An infinitely large positively charged nonconducting sheet 1 has uniform surface charge density \(\sigma_{1}=\) \(+130.0 \mathrm{nC} / \mathrm{m}^{2}\) and is located in the \(x z\) plane of a Cartesian coordinate system. An infinitely large positively charged nonconducting sheet 2 has uniform surface charge density \(\sigma_{2}=+90.0 \mathrm{nC} / \mathrm{m}^{2}\) and intersects the \(x z\) plane at the \(z\) axis, making an angle of \(30^{\circ}\) with sheet 1 .

(a) Draw a diagram showing the end view of the sheets in the \(x y\) plane.

(b) Determine the expression for the electric field in the region between the sheets for positive values of \(x\) and \(y\). Calculate the value of the electric field at (3 \(\mathrm{m}, 1 \mathrm{~m}, 0\) ).