Calculation of a Vector | Santa Fe College - Edubirdie

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

2024
Views:

432

Pages:

5
Author:

Jabin F.

Equation: A⃗ = (μ₀ / 4π) * ∫(I dl / r) Note: This formula can be applied only to finite currents. For finite length wire: A⃗ = (μ₀ / 4π) * (I/r) * ∫dl = (μ₀ / 4π) * (I/r) * l For finite surface or volume current: A⃗ = (μ₀ / 4π) * ∫(J dτ / r) Direction of A⃗: The direction of A⃗ is the same as the direction of the current (î in the figure). Equations: Force per unit length (f): f = (μ₀ * I₁ * I₂) / (2π * r) For I₁ and I₂: f₁₂ = (μ₀ * I₁ * I₂) / (2πd) For I₂ and I₃: f₂₃ = (μ₀ * I₂ * I₃) / (2πa) For I₁ and I₃: f₁₃ = (μ₀ * I₁ * I₃) / (2π(d + a)) Net force on I₃: f_net = f₁₃ - f₂₃ = (μ₀ * I₁ * I₃) / (2π) * (1/(d + a) - 1/a)

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