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#Ampere-Maxwell law

3 public questions tagged with this topic.

Production of EM Waves and Hertz Experiment

What does the Ampere-Maxwell Law include as the source of a magnetic field?

**Hertz experiment** used induction coil connected to two rods with gap, spark produced oscillating charge, emitted EM wave, received by loop with gap sparking when E induced, measured wavelength by standing wave, demonstrated EM wave properties, validating Maxwell. The Ampere-Maxwell Law includes both conduction current and displacement current (due to the time rate of change of electric flux) as sources of a magnetic field, as per the document. Using c = fλ, E₀/B₀ = c, I_d = ε₀ dΦ_E/dt, and spectrum classification λ = c/f, evaluation yields Conduction current and displacement current, illust

Ref: NCERT > Physics Book > Electromagnetic Waves > Production of EM Waves and Hertz Experiment

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Electromagnetic Spectrum - Radio Waves and Microwaves

What does the Ampere-Maxwell law relate in Maxwell's equations?

**Radio waves** λ≈10⁻¹ to 10⁴ m, f≈10⁴ to 10⁹ Hz, produced by rapid acceleration/deceleration of electrons in aerials/antenna, used for long-distance communication because low frequency diffracts around obstacles and reflects from ionosphere, enabling ground wave and sky wave propagation, effective for broadcasting. The Ampere-Maxwell law relates the magnetic field to both the conduction current and the displacement current, given by oint B · d l = μ₀ i_c + μ₀ ε₀ (d Φ_E/dt) . Using c = fλ, E₀/B₀ = c, I_d = ε₀ dΦ_E/dt, and spectrum classification λ = c/f, evaluation yields Magnetic field to con

Ref: NCERT > Physics Book > Electromagnetic Waves > Electromagnetic Spectrum - Radio Waves and Microwaves

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Displacement Current and Ampere-Maxwell Law

What insight does the Ampere-Maxwell law provide about the symmetry of electromagnetic fields?

**Displacement current** I_d = ε₀ dΦ_E/dt, Φ_E = ∫ E·dA electric flux (V·m), ε₀=8.85×10⁻¹² F/m, ensures continuity of current in charging capacitor where conduction current stops between plates, I_d equals conduction current in wires, 3 A conduction ⇒ 3 A displacement, maintaining Ampere's law ∮ B·dl = μ₀(I_c+I_d). The Ampere-Maxwell law shows that just as a changing magnetic field induces an electric field (Faraday’s law), a changing electric field induces a magnetic field, highlighting the symmetry in electromagnetic interactions. Using c = fλ, E₀/B₀ = c, I_d = ε₀ dΦ_E/dt, and spectrum class

Ref: NCERT > Physics Book > Electromagnetic Waves > Displacement Current and Ampere-Maxwell Law

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