Comparison of Electric and Magnetic Dipoles

Editors ：蕭淇元

Advisor ：江簡富教授

The magnetic field due to a magnetic dipole $\hat{z}m$ can be calculated as $\overline{H}=\displaystyle \frac{m}{4 \pi r^3}(\hat{r}2\cos{\theta} + \hat{\theta}\sin{\theta})$

where the magnetic dipole can be implemented by a current loop of area $a$

carrying current $i$ with $m = ia$. This field is dual to the electric field

generated by an electric dipole moment of $\overline{p} = \hat{z}p$, namely, $\overline{E}=\displaystyle \frac{p}{4 \pi \epsilon_0 r^3}(\hat{r}2\cos{\theta} + \hat{\theta}\sin{\theta})$

                          Electric Field of an Electric Dipole [V/m]                                                               Electric Potential of an Electric Dipole [V]

                          Magnetic Field of a Magnetic Dipole [A/m]                                                          Magnetic Potential of a Magnetic Dipole [A]