**Educational Content: Magnetic Fields and Induced Current****Problem 2:** A uniform magnetic field $ \mathbf{B} $ is perpendicular to the plane of a circular loop with a diameter of 10 cm. This loop is formed from a wire with a diameter of 2.5 mm and a resistivity of $ 1.69 \times 10^{-8} \,\Omega \cdot \text{m} $. Determine the rate at which the magnitude of $ \mathbf{B} $ must change to induce a current of 10 A in the loop.**Given:**- Diameter of the circular loop ($D_{\text{loop}}$): 10 cm.- Diameter of the wire ($D_{\text{wire}}$): 2.5 mm.- Resistivity of the wire ($\rho$): $1.69 \times 10^{-8} \,\Omega \cdot \text{m}$.- Desired induced current ($I$): 10 A.**Objective:**Calculate the rate of change of the magnetic field ($\frac{dB}{dt}$) required to induce the specified current in the loop.**Reference:**For further information and context, refer to problem 8, chapter 30 in "Fundamentals of Physics."Note: This problem involves the application of Faraday's law of induction and Ohm's law to compute the required rate of change of the magnetic field. Students are encouraged to review the relevant concepts and equations in their textbook.

Answered: Image /qna-images/answer/64eb0481-86b0-4029-baa9-c0de41870af0.jpg

2. A uniform magnetic field B is perpendicular to the plane of a circular loop of diameter 10 cm formed from wire of diameter 2.5 nm and resisistivity 1.69 × 10-8 N · m. At what rate must the magnitude of B change to induce a 10 A current in the loop? (See problem 8, chapter 30 in Fundamentals of Physics)

2. A uniform magnetic field B is perpendicular to the plane of a circular loop of diameter 10 cm formed from wire of diameter 2.5 nm and resisistivity 1.69 × 10-8 N · m. At what rate must the magnitude of B change to induce a 10 A current in the loop? (See problem 8, chapter 30 in Fundamentals of Physics)

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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