A typical car battery can be modeled as an ideal source \(\mathscr{E}\) connected in series with an internal resistance \(R_{\text {batt }}\). Using a good battery of this design to "jump start" a dead one can be dangerous if done incorrectly.

(a) If you want to connect a good battery to a dead one in such a way that you have the smallest possible current through the dead one, should you connect them in series \((+\) to - and - to + ) or in parallel ( + to + and - to -\()\) ? Assume you have a good battery for which \(\mathscr{E}_{\text {good }}=12.0 \mathrm{~V}\) and \(R_{\text {batt, good }}=0.0200 \Omega\) and a dead one for which \(\mathscr{E}_{\text {dead }}=11.0 \mathrm{~V}\) and \(R_{\text {batt, dead }}=0.200 \Omega\). Calculate the current through the batteries connected 

\((b)\) in series and

(c) in parallel.