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Asked by Shobhitha Last Modified
Answer The expression for the magnitude of the magnetic field at the center of a circular loop of radius rr carrying a steady current II can be derived using Ampere's law or Biot-Savart's law. For a circular loop, the magnetic field at its center is given by:
B=μ0I2rB=2rμ0I
Where:
The direction of the magnetic field at the center of the loop is perpendicular to the plane of the loop and is along the axis passing through the center of the loop.
Now, let's draw the magnetic field lines due to the current loop:
____B____
/ \
/ \
/ \
| \ / |
| \ / |
| / \ |
| / \ |
\ /
\ /
\____B______/
In this diagram, the loop is represented by the circle with current flowing clockwise. The magnetic field lines form concentric circles around the loop, with their direction indicated by arrows. At the center of the loop, the magnetic field lines are directed perpendicular to the plane of the loop.
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