24. Electric Force & Field; Gauss' Law

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?

For a point charge $q$ located at position $x=0$ on the x-axis, what is the mathematical expression for the electric field at the point $x=0$?

A parallel plate capacitor has plates separated by distance $d$ and carries a potential difference $V$ across its plates. What is the magnitude of the electric field strength inside the capacitor?

For two point charges, one with charge $+q$ and the other with charge $-q$, placed a distance $d$ apart, at which location along the line joining them can the electric field due to this combination of charges be zero?

What is the electric field at the position $(x_1,y_1,z_1)$ due to a point charge $q$ located at the origin?

What happens to the $kinetic energy$ of a $proton$ as it moves in a direction perpendicular to the $electric field$ lines in a uniform $electric field$?

Consider a point charge $q=1.0$ C located at point A. What is the magnitude of the electric field at a distance $r$ from the charge in vacuum?

A point charge $q$ is located at the origin. What is the magnitude of the electric field along the positive $z$ axis at a distance $z$ from the origin?

Consider two points $A$ and $B$ in a uniform electric field. If the electric potential at point $A$ is higher than at point $B$, which statement is correct about the work done by the electric field when moving a positive charge from $A$ to $B$?

Two large parallel conducting disks are separated by a distance $d$ and carry equal and opposite charges of magnitude $Q$. What is the electric field strength between the disks (neglecting edge effects)?

Given two point charges, $q_1$ located at position $a$ and $q_2$ at position $b$, what is the magnitude of the electric field at point 1? Assume $a=3.0\mathrm{cm}$ and $b=4.0\mathrm{cm}$.

What is the main purpose of mapping an $electricfield$?

If a charge distribution has electric field lines pointing into it, what is the sign of the net charge of the distribution?

Two very large parallel sheets of charge are separated by a distance $d$. If each sheet has a uniform surface charge density of $\sigma$ (one positive, one negative), what is the magnitude of the electric field in the region between the sheets?