By using vec{B} = frac{mu_0 I}{4pi} int frac{vec{ds} imes hat{r}}{r^2} Biot-Savart law, calculate the magnetic field at point O due to the steady current-carrying wire segment as shown in the figure. The wire consists of two very long straight portions and a quarter circular arc with radius R.
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First, we need to find the magnetic field due to the straight wire segments. Since they are very long, we can use the formula for the magnetic field due to an infinite straight wire: $$B_{straight} = \frac{\mu_0 I}{2 \pi R}$$ Show more…
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