In the SI system, the unit of current, the ampere, is defined by this relationship using an apparatus called an Ampère balance. What would be the force per unit length of two infinitely long wires, separated by a distance 1m, if 1A of current were flowing through each of them?

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Here is the answer for the question - In the SI system, the unit of current, the ampere, is defined by this relationship using an apparatus called an Ampère balance. What would be the force per unit length of two infinitely long wires, separated by a distance 1m, if 1A of current were flowing through each of them?. You'll find the correct answer below

In the SI system, the unit of current, the ampere, is defined by this relationship using an apparatus called an Ampère balance. What would be the force per unit length of two infinitely long wires, separated by a distance 1m, if 1A of current were flowing through each of them?

The Correct Answer is

If I = 1 A, & d = 1 m, plugging these values into the formula from the previous section,F/L = μ0(1 A)2 / [2π(1m)]= μ0/ [2π] ⋅ A2/mμ0 = 4π×10-7 ⋅ T⋅m/A→ 4π×10-7 / [2π] ⋅A2/m ⋅T⋅m/A → 2×10-7 ⋅ T⋅A1 T = 1 N / [A⋅m] →2×10e-7 ⋅ N/m

Reason Explained

If I = 1 A, & d = 1 m, plugging these values into the formula from the previous section,F/L = μ0(1 A)2 / [2π(1m)]= μ0/ [2π] ⋅ A2/mμ0 = 4π×10-7 ⋅ T⋅m/A→ 4π×10-7 / [2π] ⋅A2/m ⋅T⋅m/A → 2×10-7 ⋅ T⋅A1 T = 1 N / [A⋅m] →2×10e-7 ⋅ N/m is correct for In the SI system, the unit of current, the ampere, is defined by this relationship using an apparatus called an Ampère balance. What would be the force per unit length of two infinitely long wires, separated by a distance 1m, if 1A of current were flowing through each of them?

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