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## Biot-Savart Law Study Problem

Consider the following loop of wire carrying a current, I, in the direction shown in the figure below. Use the Biot-Savart Law to determine the magnetic field at point P.

**Diagram Explanation:**

- The diagram depicts a loop of wire where the current, I, flows in a specified direction.
- The wire loop consists of two semicircular arcs of radii \(a\) and \(b\), respectively, with \(a < b\).
- The current direction is indicated by arrowheads along the wires.
- The Cartesian coordinate system is shown with \( \hat{j} \) representing the unit vector in the y-direction and \( \hat{i} \) the unit vector in the x-direction.
- Point P is located at the center of these semicircular arcs.
- The x-axis extends horizontally through Point P, while the y-axis extends vertically upwards from Point P.

### Goal

Use the Biot-Savart Law to determine the magnetic field at point P.

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