Suppose we want to verify the analogy between electrostatic and magnetostatic by an explicit experiment. Consider the motion of (i) electric dipole $\overrightarrow{\mathrm{p}}$ in an electrostatic field $\overrightarrow{\mathrm{E}}$ and (ii) magnetic dipole $\overrightarrow{\mathrm{M}}$ in a magnetic field $\overrightarrow{\mathrm{B}}$. Write down a set of conditions on $\overrightarrow{\mathrm{E}}$, $\overrightarrow{\mathrm{B}}$, $\overrightarrow{\mathrm{p}}$, $\overrightarrow{\mathrm{M}}$ so that the two motions are verified to be identical. (Assume identical initial conditions).