Due a week later 1. Analyze the figure below. (a) Find the equivalent capacitance between points a and b. (b) Calculate the charge on each capacitor if AVw=18.0 V. 15.0 gl 3.00 uF 20.0 uF e a b 6.00 ulF 2.Ci=3C, C2=C, and C:=9C. (a) What is the equivalent capacitance of this set of capacitors? (b) Rank the capacitors according to the charge they store, from largest to smallest. (c) Rank the capacitors according to the potential differences across them, from largest to smallest. (d) What If? If Csis increased, what happens to the charge stored by each of the capacitors? Figure 3 Figure 2 3. In Figure 3, C1=your [BirthMonth] pF, C2=3.00 yF, and AV = your [BirthDay] V. Capacitor Ci is first charged by the closing of switch Si. Switch S1 is then opened, and the charged capacitor is connected to the uncharged capacitor by the closing of S.. Calculate the initial charge acquired by Ci and the final charge on each capacitor. 4. Four 5 uC point charges are at the corners of a square of side 2 m. Find the electric potential at the center of the square (relative to zero potential at infinity) for each of the following conditions: a) All of the charges are positive. b) Three of the charges are positive and one is negative c) Charges on opposite corners (through the diagonal) have opposite charge 5. Three Point charges are arranged as shown in the figure. How much work was required to move the middle charge in from infinitely far away with the other two charges already fixed in place? +10 nC +15 nC 20nC 5cm 10 cm 6. Point charges g1, g2, and gs are fixed at the vertices of an equilateral triangle whose sides are L long. a) Find an expression for the electrostatic potential energy of this system of charges. b) Find the value of the electrostatic potential energy of this system of charges for q; = 15uC, g2 = =30 uC, q3 = +60 uC, and L = 2.25 cm 7. The electric potential in a region of space is given by the expression V = 3x%y3 6xz2 + 10y2z*. a) Find the electric field in this region of space. b) Evaluate the magnitude of the field at the position = 71 4] + 10k