---
title: "A circuit is constructed from two ideal batteries and three resistors, as shown in the diagram. Battery 1 has an electromotive force (emf) \\(\\varepsilon_1 = 24\\text{ V}\\), and battery 2 has an emf \\(\\varepsilon_2 = 8.0\\text{ V}\\). The resistors have resistances \\(R_1 = 3.0\\text{ }\\Omega\\), \\(R_2 = 4.0\\text{ }\\Omega\\), and \\(R_3 = 1.0\\text{ }\\Omega\\). What is the total rate at which electrical energy is converted into other forms of energy in the branch containing battery 2 and resistor \\(R_2\\)?"
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url: "https://nerd-notes.com/ubq/120442/"
date_modified: "2026-08-23T04:34:44+00:00"
---

# A circuit is constructed from two ideal batteries and three resistors, as shown in the diagram. Battery 1 has an electromotive force (emf) \(\varepsilon_1 = 24\text{ V}\), and battery 2 has an emf \(\varepsilon_2 = 8.0\text{ V}\). The resistors have resistances \(R_1 = 3.0\text{ }\Omega\), \(R_2 = 4.0\text{ }\Omega\), and \(R_3 = 1.0\text{ }\Omega\). What is the total rate at which electrical energy is converted into other forms of energy in the branch containing battery 2 and resistor \(R_2\)?

A circuit is constructed from two ideal batteries and three resistors, as shown in the diagram. Battery 1 has an electromotive force (emf) \(\varepsilon_1 = 24\text{ V}\), and battery 2 has an emf \(\varepsilon_2 = 8.0\text{ V}\). The resistors have resistances \(R_1 = 3.0\text{ }\Omega\), \(R_2 = 4.0\text{ }\Omega\), and \(R_3 = 1.0\text{ }\Omega\). What is the total rate at which electrical energy is converted into other forms of energy in the branch containing battery 2 and resistor \(R_2\)?

![A single rectangular circuit loop with horizontal top and bottom segments and vertical left and right segments. The left vertical segment contains an ideal battery labeled \(\varepsilon_1 = 24\text{ V}\), oriented with its longer horizontal plate at the top and shorter thicker plate below it. The top horizontal segment contains a resistor labeled \(R_1 = 3.0\text{ }\Omega\). The right vertical segment contains an ideal battery labeled \(\varepsilon_2 = 8.0\text{ V}\) with its longer horizontal plate at the top and shorter thicker plate below it, and directly below this battery on the same right wire is a resistor labeled \(R_2 = 4.0\text{ }\Omega\). The bottom horizontal segment contains a resistor labeled \(R_3 = 1.0\text{ }\Omega\). No other labels, lines, text, or circuit components appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787459683-5Hw04j.jpg)

- **A.** \(16\text{ W}\)
- **B.** \(32\text{ W}\)
- **C.** \(48\text{ W}\)
- **D.** \(96\text{ W}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120442/*