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Force between parallel wires
F/L = μ₀I₁I₂/(2πd)
Where: F = force (N), I₁ = I₁, I₂ = I₂, L = length (m) / angular momentum / inductance, d = distance / slit separation (m), μ₀ = permeability of free space (T·m/A)
Solved example
Given: I_1 = 7, I_2 = 5, L = 10, d = 4, mu_0 = 3
Find: F (force (N))
- Formula: F/L = I₁·I₂·μ₀/(2·π·d)
- Rearranged for F: F = I₁·I₂·L·μ₀/(2·π·d)
- Substitute the values: F = 10·3·5·7/(2·π·4)
- Result: F = 41.778173
Answer: F = 41.778173 N/m
Calculator
How to calculate Force between parallel wires
- Write down the formula: F/L = μ₀I₁I₂/(2πd).
- Note the known values (I₁, I₂, L, d, μ₀).
- Substitute them and simplify to find F.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Force between parallel wires?
The formula is F/L = μ₀I₁I₂/(2πd), where F = force (N), I₁ = I₁, I₂ = I₂, L = length (m) / angular momentum / inductance, d = distance / slit separation (m), μ₀ = permeability of free space (T·m/A).
What is Force between parallel wires when I_1 = 7, I_2 = 5, L = 10, d = 4, mu_0 = 3?
F = 41.778173 N/m. Substitute the values into F/L = μ₀I₁I₂/(2πd) and simplify.
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