### Problem DescriptionA metal strip 5.31 cm long, 0.640 cm wide, and 0.908 mm thick moves with constant velocity through a uniform magnetic field \( B = 1.24 \text{ mT} \) directed perpendicular to the strip, as shown in the figure. A potential difference of 5.80 \( \mu \text{V} \) is measured between points \( x \) and \( y \) across the strip. Calculate the speed \( v \).### Diagram ExplanationThe provided diagram shows a rectangular metal strip moving with constant velocity \( \mathbf{v} \) upwards (indicated by a magenta arrow). The magnetic field \( \mathbf{B} \) is directed such that it points into the plane of the paper, represented by green crosses (× symbols). Points \( x \) and \( y \) are marked along the width of the strip, indicating where the potential difference is measured.### Required CalculationTo solve for the speed \( v \), use the formula derived from electromagnetic induction principles in a moving conductor within a magnetic field:\[ \epsilon = B \cdot v \cdot d \]Where:- \( \epsilon \) is the potential difference (5.80 \( \mu \text{V} \))- \( B \) is the magnetic field strength (1.24 mT)- \( v \) is the velocity of the strip (what we need to find)- \( d \) is the width of the strip (0.640 cm)Input fields for the solution (answer in the correct units):- **Number**: [Input Field]- **Units**: [Input Field; options like cm/s, m/s, etc.]Make sure to rearrange the formula to solve for \( v \):\[ v = \frac{\epsilon}{B \cdot d} \]### Example SolutionTo find the right answer, substitute values for \( \epsilon \), \( B \), and \( d \) into the formula:\[ v = \frac{5.80 \times 10^{-6} \text{ V}}{1.24 \times 10^{-3} \text{ T} \times 0.00640 \text{ m}} \]

A metal strip 5.31 cm long, 0.640 cm wide, and 0.908 mm thick moves with constant velocity through a uniform magnetic field B = 1.24 mT directed perpendicular to the strip, as shown in the figure. A potential difference of 5.80 µV is measured between points x and y across the strip. Calculate the speed v. Number Units X X X

A metal strip 5.31 cm long, 0.640 cm wide, and 0.908 mm thick moves with constant velocity through a uniform magnetic field B = 1.24 mT directed perpendicular to the strip, as shown in the figure. A potential difference of 5.80 µV is measured between points x and y across the strip. Calculate the speed v. Number Units X X X

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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