Answer the following problems.

1. A 3.0 JC charge is located 1.5 x 10-5 m from a -6.OuC charge, what is the force between the charges? Is the force attractive or repulsive? Why?2. Elizabeth uses hairspray on her hair to tame her unruly curls. However, the spray spreads out before reaching her hair partly because of the electrostatic charge on the hairspray droplets. If two drops of hairspray repel each other with a force of 9.0 x 10-9 N at 0.070 cm, what is the charge on each of the equally charged drops of hairspray?3. A 2.0 x 10 -6 C charge is located halfway between an 8.0 x 10-6 C charge and a -5.0 x 10-6 C charge as shown in the figure. Find the net force on the 2.0 x 10-6 C charge. 80 x10 C 2.0x 10 C -5.0 x10* C O 2.0 m 2.0 m9-10. Determine the equivalent capacitance between A and B for the group of capacitors in the figure: 5.0 UF 24 uF 4.0 HF 12 u F B 6.0 uF 8.0 uF5. A thundercloud produces a vertical electric field of magnitude 28.0 kN/C at ground level. You hold a 22.0 cm x 28.0 cm sheet of paper horizontally below the cloud. a) What is the electric flux through the sheet? b)What would the flux be if you tilt the sheet of paper by 30? c) What would the flux be if you hold the sheet of paper vertically?8. A parallel-plate capacitor, filled with Plexiglass dielectric with k = 3.4, is connected to a 100 V battery. After the capacitor is fully filled, the battery is disconnected. If the area of each plate is 4.0 m2 and a separation distance of 4.0 mm: (a) Determine the capacitance (b) Determine the charge (c) Determine the energy stored in the capacitor [use W=1/2CV^2]4. At a certain point, the electric field is 5 N/C and a specific charge experiences a force of 5 X 10-2 N. What is the value of the charge?6. A copper wire that has a radius of 3 cm has a uniform charge density of 12 UC/m2. Determine the total charge present in a 1.0-m long section of the copper wire. Clue: Q (total charge) = GA E = 1 1 2TEO I A = 2TrL3'. Find the equivalent eapaeitanee of capacitors C1: 12 pF. CE: 5.3 pF. and C3: 4.5 pF if they are arranged in a] parallel and a} series