Now, let's instead try to use Stokes' theorem to do the calculation.

现在使用Stokes定理来算。

Then you wouldn't be able to Stokes' theorem at all or at least not directly.

那就不能用Stokes定理,至少不能直接用。

Well, it turns out we can do the same thing in space and that is called Stokes' theorem. What does Stokes' theorem say?

我们发现，在空间里面也可以做一样的事情，那是Stokes定理，Stokes定理说了什么呢？

Green's theorem and applications, triple integrals, line and surface integrals in space, Divergence theorem, Stokes' theorem; applications.

格林定理及其应用、三重积分、空间中的线积分和面积分、散度定理、斯托克斯定理应用。

If we apply Stokes' theorem to compute the work done by the electric field around a closed curve, that means you have a wire in there and you want to find the voltage along the wire.

如果用Stokes定理计算的话，电场对一条封闭曲线做的功，比如说，电厂中有一个金属线圈，想要知道金属线圈的电压是多少。