---
title: "The electric potential in a region of the \\(xy\\)-plane is described by the function \\(V(x, y) = 3x^2y – y^3\\), where \\(V\\) is in volts and \\(x\\) and \\(y\\) are in meters. What is the magnitude of the electric field at the point \\((x, y) = (1.0\\text{ m}, 2.0\\text{ m})\\)?"
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url: "https://nerd-notes.com/ubq/121041/"
date_modified: "2026-08-23T04:57:32+00:00"
---

# The electric potential in a region of the \(xy\)-plane is described by the function \(V(x, y) = 3x^2y – y^3\), where \(V\) is in volts and \(x\) and \(y\) are in meters. What is the magnitude of the electric field at the point \((x, y) = (1.0\text{ m}, 2.0\text{ m})\)?

The electric potential in a region of the \(xy\)-plane is described by the function \(V(x, y) = 3x^2y - y^3\), where \(V\) is in volts and \(x\) and \(y\) are in meters. What is the magnitude of the electric field at the point \((x, y) = (1.0\text{ m}, 2.0\text{ m})\)?

- **A.** \(12\text{ V/m}\)
- **B.** \(15\text{ V/m}\)
- **C.** \(21\text{ V/m}\)
- **D.** \(27\text{ V/m}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/121041/*