Physics


Gen Phys 2

Electric charge, force, and field

1. Electric charge

1.1 Charge is conserved

1.2 Charge is quantized

1.3 Conductors, insulators, induced charge

2. Electric force

2.1 Coloumb's law

\begin{equation} \vec{F} = k \frac{q_1 q_2}{r^2} \hat{r} \end{equation} \begin{equation} \vec{F} = \frac{1}{4 \pi \epsilon_0} \frac{q_1 q_2}{r^2} \hat{r} \end{equation}

2.2 Force on a charge

2.3 Force on a dipole

3. Electric field

3.1 Due to a point charge

\begin{equation} \vec{E} = \frac{F}{q_{\, test}} \hat{r} \end{equation} \begin{equation} \vec{E} = \frac{1}{4 \pi \epsilon_0} \frac{q_{\, source}}{r^2} \hat{r} \end{equation}

3.2 Due to a dipole

\begin{equation} \vec{\tau} = \vec{p} \times \vec{E} \end{equation} \begin{equation} U = - \vec{p} \cdot \vec{E} \end{equation}

3.3 Due to a line charge

3.4 Due to a charged disc

4. Examples

Equations