**Title: Calculating Magnetic Fields Using Biot-Savart Law**---**Objective:**To use the Biot-Savart Law and Ampere’s Law to calculate magnetic fields and to explain the effects of changing magnetic fields using Faraday's Law of Induction.---**Problem Description:**A triangular framework is set up with a CO₂ ice block sliding on a pair of smooth rails. These rails are positioned 20 cm apart on an incline angled at 20°. A uniform magnetic field (\( B \)) is applied vertically downwards with a magnitude of 0.1 T. The task is to determine the constant speed at which the ice block slides down the rails.**Diagram Explanation:**The diagram shows a pair of parallel rails (represented by two lines) set at an incline. A block sits on the rails with arrows indicating the direction of motion and forces affecting it. The magnetic field is represented by arrows pointing downwards, indicating its vertical direction.**Solution Steps:**1. **Calculation of Gravitational Force Component:** - Calculate the gravitational force component along the incline using the weight of the CO₂ block and the inclination angle.2. **Magnetic Force Calculation Using Biot-Savart Law:** - Apply the Biot-Savart Law to determine the magnetic forces that act on the moving block along the rails.3. **Counteracting Forces Using Ampere’s Law:** - Consider forces acting perpendicularly provided by the current induced due to motion in the magnetic field, applying Ampere’s Law for detailed force interaction analysis.4. **Calculate Velocity using Faraday’s Law of Induction:** - Use Faraday’s Law to determine how the change in magnetic flux due to the motion of the block influences the system, enabling the calculation of velocity.5. **Concluding Calculation:** - Formulate an equation balancing forces and solve for the constant velocity of the sliding block.---**Conclusion:**This exercise demonstrates the integration of fundamental electromagnetic laws—Faraday’s, Biot-Savart, and Ampere’s— to solve practical physics problems involving magnetic fields and motion on inclined planes.

Answered: Image /qna-images/answer/3b2399a4-e879-4844-bfb7-741d3cf0622d.jpg

But-Savart Taw and Ampere's law, Apply fearaduy'y law of wry 6A G00a bar shder on Fails separateal by a distance' 200 cm ando located angle ahove The horizontale The rentorshoun is 3 Ro Auniferm masnetie field Co.GT) 1i dreeted vertically dowhwardcuer the entire region through which The har moves, What Conrtant speeed does the bur shder duwn The rails ? a pair of smouth an mcline plane that maner a 22° on

But-Savart Taw and Ampere's law, Apply fearaduy'y law of wry 6A G00a bar shder on Fails separateal by a distance' 200 cm ando located angle ahove The horizontale The rentorshoun is 3 Ro Auniferm masnetie field Co.GT) 1i dreeted vertically dowhwardcuer the entire region through which The har moves, What Conrtant speeed does the bur shder duwn The rails ? a pair of smouth an mcline plane that maner a 22° on

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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