You place \(2.2 \mu \mathrm{C}\) of charge along a long nonconducting rod. The rod extends from \(x=0\) farther than you can see along the positive \(x\) axis. The charge distribution has the form of a decreasing exponential: \(q(x)=q_{0} e^{-x / \ell}\), where \(\ell=28.6 \mathrm{~mm}\). Calculate the electric field magnitude \(20 \mathrm{~mm}\) from the near end of the rod, along its long axis.