- #1
spaghetti3451
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- 34
Note from mentor: this thread was originally posted in a non-homework forum, therefore it lacks the homework template.
I was wondering if the electric charge density ##\rho({\bf{r}})## of a point charge ##q## at position ##{\bf{r}}_{0}## is given by ##\rho({\bf{r}})=q\delta^{(3)}({\bf{r}}-{\bf{r}}_{0})##.
If so, is this because ##\int d^{3}{\bf{r}}\ \rho({\bf{r}}) = \int d^{3}{\bf{r}}\ q\delta^{(3)}({\bf{r}}-{\bf{r}}_{0}) = q##?
I was wondering if the electric charge density ##\rho({\bf{r}})## of a point charge ##q## at position ##{\bf{r}}_{0}## is given by ##\rho({\bf{r}})=q\delta^{(3)}({\bf{r}}-{\bf{r}}_{0})##.
If so, is this because ##\int d^{3}{\bf{r}}\ \rho({\bf{r}}) = \int d^{3}{\bf{r}}\ q\delta^{(3)}({\bf{r}}-{\bf{r}}_{0}) = q##?