24. Electric Force & Field; Gauss' Law

A point charge $q$ is located at the origin. What is the magnitude $E$ of the electric field at the point on the x-axis with x-coordinate $\frac{a}{2}$?

Given a point charge of $q$ located at a distance $r$ from the dot in (figure 1), what is the strength of the electric field at the position of the dot?

A large non-conducting slab of thickness $d$ has a uniform volume charge density $\rho$. What is $E_{\mathrm{in}}\left(x\right)$, the magnitude of the electric field at a distance $x$ from the center of the slab (where $\left|x\right|<\frac{d}{2}$)?

Given a positive point charge located to the left of a dot, what is the direction of the electric field at the dot?

Which of the following best describes the electric field strength at point A due to a point charge $q$ located a distance $r$ away from point A?

A point charge of $q$ is located at the origin. What is the magnitude of the electric field at point 1, which is a distance $r$ from the charge?

Which of the following statements is true about a polarized object in an external $E$lectric field?

A point charge of $\mathrm{+2}C$ is located at the origin. What are the magnitude and direction of the electric field at a point $3m$ to the right of the origin along the x-axis?

An electron is placed at a point in an $E$lectric field as shown in figure 3. What is the direction of the force acting on the electron at this point?

Every charge has an $\mathrm{electric}$ field.

If the electric field $E$ points along one of the primary axes in a Cartesian coordinate system, along which axis does it point?

For a long, straight, uniformly charged wire, in which direction does the electric field point at a location on the surface of a cylindrical Gaussian surface surrounding the wire?

Which of the following statements about electric field lines around ${\mathrm{point}}_{\mathrm{charges}}$ is correct?

A point charge of $+q$ is located at the origin. What are the magnitude and direction of the electric field at a point located a distance $r$ to the right of the origin along the x-axis?

Consider four different charge configurations, each with a dot marked at a specific location: (A) a single point charge $q$ placed $r$ meters away from the dot, (B) two point charges $q$ and $-q$ placed symmetrically at equal distances $r$ from the dot, (C) a uniformly charged ring of total charge $Q$ with the dot at its center, and (D) a single point charge $2q$ placed $r$ meters away from the dot. In which case does the electric field at the dot have the largest magnitude?