A circular loop carries counterclockwise current as viewed by you. Does the magnetic field at the centre point toward you or away from you?

State the magnetic field magnitude at the centre of a single circular loop of radius \(R\) carrying current \(I\).

How does the centre field change if a coil has \(N\) tightly wound identical turns instead of one turn?

A single loop has radius \(0.10\,\mathrm m\) and current \(4.0\,\mathrm A\). Find the magnetic field at its centre.

A coil has \(50\) turns, radius \(0.080\,\mathrm m\), and current \(0.60\,\mathrm A\). Find the field at the centre.

State the magnetic field magnitude on the axis of a circular loop, a distance \(x\) from its centre.

A loop has radius \(R\). Find the ratio of the axial field at \(x=R\) to the centre field.

A \(20\)-turn circular coil has radius \(0.050\,\mathrm m\) and current \(0.30\,\mathrm A\). Find its magnetic dipole moment magnitude.

Show that the axial field formula reduces to the centre-field formula when \(x=0\).

Use the axial loop field to find the far-field dependence when \(x\gg R\), and express the result using \(m=I\pi R^2\).