Magnetic Field Lecture Note - Edubirdie

University:
Santa Fe College
Course:
ETS 2527C | Electromechanical Components and Mechanisms
Academic year:

2024
Views:

97

Pages:

5
Author:

Jabin F.

Magnetic Field: B(r,t) = -μ₀ * (p × r) / (4πc * r³) p(t) = -p₀ * ω² * cos(ωt - kz) * ẑ p̂(t) = -ẑ * sin(φ) B(r,t) = (μ₀ * p₀ * ω² * sin(φ) * cos(ωt - kz)) / (4πc * r³) * (-ẑ) ⇒ |E| = c|B| E(θ) = B(θ) Ques: Calculate the average power radiated by a circular loop of radius 'a' that carries an AC current of amplitude I₀ and frequency ω. Sol: M(t) = I₀πa²sinωt m(t) = -I₀πa²ωcosωt ⟨m²⟩ = (I₀²π²a⁴ω²) / 2 ⇒ ⟨P⟩ = (μ₀ * I₀² * π² * a⁴ * ω⁴) / (12πc³) ⟨P⟩ = (μ₀ * I₀² * a⁴ * ω⁴) / (12c³) (M.K.S unit) ∵ μ₀ε₀ = 1/c² ∴ μ₀ = ε₀c² ⇒ ⟨P⟩ = (I₀² * a⁴ * ω⁴) / (12cε₀) (M.K.S unit) Ques. 26: I(t) = I₀cos(ωt) Radiation zone r >> λ >> c/ω >> R Option-a: Eα (1/r) * (X) Option-b: Eα ω² * (v) Option-c: θ = π/2 (minimum) Eα sinθ Option-d: Bα φ(X) Ba(θ) (polar angle)

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