\(1\,esu = 3.33 \times {10^{ - 10}}\,C\)

\(\frac{{1\,e}}{{1\,esu}} = \frac{{1.602 \times {{10}^{ - 19}}\,C}}{{3.33 \times {{10}^{ - 10}}\,C}}\)

\(1\,e = 4.802 \times {10^{ - 10}}\,esu\,\)

Dipole moment \(= q \times \) distance

\( \Rightarrow \,1\,D \approx {10^{ - 18}}\,esu\,cm\)

\(0.38 \times {10^{ - 18}}\,esu\,cm = q \times (1.61 \times {10^{ - 8}}\,cm)\)

\(q = 2.36 \times {10^{ - 11}}\,esu\)

\(q = \frac{{2.36 \times {{10}^{ - 11}}\,esu}}{{4.802 \times {{10}^{ - 10}}\,esu}}\)

\(q = 0.049\)

\(q \approx 0.05\) fractional charge