5 Questions
What is displacement current defined as?
A current which produces in the region where the electric field and electric flux change with time
Which equation represents Faraday’s law of electromagnetic induction?
$\oint \mathbf{E} \cdot d\mathbf{l} = -\frac{d}{dt}\int \mathbf{B} \cdot d\mathbf{A}$
What is the equation of a plane progressive electromagnetic wave?
$\mathbf{E}(t,x) = -E_0 \sin (wt - kx)$ and $\mathbf{B}(t,x) = -B_0 \sin (wt - kx)$
What are the properties of electromagnetic waves?
Transverse nature and propagate through space at speed of light
What is the speed of an electromagnetic wave represented by?
$c = \frac{1}{\sqrt{\mu_0\varepsilon_0}}$
Study Notes
Electromagnetic Waves
- Displacement current is defined as a current that appears to flow through a dielectric in a changing electric field.
Faraday's Law of Electromagnetic Induction
- Faraday's law of electromagnetic induction is represented by the equation: ε = -N(dΦ/dt), where ε is the electromotive force, N is the number of turns, and Φ is the magnetic flux.
Electromagnetic Wave Equation
- The equation of a plane progressive electromagnetic wave is E = E₀sin(kx - ωt), where E is the electric field, E₀ is the amplitude, k is the wave number, x is the position, and ω is the angular frequency.
Properties of Electromagnetic Waves
- Electromagnetic waves have both electric and magnetic field components, which are perpendicular to each other and the direction of propagation.
- Electromagnetic waves can travel through a vacuum and do not require a medium.
- Electromagnetic waves have a wide range of frequencies, including radio, microwave, infrared, visible, ultraviolet, and X-ray frequencies.
Speed of Electromagnetic Waves
- The speed of an electromagnetic wave is represented by the constant c, which is approximately 3 x 10^8 meters per second in a vacuum.
Test your knowledge about Maxwell's equations and displacement current with this quiz. Explore concepts such as displacement current, electric flux, and electromagnetic induction.
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