The battery in Figure P31.95 has internal resistance (R_{text {batt }}=4.0 Omega) and maintains an (operatorname{emf} mathscr{E}=12.0

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The battery in Figure P31.95 has internal resistance \(R_{\text {batt }}=4.0 \Omega\) and maintains an \(\operatorname{emf} \mathscr{E}=12.0 \mathrm{~V}\). What is the resistance \(\mathrm{R}\) of the resistor connected in series with the battery if the current through the circuit is \(0.5 \mathrm{~A}\) ?

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