What value of R3 maximizes the dissipation rate in resistance 3?

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Chapter1: Units, Trigonometry. And Vectors
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In the figure R1 = 2.11 Ω, R2 = 5.01 Ω, and the battery is ideal. What value of R3 maximizes the dissipation rate in resistance 3?

 

The image shows an electrical circuit diagram consisting of a battery, indicated on the left by a symbol with a long positive terminal and a short negative terminal. The battery is labeled with an electromotive force (emf), denoted as \( \mathcal{E} \), in red. 

The circuit includes three resistors connected in the following manner:
- \( R_1 \): Placed in series with the battery at the top of the circuit.
- \( R_2 \) and \( R_3 \): These resistors are connected in parallel to each other and are both connected in series with \( R_1 \).

The overall configuration illustrates a mixed resistor circuit consisting of both series and parallel components, which is a common setup in electrical circuits for dividing voltage and current among different components.
Transcribed Image Text:The image shows an electrical circuit diagram consisting of a battery, indicated on the left by a symbol with a long positive terminal and a short negative terminal. The battery is labeled with an electromotive force (emf), denoted as \( \mathcal{E} \), in red. The circuit includes three resistors connected in the following manner: - \( R_1 \): Placed in series with the battery at the top of the circuit. - \( R_2 \) and \( R_3 \): These resistors are connected in parallel to each other and are both connected in series with \( R_1 \). The overall configuration illustrates a mixed resistor circuit consisting of both series and parallel components, which is a common setup in electrical circuits for dividing voltage and current among different components.
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