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 1 m, if 1 A of current were flowing through each of them? Express your answer numerically in newtons per meter. ? N

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**Educational Content: Force Between Parallel Wires**

**Problem Description:**

You are given two infinite, parallel wires, each carrying a 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.

**Part C**

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 of 1 m, if 1 A of current were flowing through each of them?

**Express your answer numerically in newtons per meter.**

\[ \frac{F}{L} = \]

**(Input box for answer) \(\boxed{\dfrac{N}{m}}\)**

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This exercise involves understanding the magnetic force between two parallel conductors. The force is dependent on the currents in the wires and their separation. Solving for the force per unit length helps illustrate the practical application of electromagnetic theory.
Transcribed Image Text:**Educational Content: Force Between Parallel Wires** **Problem Description:** You are given two infinite, parallel wires, each carrying a 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. **Part C** 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 of 1 m, if 1 A of current were flowing through each of them? **Express your answer numerically in newtons per meter.** \[ \frac{F}{L} = \] **(Input box for answer) \(\boxed{\dfrac{N}{m}}\)** --- This exercise involves understanding the magnetic force between two parallel conductors. The force is dependent on the currents in the wires and their separation. Solving for the force per unit length helps illustrate the practical application of electromagnetic theory.
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