F=(Uo I1 I2)/2a show that the equation is homogeneous where F=Force, Uo= permeability of a vacuum, I1 and…

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F=(Uo I1 I2)/2a show that the equation is homogeneous where F=Force, Uo= permeability of a vacuum, I1 and I2=current respectively, a= distance, 2= a dimensionless constant. Using base units of the physical quantities

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To prove that the equation F = (μ₀ I₁ I₂)/(2a) is homogeneous using base SI units, we must show that the dimensions of the Left Hand Side (LHS) are equal to the dimensions of the Right Hand Side (RHS). Given definitions: F: Force μ₀: Permeability of a vacuum I₁, I₂: Electric current a: Distance 2: A dimensionless constant Note: The standard formula for the force per unit length between two parallel current-carrying wires is F/L = (μ₀ I₁ I₂)/(2π a).

F=(Uo I1 I2)/2a show that the equation is homogeneous where F=Force, Uo= permeability of a vacuum, I1 and I2=current respectively, a= distance, 2= a dimensionless constant. Using base units of the physical quantities

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