ACTIVITY 2: CHALLENGE PROBLEMS Directions: Solve the following problems. Show your complete solutions. Express your nal answers in two decimal places. 1. When a piece of paper is held with one face perpendicular to a uniform electric eld, the flux through it is 30 N-mle. Determine the ux through it when the paper is turned 30 with respect to the eld. 2. A solid sphere of radius 6 cm having a net charge +9 pC is inside a hollow shell (R = 8 cm) having a net charge of 6 HO. Calculate the electric eld at a distance of 12 cm from the center of the solid sphere. 3. There are three small spheres carrying charges q1 = -5 n0. q2 = 10 n0, and q3 = 6 n0. Find the net electric ux if q1 and (12 are enclosed in a surface. 4. A 7.0-nC point charge is located at the center of a cube of side length 2.0 m. What is the electric ux through each of the faces of the cube? 5. Charge is placed on a metallic sphere which is surrounded by air. If the radius of the sphere is 15.0 cm, how much charge can be placed on the sphere before the air near the sphere suffers electric breakdown? The critical electric eld strength that leads to breakdown in air is 3.0 x 106 MC