EE-382 Electromagnetic Fields Week 10 Quiz
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Questions and Answers

What is the mathematical expression for Biot-Savart's law?

  • $\nabla \times \vec{H} = \vec{J}$
  • $\oint \vec{H} \cdot d\vec{l} = I_{enc}$
  • $\oint \frac{\mu_0}{4\pi} \frac{I d\vec{l} \times \hat{r}}{r^2}$ (correct)
  • $\nabla \cdot \vec{D} = \rho_v$

    • Which law relates the magnetic field along a closed path to the total current passing through the surface enclosed by the path?

  • Faraday's law
  • Ampere's law (correct)
  • Ohm's law
  • Gauss's law for magnetism

    • What is the mathematical expression for Ampere's law in integral form?

  • $\oint \vec{H} \cdot d\vec{l} = I_{enc}$
  • $\nabla \times \vec{H} = \vec{J}$
  • $\oint \vec{B} \cdot d\vec{l} = \mu_0 I_{enc}$ (correct)
  • $\nabla \cdot \vec{D} = \rho_v$

    • Which quantity is used to describe the circulation of a vector field in a given region?

    <p>Curl</p> Signup and view all the answers

    Which theorem relates the line integral of a vector field over a closed path to the surface integral of the curl of the field over the surface enclosed by the path?

    <p>Stoke's theorem</p> Signup and view all the answers

    What does the term 'magnetic flux density' refer to?

    <p>The degree of concentration of magnetic field lines in a given area</p> Signup and view all the answers

    What does Ampere's circuit law relate to?

    <p>The magnetic field along a closed path to the total current passing through the surface enclosed by the path</p> Signup and view all the answers

    What does Biot-Savart's law provide a mathematical expression for?

    <p>The magnetic field produced by a steady current</p> Signup and view all the answers

    Which theorem relates the line integral of a vector field over a closed path to the surface integral of the curl of the field over the surface enclosed by the path?

    <p>Stoke’s theorem</p> Signup and view all the answers

    What does the term 'magnetic flux density' refer to?

    <p>The magnetic field strength in a given region</p> Signup and view all the answers

    Which quantity is used to describe the circulation of a vector field in a given region?

    <p>Curl</p> Signup and view all the answers

    What is the focus of the lectures related to Electromagnetic Fields (EE-382)?

    <p>Understanding Biot-Savart’s Law and Ampere's circuit law</p> Signup and view all the answers

    What is the focus of the lectures related to Electromagnetic Fields (EE-382)?

    <p>Energy and potential in electric fields</p> Signup and view all the answers

    What do the lectures aim to help students understand?

    <p>Potential field of a point charge</p> Signup and view all the answers

    Which theorem relates the line integral of a vector field over a closed path to the surface integral of the curl of the field over the surface enclosed by the path?

    <p>Stokes' theorem</p> Signup and view all the answers

    What is the mathematical expression for Biot-Savart's law?

    <p>$B = \frac{μ_0}{4π} \int \frac{I(dl × r)}{r^3}$</p> Signup and view all the answers

    Which law relates the magnetic field along a closed path to the total current passing through the surface enclosed by the path?

    <p>Ampere's circuit law</p> Signup and view all the answers

    What does the term 'magnetic flux density' refer to?

    <p>$B$ in $T$ at a point in space</p> Signup and view all the answers

    Which quantity is used to describe the circulation of a vector field in a given region?

    <p>$∮B⋅ds = μ_0I$</p> Signup and view all the answers

    Study Notes

    Biot-Savart's Law and Electromagnetic Fields

    • The mathematical expression for Biot-Savart's law is: dB = (μ₀I dl × r) / 4πr²
    • This law provides a mathematical expression for the magnetic field dB at a point in space due to a small current element I dl

    Ampere's Law

    • Ampere's law relates the magnetic field along a closed path to the total current passing through the surface enclosed by the path
    • The mathematical expression for Ampere's law in integral form is: ∮B · dl = μ₀I
    • Ampere's circuit law relates the magnetic field around a closed path to the total current passing through the surface enclosed by the path

    Magnetic Flux Density and Circulation

    • The term 'magnetic flux density' refers to the magnetic field per unit area
    • The quantity used to describe the circulation of a vector field in a given region is the line integral of the field

    Stokes' Theorem

    • Stokes' theorem relates the line integral of a vector field over a closed path to the surface integral of the curl of the field over the surface enclosed by the path
    • The theorem states: ∮F · dl = ∫∫(∇ × F) · dS

    Electromagnetic Fields (EE-382)

    • The focus of the lectures related to Electromagnetic Fields (EE-382) is on understanding the magnetic field and its applications
    • The lectures aim to help students understand the concepts of magnetic fields, Biot-Savart's law, and Ampere's law, and their applications in electromagnetic fields

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    Description

    Test your knowledge about the steady magnetic field concepts covered in Week 10 of EE-382 Electromagnetic Fields course for 3rd Semester BE Electronic Engineering at NED University of Engineering and Technology. This quiz covers Biot Savart’s Law, Ampere’s circuit law, curl, Stoke’s theorem, magnetic flux, and magnetic flux density.

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