24. Electric Force & Field; Gauss' Law

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?

If two equal charges are separated by some distance, they form an electric dipole. Find the electric field at the center of an electric dipole, given by the point P in the following figure, formed by a 1C and a −1C charge separated by 1 cm.

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?

If a point charge of $Q$ is placed at a distance $r$ above the ground, what is the approximate magnitude of the electric field at a point midway between the charge and the ground (neglecting edge effects and assuming the ground acts as a conducting plane)?

As a proton moves in the direction of the electric field lines, which of the following statements is true about its electric potential energy ($U$)?

If two parallel membranes are separated by a distance of $d$ and a potential difference of $V$ is applied across them, what is the magnitude of the electric field between the membranes?

What is the primary function of the third prong on the plug of an electric appliance?

Two point charges are placed on the x-axis: a charge of $\mathrm{+2}\mu C$ at $x=-0.5m$ and a charge of $-2\mu C$ at $x=\mathrm{+0.5}m$. What is the magnitude of the net electric field at the origin? (Assume $k=8.99\times 109^N{m}^2{C}^{-2}$)

An electron moving to the right at 7.5 x 10⁵ m/s enters a uniform electric field parallel to its direction of motion. If the electron is to be brought to rest in the space of 5.0 cm,

(a) what direction is required for the electric field, and

(b) what is the strength of the field?