Rankers Physics

Magnetic Field Due to Straight Current Carrying Wire: Practice Problem & Solution

Two wires AO and OC carry equal currents i as shown in figure. One end of both the wire extends to infinity. Angle AOC is α. The magnitude of magnetic field at a point P on the bisector of these two wires at a distance r from point O is : Magnetic Field Due to Straight Current Carrying Wire diagram: Two wires AO and OC carry equal currents
\[\frac{\mu_{0}i}{2\pi r}cot\left( \frac{\alpha}{4} \right)\]
\[\frac{\mu_{0}}{4\pi }\frac{i}{r}cot\left( \frac{\alpha}{2} \right)\]
\[\frac{\mu_{0}}{4\pi }\frac{i}{r}\frac{\left(1-cos \frac{\alpha}{2} \right)}{sin\left( \frac{\alpha}{2} \right)}\]
\[\frac{\mu_{0}}{4\pi }\frac{i}{r}\left( \frac{\alpha}{2} \right)\]

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