Question
Provide the comparison (analogy) between Electro Statics and Magnetism.

Answer

Electro Statics Magnetism
1Permittivity of free space $($ vaccum $)-\varepsilon_0$1Permeability of free space (vacuum) $-\mu_0$
2Constant $\frac{1}{4 \pi \varepsilon_0}$2Constant $\frac{\mu_0}{4 \pi}$
3Electric Charge $q$3Pole Strength $q_m$
4Electric dipole moment
$p=2 a q$
Direction : $-q$ to $+q$
4Magnetic dipole moment
$m=2 l q_m$
Direction : S to N
5Electric Field ( $\vec{E}$ )5Magnetic Field ( $\vec{B}$ )
6Force acting between two stationary point charges
$F =\frac{1}{4 \pi \varepsilon_0} \cdot \frac{q_1 q_2}{r^2}$
6Magnetic force acting between two stationary magnetic poles,
$F =\frac{\mu_0}{4 \pi} \cdot \frac{q_{m_1} \cdot q_{m_2}}{r^2}$
7Electric field on the axis of an electric dipole
$E =\frac{1}{4 \pi \varepsilon_0} \cdot \frac{2 p}{r^3}$
7Magnetic field on the axis of a magnetic dipole
$B =\frac{\mu_0}{4 \pi} \cdot \frac{2 m}{r^3}$
8Electric field on the equatorial axis of electric dipole
$E =\frac{-1}{4 \pi \varepsilon_0} \cdot \frac{p}{r^3}$
8Magnetic field on the equatorial axis of a magnetic dipole
$B =\frac{-\mu_0}{4 \pi} \cdot \frac{m}{r^3}$
9Torque acting on an electric dipole in uniform electric field $\vec{\tau}=\vec{p} \times \overrightarrow{ E }$9Torque acting on a magnetic dipole in uniform magnetic field $\vec{\tau}=\vec{m} \times \overrightarrow{ B }$
10Potential energy of an electric dipole in uniform electric field
$\begin{aligned}
U & =-\vec{p} \cdot \overrightarrow{ E } \\
& =-p E \cos \theta
\end{aligned}$
10Potential energy of a magnetic dipole in uniform magnetic field
$\begin{aligned}
U & =-\vec{m} \cdot \overrightarrow{ B } \\
& =-m B \cos \theta
\end{aligned}$
11Work required to be done in moving an electric dipole from angle $\theta_1$ to $\theta_2$ in uniform electric field, $W =p E \left(\cos \theta_1-\cos \theta_2\right)$11Work required to be done in moving a magnetic dipole from angle $\theta_1$ to $\theta_2$ in uniform magnetic field, $W = mB \left(\cos \theta_1-\cos \theta_2\right)$

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