Question

Two wires AO and OC carry equal currents i as shown in Fig. One end of both the wires extends to infinity. Angle AOC is α. The magnitude of magnetic field is point P on the bisector of these two wires at a distance r from point O is

• A. $\frac{μ_0}{2πr}\frac{i}{r}cot\frac{α}{2}$
• B. $\frac{μ_0}{4πr}\frac{i}{r}cot\frac{α}{2}$
• C. $\frac{μ_0}{2π}\frac{i}{r}\frac{1+cos(\frac{α}{2})}{sin\frac{α}{2}}$
• D. $\frac{μ_0}{4πr}\frac{i}{r}\frac{α}{2}$

Answer 1

Answer: (C)

$\frac{μ_0}{2π}\frac{i}{r}\frac{1+cos(\frac{α}{2})}{sin\frac{α}{2}}$

Answer 2

The correct answer is option C) $\frac{μ_0}{2π}\frac{i}{r}\frac{1+cos(\frac{α}{2})}{sin\frac{α}{2}}$