| Electrostatics | Magnetics |
| $(1)$ Constant: $\frac{1}{4\pi\epsilon_{0}}$ $(\epsilon_{0} = \text{permittivity of vacuum})$ | $(1)$ Constant: $\frac{\mu_{0}}{4\pi}$ $(\mu_{0} = \text{permeability of vacuum})$ |
| $(2)$ Source: Electric charge $q$ | $(2)$ Source: Magnetic pole strength $q_{m}$ |
| $(3)$ Dipole moment: $\vec{p} = (2\vec{a})q$ | $(3)$ Dipole moment: $\vec{m} = (2\vec{l})q_{m}$ |
| $(4)$ Force: $F = \frac{1}{4\pi\epsilon_{0}} \frac{q_{1}q_{2}}{r^{2}}$ | $(4)$ Force: $F = \frac{\mu_{0}}{4\pi} \frac{q_{m1}q_{m2}}{r^{2}}$ |
| $(5)$ Axial field: $\vec{E} = \frac{2\vec{p}}{4\pi\epsilon_{0}r^{3}}$ $(r \gg l)$ | $(5)$ Axial field: $\vec{B} = \frac{\mu_{0}}{4\pi} \frac{2\vec{m}}{r^{3}}$ $(r \gg l)$ |
| $(6)$ Equatorial field: $\vec{E} = -\frac{\vec{p}}{4\pi\epsilon_{0}r^{3}}$ $(r \gg l)$ | $(6)$ Equatorial field: $\vec{B} = -\frac{\mu_{0}}{4\pi} \frac{\vec{m}}{r^{3}}$ $(r \gg l)$ |
| $(7)$ Torque: $\vec{\tau} = \vec{p} \times \vec{E}$ | $(7)$ Torque: $\vec{\tau} = \vec{m} \times \vec{B}$ |
| $(8)$ Potential energy: $U = -\vec{p} \cdot \vec{E}$ | $(8)$ Potential energy: $U = -\vec{m} \cdot \vec{B}$ |
| $(9)$ Work done: $W = pE(\cos\theta_{1} - \cos\theta_{2})$ | $(9)$ Work done: $W = mB(\cos\theta_{1} - \cos\theta_{2})$ |
Explore More
| List-$I$ | List-$II$ |
| $(a)$ Magnetic Induction | $(i)$ ${ML}^{2} {T}^{-2} {A}^{-1}$ |
| $(b)$ Magnetic Flux | $(ii)$ ${M}^{0} {L}^{-1} {A}$ |
| $(c)$ Magnetic Permeability | $(iii)$ ${MT}^{-2} {A}^{-1}$ |
| $(d)$ Magnetization | $(iv)$ ${MLT}^{-2} {A}^{-2}$ |
| List-$I$ | List-$II$ |
| $(A)$ Magnetic induction | $(I)$ Ampere meter$^2$ |
| $(B)$ Magnetic intensity | $(II)$ Weber |
| $(C)$ Magnetic flux | $(III)$ Gauss |
| $(D)$ Magnetic moment | $(IV)$ Ampere meter |
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