# Solved Problems-7

Problems-7

Prove that the magnetic scalar potential at (0, 0,

*z*) due to a circular loop of radius â€˜*a*â€™ is, .**Circular current-carrying loop**

Solution

We have the magnetic field at (0, 0,
Comparing both sides,
Integrating,
Let,

Here,

Putting the value we get,

âˆ´

*z*) due to the circular loop of radius a is given as,z |
âˆž | z |

Î¸ |
A |

âˆ´