Problem 3.270

A small current-carrying coil having a magnetic moment \(\mathbf{p}_ {m}\) is located at the axis of a round loop of radius \(R\) with current \(\boldsymbol{I}\) flowing through it. Find the magnitude of the vector force applied to the coil if its distance from the centre of the loop is equal to \(x\) and the vector \(\mathbf{p}_ {m}\) coincides in direction with the axis of the loop.