Question

The force exerted by an electric charge at the origin on a charged particle at a point $(x, y, z)$ with position vector $\mathbf{r}=\langle x, y, z\rangle$ is $\mathbf{F}(r)=\frac{K \mathbf{r}}{|\mathbf{r}|^{3}}$ where $K$ is a constant. (See this example.) Find the work done as the particle moves along a straight line from $(5,0,0)$ to $(5,3,5)$.

Name: the force exerted by an electric charge at the origin on a charged particle at a point x y z with position vector mathbfrlangle x y zrangle is mathbffrfrack mathbfrmathbfr3 where k is a cons 14056
Uploaded: 2022-09-13T17:57:35-08:00
Duration: 4 min 24 s
Channel: Hemraj Kumawat
Description: the force exerted by an electric charge at the origin on a charged particle at a point x y z with position vector mathbfrlangle x y zrangle is mathbffrfrack mathbfrmathbfr3 where k is a cons 14056

          The force exerted by an electric charge at the origin on a charged particle at a point $(x, y, z)$ with position vector
$\mathbf{r}=\langle x, y, z\rangle$ is
$\mathbf{F}(r)=\frac{K \mathbf{r}}{|\mathbf{r}|^{3}}$
where $K$ is a constant. (See this example.) Find the work done as the particle moves along a straight line from $(5,0,0)$ to $(5,3,5)$.

$the force exerted by an electric charge at the origin on a charged particle at a point x y z with position vector mathbfrlangle x y zrangle is mathbffrfrack mathbfrmathbfr3 where k is a cons 14056$

Added by Tiffany M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Hemraj Kumawat

09/13/2022

Step 1

The work done by a force field $\mathbf{F}$ along a curve $C$ is given by the line integral $W = \int_C \mathbf{F} \cdot d\mathbf{r}$. First, let's express the force field in terms of its components. We have $\mathbf{r} = \langle x, y, z \rangle$, so Show more…

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The force exerted by an electric charge at the origin on a charged particle at a point $(x, y, z)$ with position vector $\mathbf{r}=\langle x, y, z\rangle$ is $\mathbf{F}(r)=\frac{K \mathbf{r}}{|\mathbf{r}|^{3}}$ where $K$ is a constant. (See this example.) Find the work done as the particle moves along a straight line from $(5,0,0)$ to $(5,3,5)$.