Question

A currrent of 30 amp is flowing in a conductor as shown in the figure. The magnetic induction at point O will be:

• A. $1.5Tesla$
• B. $1.5\pi \times {10}^{-4}$ Tesla
• C. $Zero$
• D. $0.15Tesla$

Answer 1

The correct option is B $1.5\pi \times {10}^{-4}$ Tesla

Given,

$I=30A$

$r=3cm=3\times {10}^{-2}m$

$2\pi =\alpha +\frac{\pi }{2}$

$\alpha =2\pi -\frac{\pi }{2}=\frac{3\pi }{2}$

The magnetic induction at the point O,

$B=\frac{{\mu }_{0}I}{4\pi r}.\alpha$

$B=\frac{4\pi \times {10}^{-7}\times 30}{4\pi \times 3\times {10}^{-2}}\times \frac{3\pi }{2}$

$B=1.5\pi \times {10}^{-4}T$

The correct option is B.