Question

magnetic field at the point O due to given structure is

Answer 1

Hii ...

➡️ Answer is in attachment .

so correct answer is option A

hope this helps :)

Answer 2

Answer: (3).The magnetic field at the point O is $B = \dfrac{\mu_{0}I}{2\pi R}[\pi +1]$

Explanation:

According to figure,

The magnetic field for straight wire

$B_{1} = \dfrac{\mu_{0}I}{2\pi R}$

The magnetic field for arc

$B_{2} = \dfrac{\mu_{0}I}{2R}$

Now, the magnetic field at the point O

$B= B_{1} +B_{2}$

$B = \dfrac{\mu_{0}I}{2\pi R} + \dfrac{\mu_{0}I}{2R}$

$B = \dfrac{\mu_{0}I}{2\pi R}[\pi +1]$

Now, the direction of the magnetic field

Using Fleming'f left hand rule

The direction of magnetic field is inside.

So, the magnetic field at the point O is $B = \dfrac{\mu_{0}I}{2\pi R}[\pi +1]$

Hence, the correct option is 3.