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Coulomb Force, Field and Potential

The electrostatics chapter starts with Coulomb force, electric field, electric force, and electric potential.

Coulomb force

\vec F=\frac{1}{4\pi\epsilon_0\epsilon_r}\frac{q_1q_2}{|\vec r|^3}\vec r=\frac{1}{4\pi\epsilon_0\epsilon_r}\frac{q_1q_2}{|\vec r|^2}\hat r

Electric field

\vec E=\frac{\vec F}{q_0}

Electric force

\vec F=q\vec E

Electric potential

V_P=\left[\frac{(W_{\infty P})_{ext}}{q}\right]_{acc=0}

$q$

charge

$E$

electric field or energy depending on context

$V$

potential difference or potential