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