It is required to separate two proteins with the mobilities of \(\mu_{1}=8 \times 10^{-5} \mathrm{~m} \cdot \mathrm{C} /(\mathrm{N} \cdot \mathrm{s})\) and \(\mu_{2}=6 \times 10^{-5} \mathrm{~m} \cdot \mathrm{C} /(\mathrm{N} \cdot \mathrm{s})\), The diffusion coefficient is \(6 \times 10^{-11} \mathrm{~m}^{2} / \mathrm{s}\). The flow velocity is \(0.2 \mathrm{~mm} / \mathrm{s}\). The applied field is \(2000 \mathrm{~V} / \mathrm{m}\).

Find the trajectory of the "plumes" of the two proteins and the distance at which the two proteins can be separated.