**Educational Content: Induced Current in a Circular Loop****Problem Description:**A circular loop of wire with a radius of 0.0290 m and resistance of 0.300 Ω is placed in a region with a spatially uniform magnetic field. This setup is illustrated in Figure 1. Initially, the magnetic field is directed into the plane of the figure, and at time \( t = 0 \), the magnetic field \( B = 0 \). The magnetic field then begins to increase according to the equation \( B(t) = (0.370 \, \text{T/s}^3) \, t^3 \).For additional problem-solving techniques and strategies, consider viewing a Video Tutor Solution titled *Lenz's law and the direction of induced current*.**Figure Description:**The figure shows a circular loop with radius \( r \), situated in a magnetic field denoted by \( \vec{B} \). The magnetic field lines are directed into the plane of the page, indicated by multiple "X" symbols surrounding the loop.**Part A: Calculation Task**Calculate the magnitude of the current in the loop at the moment when the magnetic field \( B = 1.28 \, \text{T} \).- Input Field: Express your answer with the appropriate units.- Placeholder: \( I = \) [Value] [Units]- Submission: Use the submit button to verify the answer.**Part B: Conceptual Task**Determine the direction of the current induced in the loop.- Options: - Counterclockwise - Clockwise- Submission: Choose the correct direction and submit to confirm your choice.**Feedback:**If you require further assistance or explanations, feel free to provide feedback or request additional answers.

Given, The radius of the circular loop, r=0.0290 m The resistance of the loop, R=0.300 Ω The magnetic field, Bt=0.370 T/s3t3Part A The value of time will be, B=0.370t31.28=0.370t3t3=1.280.37t3=3.459 t=1.512 The current flowing in the loop is given by, I=eR where e is the induced EMF, I=1R×dϕdt=πr2RdBdt=3.14×0.02920.300×ddt0.370t3=8.80×10-3×3×0.37t2=8.80×10-3×3×0.37×1.5122=22.33×10-3=22.33 mA Hence the magnitude of the current in the loop will be 22.33 mA.Part B Now according to the Lenz law, the direction of current in the loop will be counter clockwise for reducing the inward flux.

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A circular loop of wire with radius 0.0290 m and resistance 0.300 Nis in a region of spatially uniform magnetic field, as shown in (Figure 1). The magnetic field is directed into the plane of the figure. At t = 0, B = 0. The magnetic field then begins increasing, with B(t) =(0.370 T/s³) t³. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Lenz's law and the direction of induced current. Figure X X X X X X X X X X X X X X X X X X 1 of 1 > Part A What is the current in the loop (magnitude) at the instant when B = 1.28 T ? Express your answer with the appropriate units. I = Submit Part B 01 Value μA Request Answer What is the direction O counterclockwise clockwise Provide Feedback Submit Request Answer Units current in the loop? ?

A circular loop of wire with radius 0.0290 m and resistance 0.300 Nis in a region of spatially uniform magnetic field, as shown in (Figure 1). The magnetic field is directed into the plane of the figure. At t = 0, B = 0. The magnetic field then begins increasing, with B(t) =(0.370 T/s³) t³. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Lenz's law and the direction of induced current. Figure X X X X X X X X X X X X X X X X X X 1 of 1 > Part A What is the current in the loop (magnitude) at the instant when B = 1.28 T ? Express your answer with the appropriate units. I = Submit Part B 01 Value μA Request Answer What is the direction O counterclockwise clockwise Provide Feedback Submit Request Answer Units current in the loop? ?

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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