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Linear Algebra
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One 10.0 Ω resistor is wired in series with two 5.0 Ω resistors in parallel. A 9.0 V battery supplies power to the circuit. What is the total current through the circuit?
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\[\begin{align}\rm R_{eq} &= 10 + \dfrac{5\cdot 5}{5 + 5} \\ & = 10 + 2.5\\ & = 12.5\end{align}\]\[\rm I = \dfrac{\mathcal E}{R} = \cdots\]
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