explain with the help of Right Hand Thumb Rule the pattern of magnetic field lines the distribution of magnetic field due to a current through a circular loop​

Sure, here is a step-by-step explanation of the pattern of magnetic field lines and the distribution of magnetic field due to a current through a circular loop using the Right Hand Thumb Rule:

1. The Right Hand Thumb Rule states that if you hold a current-carrying conductor in your right hand such that the thumb points towards the direction of the current, then the curl of the fingers will give the direction of the magnetic field lines.

2. Now, consider a circular loop carrying current. Hold the loop with your right hand in such a way that your fingers curl in the direction of the current.

3. Your thumb will point towards the center of the loop. This is the direction of the magnetic field inside the loop.

4. The magnetic field lines form concentric circles around the wire. These circles are in the plane perpendicular to the wire.

5. The magnetic field lines are closer near the wire, indicating a stronger magnetic field. As we move away from the wire, the field lines get farther apart, indicating a weaker magnetic field.

6. The pattern of the magnetic field lines is such that they emerge from the north pole and merge at the south pole.

7. The magnetic field is the strongest at the center of the loop and weakens as we move towards the edge of the loop.

8. If there are multiple turns in the loop, the magnetic field lines inside the loop become almost straight, indicating a uniform magnetic field.

9. The distribution of the magnetic field due to a current through a circular loop is symmetrical along the axis of the loop.

This is how the Right Hand Thumb Rule helps in determining the pattern and distribution of the magnetic field due to a current through a circular loop.