Electric Charge and Fields Quiz

Quantization of charge refers to the fact that electric charge is always found in discrete, indivisible amounts, and cannot be divided into smaller parts.

The conservative nature of charge means that the total electric charge in an isolated system remains constant over time, it can neither be created nor destroyed.

Two basic properties of electric charge are quantization and conservation.

<p>No two electric lines of force cross each other because at the point of intersection, there would be two different directions of the electric field, which is not physically possible.</p> Signup and view all the answers

<p>No work is done because the potential on an equipotential surface is constant; hence, there is no change in potential energy of the test charge as it moves over the surface.</p> Signup and view all the answers

<p>Electric potential energy is the work done in assembling a system of charges. For two charges q1 and q2 separated by distance r, the electric potential energy is given by: $U = \dfrac{kq_1q_2}{r}$</p> Signup and view all the answers

<p>Electric dipole moment is the product of the magnitude of one of the charges and the vector separating the charges. The electric potential at a point P due to an electric dipole is given by: $V = \dfrac{k \cdot p \cdot \cos(\theta)}{r^2}$, where p is the dipole moment, θ is the angle between the dipole moment vector and the line connecting the point to the midpoint of the dipole, and r is the distance between the point and the midpoint of the dipole.</p> Signup and view all the answers

<p>Electric flux is the total number of electric field lines passing through a given area. For a charged thin sheet with charge density σ, the electric field intensity at a point outside the sheet is given by: $E = \dfrac{\sigma}{2\varepsilon_0}$, and inside the sheet, the electric field intensity is zero.</p> Signup and view all the answers

<p>Electric potential is the electric potential energy per unit charge. For a monopole of charge Q at a distance r, the electric potential is given by: $V = \dfrac{kQ}{r}$</p> Signup and view all the answers

<p>Capacitance of a parallel plate capacitor is the ability of the capacitor to store charge per unit voltage. When a dielectric is introduced, the capacitance increases and is given by $C = \varepsilon_r \varepsilon_0 \frac{A}{d}$, where $\varepsilon_r$ is the relative permittivity of the dielectric.</p> Signup and view all the answers

<p>The principle of a capacitor is to store electric charge by creating an electric field. The capacitance of a parallel plate capacitor is given by $C = \varepsilon_0 \frac{A}{d}$, where $\varepsilon_0$ is the permittivity of free space, A is the area of the plates, and d is the distance between the plates.</p> Signup and view all the answers

<p>The energy stored in a capacitor is given by $U = \frac{1}{2} CV^2$, where C is the capacitance and V is the voltage across the capacitor. This energy is stored in the electric field between the capacitor plates.</p> Signup and view all the answers

<p>A Gaussian surface is an imaginary closed surface used to calculate the electric field. For a charged hollow conducting shell, the electric field intensity is: (i) inside the shell, E = 0, (ii) outside the shell, $E = \dfrac{kQ}{r^2}$, and (iii) on the surface, E = 0.</p> Signup and view all the answers

<p>When a dielectric is introduced, (a) Capacitance increases, (b) Charge remains the same, (c) Potential decreases, (d) Electric field decreases, and (e) Total energy stored increases.</p> Signup and view all the answers

<p>When the distance doubles, (a) Capacitance decreases, (b) Charge remains the same, (c) Potential decreases, (d) Electric field decreases, and (e) Total energy stored decreases.</p> Signup and view all the answers