$[0/12\mathrm{.}5$ Points$]$

SERCP$1118\mathrm{.}3\mathrm{.}0$P$\mathrm{.}011.$

The figure below shows a battery connected to a circuit. The potential difference across the battery and the resistance of each resistor is given in the figure.

$($i$)$

$($a$)$ What is the magnitude of the potential difference $($in V $)$ between points a and $b$ in the circuit?

You will need to find the current through the battery. To do this, you will need to find the equivalent resistance of the entire circuit. You will need to find the equivalent resistance in stages, starting with the right$-$most branch. Once you have the current, use it and the equivalent resistance between points a and $b$ to find the potential difference between those points. V

$($b$)$ What is the current $($in A $)$ in the $20\mathrm{.}0$ resistor?

How does the potential difference between points a and $b,$ found in part $(a),$ relate to the potential difference across the right$-$most branch? Can you use it and the equivalent resistance on this branch to find the current through this branch? A

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