---
title: "A student attempts to construct a circuit to measure the current and potential difference associated with a resistor of resistance \\(R\\) connected across an ideal battery of electromotive force \\(\\mathcal{E}\\). However, the student mistakenly connects an ideal voltmeter in series with the resistor and battery. Which of the following correctly gives the electric current \\(I\\) in the circuit and the potential difference \\(V_V\\) measured by the voltmeter?"
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url: "https://nerd-notes.com/ubq/118354/"
date_modified: "2026-08-04T08:09:40+00:00"
---

# A student attempts to construct a circuit to measure the current and potential difference associated with a resistor of resistance \(R\) connected across an ideal battery of electromotive force \(\mathcal{E}\). However, the student mistakenly connects an ideal voltmeter in series with the resistor and battery. Which of the following correctly gives the electric current \(I\) in the circuit and the potential difference \(V_V\) measured by the voltmeter?

A student attempts to construct a circuit to measure the current and potential difference associated with a resistor of resistance \(R\) connected across an ideal battery of electromotive force \(\mathcal{E}\). However, the student mistakenly connects an ideal voltmeter in series with the resistor and battery. Which of the following correctly gives the electric current \(I\) in the circuit and the potential difference \(V_V\) measured by the voltmeter?

![A single-loop schematic circuit diagram on a clean background. On the left vertical segment, an ideal DC battery is labeled \mathcal{E}, with its positive terminal on top indicated by a longer horizontal line and negative terminal on bottom indicated by a shorter parallel line. The top horizontal segment contains a resistor labeled R shown as a standard zig-zag path. On the right vertical segment, an ideal voltmeter is shown as a circle containing a capital letter V. Clean straight lines connect these three components into a single closed rectangular loop in series. No other components, text, or construction markings appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785830980-Kq5EST.jpg)

- **A.** \(I = \dfrac{\mathcal{E}}{R}\) and \(V_V = 0\)
- **B.** \(I = 0\) and \(V_V = \mathcal{E}\)
- **C.** \(I = 0\) and \(V_V = 0\)
- **D.** \(I = \dfrac{\mathcal{E}}{R}\) and \(V_V = \mathcal{E}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/118354/*