Mathematica Learn How to Plot Vector and Stream Plots in Mathematica

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The discussion centers on plotting the electric field vector given by the equation $$\vec{E} = -E\cos\theta\left(1 + \frac{2a^3}{r^3}\right)\hat{e_r} + E\sin\theta\left(1 - \frac{a^3}{r^3}\right)\hat{e_{\theta}}$$ in Mathematica. Participants inquire about the specific values for parameters a and E, suggesting a = 1.35 and E = 1.66, and seek guidance on how to implement the plot in Mathematica. The conversation emphasizes the need for clarity in visualizing the electric field's behavior based on these parameters, indicating a focus on both the mathematical formulation and its graphical representation.
Dustinsfl
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$$
\vec{E} = -E\cos\theta\left(1 + \frac{2a^3}{r^3}\right)\hat{e_r} + E\sin\theta\left(1 - \frac{a^3}{r^3}\right)\hat{e_{\theta}}.
$$

How can I plot this in Mathematica?
 
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dwsmith said:
$$
\vec{E} = -E\cos\theta\left(1 + \frac{2a^3}{r^3}\right)\hat{e_r} + E\sin\theta\left(1 - \frac{a^3}{r^3}\right)\hat{e_{\theta}}.
$$

How can I plot this in Mathematica?

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

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