Q71 / 91 · KVPY 2018 (SB/SX) · Physics
The current in flowing along the path of a cube (shown in the left figure) produces a magnetic field at the centre of cube of magnitude . Dashed line depicts the non-conducting part of the cube.

Consider a cubical shape shown to the right which is identical in size and shape to the left. If the same current now flows in along the path , then the magnitude of magnetic field at the centre will be
The current in flowing along the path of a cube (shown in the left figure) produces a magnetic field at the centre of cube of magnitude . Dashed line depicts the non-conducting part of the cube.

Consider a cubical shape shown to the right which is identical in size and shape to the left. If the same current now flows in along the path , then the magnitude of magnetic field at the centre will be
- Azero
- B
- Correct answerC
- D
Solution
Given magnetic field due to a square loop at centre of cube is .

Now, loop can be viewed as super position of three square loops as shown below.

So, net field at centre resultant of fields of these three loop

Magnitude of resultant field is
Hence, the correct answer is option: 'C'.