Average Power Radiated By The Dipole - Edubirdie

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

2024
Views:

202

Pages:

5
Author:

Jabin F.

Section 1: Average Power Radiated by the Dipole Mathematical equations involving integrals, trigonometric functions, and constants. Final result:

= μ₀p₀²ω⁴ / 12πc Section 2: Uniform Magnetic Field and Moving Sphere Text describing a uniform magnetic field and a moving conducting sphere. Inertial frames K and K'. Equations relating electric and magnetic fields in the two frames. The induced surface charge density on the sphere in frame K'. Section 1: (a) maximum along z' (b) maximum along y (c) maximum along x' (d) Uniform over the sphere Section 2: In electrostatic: E = E₀z σ = 3ε₀E₀cosθ Here: Bx = 0, By = B₀, Bz = 0 Rest frame: Ex = 0, Ey = 0, Ez = 0 In moving frame: Ex' = 0, Bx' = 0 Ey' = γ(Ey - VxBz) = 0 Bz' = γ(Bz - VxEy/c²) = 0 Ez' = γ(Ez + VxB₀) = γVB₀ Equations: E' = γVB₀ẑ B' = γVB₀ŷ Text: So Induced charge density in moving frame (K') is- σ' = 3ε₀(γVB₀)cosθẑ σ' = max. if θ = 0 along ẑ (option-a)

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