Learn How to Plot Vector and Stream Plots in Mathematica

[Dustinsfl]

$$
\vec{E} = -E\cos\theta\left(1 + \frac{2a^3}{r^3}\right)\hat{e_r} + E\sin\theta\left(1 - \frac{a^3}{r^3}\right)\hat{e_{\theta}}.
$$

How can I plot this in Mathematica?

 

[Dustinsfl]

$$
\vec{E} = -E\cos\theta\left(1 + \frac{2a^3}{r^3}\right)\hat{e_r} + E\sin\theta\left(1 - \frac{a^3}{r^3}\right)\hat{e_{\theta}}.
$$

How can I plot this in Mathematica?

Would this be the E-field for a = 1.35 and E = 1.66?View attachment 431