Engineering Physics-I Quiz

The electric potential due to a single point charge is given by the expression $V = \frac{kq}{r}$, where $V$ is the electric potential, $k$ is the Coulomb's constant, $q$ is the magnitude of the charge, and $r$ is the distance from the charge.

Electric potential at a point in an electric field is the amount of work done in bringing a unit positive charge from infinity to that point. It is denoted by $V$ and is related to the electric field $E$ by the equation $V = -\int E \cdot dr$, where $V$ is the electric potential and $E$ is the electric field.

Coulomb's Law states that the force between two point electric charges is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance between their centers. Mathematically, it can be expressed as $F = k \frac{q_1q_2}{r^2}$, where $F$ is the force, $q_1$ and $q_2$ are the magnitudes of the charges, $r$ is the distance between the charges, and $k$ is the Coulomb's constant.

<p>The magnetic effect of current refers to the generation of a magnetic field around a current-carrying conductor. The expression for the magnetic field produced by a current-carrying wire is given by Ampère's law as $B = \frac{\mu_0 I}{2\pi r}$, where $B$ is the magnetic field, $\mu_0$ is the permeability of free space, $I$ is the current, and $r$ is the distance from the wire.</p> Signup and view all the answers

<p>An electric dipole consists of two equal and opposite point charges separated by a small distance. The electric field intensity due to an electric dipole at a point on the equatorial line is given by the expression $E = \frac{1}{4\pi\varepsilon_0} \frac{2p}{r^3}$, where $E$ is the electric field intensity, $p$ is the dipole moment, $r$ is the distance from the dipole, and $\varepsilon_0$ is the permittivity of free space.</p> Signup and view all the answers