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Questions and Answers
What is displacement current defined as?
What is displacement current defined as?
- A current which produces in the region where the magnetic field and electric flux change with time
- A current which produces in the region where the magnetic field and magnetic flux change with time
- A current which produces in the region where the electric field and magnetic flux change with time
- A current which produces in the region where the electric field and electric flux change with time (correct)
Which equation represents Faraday’s law of electromagnetic induction?
Which equation represents Faraday’s law of electromagnetic induction?
- $\oint \mathbf{E} \cdot d\mathbf{S} = \frac{q}{\varepsilon_0}$
- $\nabla \times \mathbf{B} = \mu_0 \mathbf{J}$
- $\oint \mathbf{B} \cdot d\mathbf{S} = \mu_0 \int J \cdot d\mathbf{S}$
- $\oint \mathbf{E} \cdot d\mathbf{l} = -\frac{d}{dt}\int \mathbf{B} \cdot d\mathbf{A}$ (correct)
What is the equation of a plane progressive electromagnetic wave?
What is the equation of a plane progressive electromagnetic wave?
- $\mathbf{E}(t,x) = E_0 \cos (wt - kx)$ and $\mathbf{B}(t,x) = B_0 \cos (wt - kx)$
- $\mathbf{E}(t,x) = E_0 \sin (wt + kx)$ and $\mathbf{B}(t,x) = B_0 \sin (wt + kx)$
- $\mathbf{E}(t,x) = -E_0 \sin (wt - kx)$ and $\mathbf{B}(t,x) = -B_0 \sin (wt - kx)$ (correct)
- $\mathbf{E}(t,x) = -E_0 \cos (wt + kx)$ and $\mathbf{B}(t,x) = -B_0 \cos (wt + kx)$
What are the properties of electromagnetic waves?
What are the properties of electromagnetic waves?
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What is the speed of an electromagnetic wave represented by?
What is the speed of an electromagnetic wave represented by?
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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.
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