1) Two parallel plates are held at -6 volts and +6 volts respectively. They are separated by 0.6 meters. Find the Voltage difference between the point A and point B. A is 0.2 meters away from -6V plate and B is 0.2 meters away from +6V plate. They are 0.4 meters away from each other -6V A +6V B 2) Three charges are placed at each corner of an equilateral triangle with side length 3 meters. Q1 = 2 microcoulomb, Q2- -3 microcoulomb Q3 = 6 microcoulomb. What is the potential energy of this configuration. What is the energy required to bring from far away ( infinity) an additional 1 microcoulomb charge on top of Q1 3) Three charges are placed on the x-axis q1 = 2 nanocoulomb is at the origin. q2 = -1 nanocoulomb is placed 1 meter east and q3 = -1 nanocoulomb is placed 1 meters west. Find the Voltage at any point on the y-axis with coordinates (x 0, y). V should be a function of y only. 4) A capacitor with a dielectric inserted inside has capacitance of 7.2 microfarad. What would be the new capacitance if the distance between the parallel plates is tripled. Dielectric coefficient is K. 2.5 Initial final 5) Three capacitors and a 12 V battery are used for constructing a circuit. Find C1 = 6 microfarad C2 - 9 microfarad and C3 =18 microfarad. 3) Find the Ceq and Qeq if C1 and C2 is in series and C3 is parallel with them. Draw the circuit diagram and identify the capacitors with the same charges b) Find the Ceq and Qeq if Ci and C2 is in parallel and C3 is in series with them. Draw the circuit diagram and identify the capacitors with the same voltage 6) Three resistors and a 10V batters are used for constructing a circuit. R1= 5 Ohms R2 =10 Ohms and R3 = 20 Ohms. Find the Req, Voltage and Current at each resistor is a) All of them are in series b) All of them are in parallel. 7) Write the Kirchoff's loop rule and junction rule for the circuit below. Find 11, 12 knowing that the current at R2 is 4 amps. R1 12 ohms R2 = 4 Ohms R3 = 6 ohms. Calculate the emf E for the second battery. 10.0 V8) +2 nc charges at the origin (x=0, y=0) -1nc is two meters to the right (x=2) and - 1nc is 3 meters up (y=3). Show the electric field vectors (field lines) and equipotential lines. Find the Voltage at x=5 y=3. 9) +2 nc charges at the origin (x=0, y=0) -1nc is two nanometers to the right (x=2mm )and -inc is 3 nanometers up (y=3mm). Find Energ of he configuration. 10) V=(5xy)/(x*2+y*2). Find the electric field vector 3b)Ex= (5xy)/(x^2+y*2). Find deltaV fom (x=2 y=4) to (x=4 y=4) 11) +2 nc charges at the origin (x=0, y=0) -1nc is two nanometers to the right (x=2mm )and -1nc is 3 nanometers up (y=3mm). Find the force on +2nC charge (chalange round find F on the charge at y=3mm)