A butterfly net hangs from a circular loop of diameter \(400 \mathrm{~mm}\). You hold the loop horizontally in a region where the electric field is \(150 \mathrm{~N} / \mathrm{C}\) downward, as shown in Figure P24.58.

(a) What is the electric flux through the net?

(b) Does the flux through the net increase or decrease if you rotate the loop so that it lies in a vertical plane?

Data from Figure P24.58