Question

A current of 1A is flowing through a straight conductor of length 16cm. The magnetic induction (in tesla) at a point 10 cm from the either end of the wire is :

• A. $\frac{8}{3}\times {10}^{-6}$
• B. $\frac{1}{6\sqrt{2}}\times {10}^{-5}$
• C. $\frac{1}{6\sqrt{3}}\times {10}^{-6}$
• D. $\frac{\sqrt{3}}{6}\times {10}^{-6}$

Answer 1

The correct option is A $\frac{8}{3}\times {10}^{-6}$

Magnetic field due to straight conductor is,
$B=\frac{{\mu }_{0}i}{4\pi r}(Cos{\theta }_1+Cos{\theta }_2)$
$B=\frac{{10}^{-7}\times \left(1\right)}{6\times {10}^{-2}}(\frac{4}{5}+\frac{4}{5})$
$=\frac{8}{3}\times {10}^{-7}T$