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True or False: An electric field is a vector field which imbues the space it occupies with the ability to apply force to a charge
True or False: The following equation shows Coulomb's Law for a line charge
$\overline{E}=\frac{1}{4 \pi \epsilon_0} \int_{s^\prime} \frac{\rho_s (\overline{r}-\overline{r}^\prime)}{\bracevert \overline{r}-\overline{r}^\prime \bracevert^3} ds^\prime$
True or False: The following equation shows Coulomb's Law for a line charge
$\overline{E}=\frac{1}{4 \pi \epsilon_0} \int_{l^\prime} \frac{\rho_l (\overline{r}-\overline{r}^\prime)}{\bracevert \overline{r}-\overline{r}^\prime \bracevert^3} dl^\prime$
True or False: Gauss' Law states that the total charge enclosed by a surface can be calculated from the total electric flux going through the surface
Given two charges Q1 and Q2 separated by a distance R, what is the magnitude of the force $\bracevert F_1 \bracevert$ applied to each particle, assuming that$Q_1=1, Q_2=2, \epsilon_0=8.85 \times 10^{-12},$ and $R=5$ ?
Given charges at the following two locations, what is the unit vector $\hat{a}_{12}$ ?
$Q_1$ is at $(-3,2,5)$ and $Q_2$ is at $(5,-4,1)$
Given the following arrangement of three charges, what is the total electric field at point P?
$Q_1=2, Q_2=2, Q_3=1$
$Q_1$ is at $(1,1,1)$, $Q_2$ is at $(2,3,4)$, $Q_3$ is at $(0,-2,3)$
What is the work required to move a positively charged particle with $Q=5$, from $(-2,1,1) to (1,1,1)$ in the electric field given below?
$\overline{F}=5\hat{a}_x + 2\hat{a}_y - 3\hat{a}_z$
What is the voltage between $(-2,0,0)$ and $(1,1,1)$ with the electric field given below?
$\overline{F}=5\hat{a}_x + 2\hat{a}_y - 3\hat{a}_z$
If charge $Q_1$ is at the location given below, what is the voltage observed at $(0,-4,1)$?
$Q_1$ at $(2,2,-3)$ with charge $Q_1=5mC$
What is the equation for the total amount of work needed to pull 4 charges into a system from infinity in terms of the charges (Q)s and voltages (V)s?