Question 13

Find the magnetic field at point P as shown in the figure. The curved portion is a semicircle connected to two long straight wires.

$$B_{\text{straight 1}} = \frac{\mu_0 i}{4\pi r} \otimes$$

$$B_{\text{semicircle}} = \frac{\mu_0 i}{4r} \otimes$$

$$B_{\text{straight 2}} = 0$$

$$B_{net} = B_{\text{straight 1}} + B_{\text{semicircle}} + B_{\text{straight 2}}$$

$$B_{net} = \frac{\mu_0 i}{4\pi r} + \frac{\mu_0 i}{4r} + 0$$

$$B_{net} = \frac{\mu_0 i}{2r} \left( \frac{1}{2} + \frac{1}{2\pi} \right)$$

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