Question

A current of i ampere is flowing through each ofthe bent wires as shown the magnitude and direction of magnetic field at O is

• A. $\frac{{\mu }_{0}i}{4}(\frac{1}{R}+\frac{2}{R^{\prime }})$
• B. $\frac{{\mu }_{0}i}{4}(\frac{1}{R}+\frac{3}{R^{\prime }})$
• C. $\frac{{\mu }_{0}i}{8}(\frac{1}{R}+\frac{3}{2R}\prime )$
• D. $\frac{{\mu }_{0}i}{8}(\frac{1}{R}+\frac{3}{R^{\prime }})$

Answer 1

Answer: (D)

The correct option is D $\frac{{\mu }_{0}i}{8}(\frac{1}{R}+\frac{3}{R^{\prime }})$
$B=\frac{{\mu }_{0}I}{2R}\frac{3}{4}+\frac{{\mu }_{0}I}{2R}\frac{1}{4}$

$B=\frac{{\mu }_{0}I}{8}[\frac{3}{R^{\prime }}+\frac{1}{R}]$