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Problem: Sources of magnetism and magnetic forceForce between two infinite, parallel wiresYou are given two infinite, parallel wires each carrying current I. The wires are separated by a distance d, and the current in the two wires is flowing in the same direction. This problem concerns the force per unit length between the wires.A) Is the force between the wires attractive or repulsive?i) attractiveii) repulsiveB) What is the force per unit length F/L between the two wires?Express your answer in terms of I, d, and constants such as µ0 and πC) In the SI system, the unit of current, the ampere, is defined by this relationship using an apparatus called an Ampere 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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Let's consider the two parallel wires to carry currents, i1 and i2, and to be separated by a distance d. 

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Sources of magnetism and magnetic force

Force between two infinite, parallel wires

You are given two infinite, parallel wires each carrying current I. The wires are separated by a distance d, and the current in the two wires is flowing in the same direction. This problem concerns the force per unit length between the wires.

A) Is the force between the wires attractive or repulsive?

i) attractive

ii) repulsive
B) What is the force per unit length F/L between the two wires?

Express your answer in terms of I, d, and constants such as µ0 and π

C) In the SI system, the unit of current, the ampere, is defined by this relationship using an apparatus called an Ampere 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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