Moving Charges and Magnetism Problems - Numerical 01

A straight wire carrying a current of 12 A is bent into a semi-circular arc of radius 2.0 cm as shown in the figure. What is the direction and magnitude of at the centre of the arc? What would your answer change if the wire were bent into a semi-circular arc of the same radius but in the opposite way as shown in the figure below.

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Suggested solution:

Suggested solution:

The magnetic field at the centre of a circular current carrying coil is given by

The direction of this magnetic field will be normal to the plane of paper and directed upward. Here, it is assumed that the wire is in the plane of the paper.

For example, the magnitude of the magnetic field is 1.9x10^-⁴T. The direction is normal to the plane of the paper and directed inwards.