants.

用我们的能量密度方程,并用电场和介电常数的平方根时间替换磁场的大小 B。

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Crash Course Physics 速成课物理

This equation simplifies down to an equation with two constants, the permittivity of free space for electric fields, epsilon naught, and the permittivity of free space for magnetic fields, mu naught.

该方程简化了具有两个常数的方程,电场的自由空间介电常数 epsilon 为零,磁场的自由空间介电常数 mu。

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玩转物理学

The electric flux which passes through a sphere which is  concentric to a positive point charge equals the charge of the positive point charge  divided by the permittivity of free space.

穿过与正点电荷同心的球体的电通量等正点电荷的电荷除自由空间的介电常数。

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Crash Course Physics 速成课物理

I won't blame you if you don't remember, but the permittivity of free space is a constant of proportionally we've used before, that relates electric charge to the physical effect of electric fields.

如果你不提我不会怪你,但自由空间介电常数是我们之前用的相对论常数,它将电荷与电场的物理效应联系起来。

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Crash Course Physics 速成课物理

Mathematically, this equation says that electric flux is the integral of the electric field over the area of the surface, which is equal to the enclosed charge, divided by the permittivity of free space.

在数学上,这个方程表明电通量是表面积上电场的一个组成部分,它等闭合电荷除自由空间的介电常数。

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玩转物理学

And we get that the magnitude of the electric  field which surrounds and is caused by an infinitely large, thin plane of charges  equals surface charge density divided by the quantity two times permittivity of free space.

我们发现,由无限大而薄的电荷平面包围并引起的电场强度等表面电荷密度除自由空间介电常数的两倍。

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Crash Course Physics 速成课物理

One way to express capacitance is to divide the area of each plate by the distance between them, and multiply that by a constant – known as the permittivity of free space – denoted by epsilon naught.

表示电容的一种方法是将每个极板的面积除它们之间的距离, 这乘一个常数,称为用空间容差,由 epsilon 注释推断。

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