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AP Physics C: E&M
11.6 Kirchhoff’s Loop Rule
11.5 Compound Direct Current Circuits
BeginnerMCQMathematical18.9k
A rectangular DC circuit schematic. The left vertical wire contains an ideal battery labeled \(\mathcal{E}\), with its long positive terminal line on top and short negative terminal line on the bottom. The top horizontal wire contains a resistor labeled \(R_1 = 4.0\text{ }\Omega\). To the right, the circuit divides into two parallel vertical branches. The inner vertical branch contains a single-pole switch labeled \(S_1\) in series with a resistor labeled \(R_2 = 8.0\text{ }\Omega\). The outer vertical branch contains a single-pole switch labeled \(S_2\) in series with a resistor labeled \(R_3 = 8.0\text{ }\Omega\). The bottom wire connects all three vertical branches back to the negative terminal of the battery. No other components, text, or labels appear.
Schematic diagram of the multi-loop circuit.
An ideal battery of electromotive force \(\mathcal{E} = 24 \text{ V}\) is connected in series with a resistor \(R_1 = 4.0 \text{ }\Omega\), and this combination is connected across two parallel branches. The first branch contains a switch \(S_1\) in series with a resistor \(R_2 = 8.0 \text{ }\Omega\), and the second branch contains a switch \(S_2\) in series with a resistor \(R_3 = 8.0 \text{ }\Omega\). Initially, switch \(S_1\) is closed and switch \(S_2\) is open. Switch \(S_2\) is then also closed. What is the total electric current supplied by the battery after switch \(S_2\) is closed?

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