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title: "A flat rectangular loop of wire with an area of \\(0.20\\text{ m}^2\\) and a total electrical resistance of \\(2.0\\text{ }\\Omega\\) is located in a uniform magnetic field. The normal vector perpendicular to the plane of the loop makes an angle of \\(60^\\circ\\) with the direction of the magnetic field. The magnitude of the magnetic field decreases at a constant rate from \\(8.0\\text{ T}\\) to \\(0\\text{ T}\\) over a time interval of \\(0.50\\text{ s}\\). What is the magnitude of the induced electric current in the loop during this time interval?"
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url: "https://nerd-notes.com/ubq/123378/"
date_modified: "2026-09-28T11:58:18+00:00"
---

# A flat rectangular loop of wire with an area of \(0.20\text{ m}^2\) and a total electrical resistance of \(2.0\text{ }\Omega\) is located in a uniform magnetic field. The normal vector perpendicular to the plane of the loop makes an angle of \(60^\circ\) with the direction of the magnetic field. The magnitude of the magnetic field decreases at a constant rate from \(8.0\text{ T}\) to \(0\text{ T}\) over a time interval of \(0.50\text{ s}\). What is the magnitude of the induced electric current in the loop during this time interval?

A flat rectangular loop of wire with an area of \(0.20\text{ m}^2\) and a total electrical resistance of \(2.0\text{ }\Omega\) is located in a uniform magnetic field. The normal vector perpendicular to the plane of the loop makes an angle of \(60^\circ\) with the direction of the magnetic field. The magnitude of the magnetic field decreases at a constant rate from \(8.0\text{ T}\) to \(0\text{ T}\) over a time interval of \(0.50\text{ s}\). What is the magnitude of the induced electric current in the loop during this time interval?

![A flat parallelogram represents a rectangular wire loop viewed in perspective, tilted relative to the vertical. An arrow labeled n represents the normal vector pointing perpendicular to the face of the loop, tilted 60 degrees to the right of the vertical. Four vertical upward solid arrows, labeled B, represent the uniform magnetic field lines passing across the region of the loop. An arc between the vertical direction of the field arrows and the normal vector n is labeled 60^{\circ}. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1790596698-ufpd75.jpg)

- **A.** \(0.10\text{ A}\)
- **B.** \(0.20\text{ A}\)
- **C.** \(0.40\text{ A}\)
- **D.** \(0.80\text{ A}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/123378/*