**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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Concept explainers

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

Question

**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.

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