The radius of a coil of wire with \(N\) turns is \(0.1\,\text{m}\) and a current of \(2\,\text{A}\) flows in the coil as shown. A long straight wire carrying a current of \(20\pi\,\text{A}\) is located \(0.5\,\text{m}\) from the centre of the coil. The number of turns in the coil if the resultant magnetic field at the centre of the coil is zero is