A thin ring of \(10~\text{cm}\) radius carries a uniformly distributed charge. The ring rotates at a constant angular speed of \(40\pi ~\text{rad}~\text{s}^{-1}\) about its axis, perpendicular to its plane. If the magnetic field at its centre is \(3.8\times 10^{-9}~\text{T},\) then the charge carried by the ring is close to:
(\(\mu_0=4\pi\times 10^{-7}~\text{N/A}^2\))
1. \(7\times 10^{-6}~\text{C}\)
2. \(4\times 10^{-5}~\text{C}\)
3. \(2\times 10^{-6}~\text{C}\)
4. \(3\times 10^{-5}~\text{C}\)