---
title: "A circuit consists of a single loop containing two nonideal batteries and an external resistor of resistance \\(R = 4.0\\text{ }\\Omega\\), as shown. Battery 1 has an emf \\(\\mathcal{E}_1 = 18\\text{ V}\\) and internal resistance \\(r_1 = 1.0\\text{ }\\Omega\\). Battery 2 has an emf \\(\\mathcal{E}_2 = 6.0\\text{ V}\\) and internal resistance \\(r_2 = 1.0\\text{ }\\Omega\\). What is the magnitude of the terminal potential difference across Battery 2?"
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url: "https://nerd-notes.com/ubq/121597/"
date_modified: "2026-08-23T05:24:15+00:00"
---

# A circuit consists of a single loop containing two nonideal batteries and an external resistor of resistance \(R = 4.0\text{ }\Omega\), as shown. Battery 1 has an emf \(\mathcal{E}_1 = 18\text{ V}\) and internal resistance \(r_1 = 1.0\text{ }\Omega\). Battery 2 has an emf \(\mathcal{E}_2 = 6.0\text{ V}\) and internal resistance \(r_2 = 1.0\text{ }\Omega\). What is the magnitude of the terminal potential difference across Battery 2?

A circuit consists of a single loop containing two nonideal batteries and an external resistor of resistance \(R = 4.0\text{ }\Omega\), as shown. Battery 1 has an emf \(\mathcal{E}_1 = 18\text{ V}\) and internal resistance \(r_1 = 1.0\text{ }\Omega\). Battery 2 has an emf \(\mathcal{E}_2 = 6.0\text{ V}\) and internal resistance \(r_2 = 1.0\text{ }\Omega\). What is the magnitude of the terminal potential difference across Battery 2?

![A rectangular circuit diagram oriented horizontally. The top horizontal branch contains a resistor labeled \(R = 4.0\text{ }\Omega\). The left vertical branch contains a battery labeled \(\mathcal{E}_1 = 18\text{ V}\) with its longer positive plate at the top and shorter negative plate below it, in series with an internal resistor labeled \(r_1 = 1.0\text{ }\Omega\). The right vertical branch contains a battery labeled \(\mathcal{E}_2 = 6.0\text{ V}\) with its longer positive plate at the top and shorter negative plate below it, in series with an internal resistor labeled \(r_2 = 1.0\text{ }\Omega\). The bottom horizontal branch consists of a plain solid connecting line. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787462655-z9SQXB.jpg)

- **A.** \(2.0\text{ V}\)
- **B.** \(4.0\text{ V}\)
- **C.** \(6.0\text{ V}\)
- **D.** \(8.0\text{ V}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/121597/*