This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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Answer
10 cm = 0.1 \text{ m}$.
Step 1: Visualize the arrangement and define parameters. Let the conductor lie along the y-axis (vertical direction), centered at the origin. The current flows in the positive y-direction. The length of the conductor is . The current is . Point P is located away from the conductor in the X-direction. So, the perpendicular distance from the conductor to point P is . We use the permeability of free space, $\mu_0 = 4\pi \times 10^{-7} T\cdot\
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Visualize the arrangement and define parameters. Let the conductor lie along the y-axis (vertical direction), centered at the origin.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.