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use UNITS for all final answers no collaboration, no talking to each other is allowed you can use your book and your calculator, but nothing else! (1) 10 points Three identical charges (q- -4.8 pC) lie along a circle of radius 2.0 m at angles of 30°, 150°, and 270°, as shown in the figure. (a) What is the resultant electric field at the center of the circle (magnitude and orientation)? (b) What is the electric potential at the center of the circle? (c) What is the force acting on a test charge of +1.0 pC placed at the center of the circle?
Final Examination Thursday, January 24, 2019 (2) 10 points A 1 megabit computer memory chip contains many 6.0 x 10-14 F capacitors. Each capacitor has a plate area of 2.2 x 10-11 m2 (a) Determine the plate separation of such a capacitor. (Assume a parallel-plate configuration). The diameter of an atom is on the order of 10-10 m 1 A. Express the plate separation in angstroms A. (b) How many electrons contribute to the charge accumulated in such a capacitor if the voltage difference on its terminals is 1.5 V. (3)-10 points A dead battery is charged by connecting it to the live battery of another car with jumper cables. Assume that V-7 V and R 0.80 Ω. (a) Determine the current in the starter. 0.01 92 0,06 Ω Starter Live battery Dead battery (b) Determine the current in the dead battery
Finel Examination Thursday, January 24, 2019 4) 10 pointe Two long, parallel wires, each with mass per unit length of 44 g/m, are supported in a horizontal plane by 6.0 om long strings, as shown in the figure below. Each wire carries the same current I, causing the wires to repel each other so that the angle 9 between the supporting strings is 10 (a) Are the currents in the same or opposite directions? Explain why (b) Draw a free body diagram and show magnetic forces, gravity forces and tension in strings. Write an equation showing the balance of forces. From this equation current in each wire. calculate the (5) 10 points A resonant circuit in a radio receiver is tuned to a certain station when the inductor has a value of 1.50 μΗ and the capacitor has a value of 2.10 pF. The resistance of the circuit is 10.00 Ω. Find the frequency of the radio station.
Thursday, January 24, 2019 PHYS 238 (6) - 10 points A 0.38-kg object connected to a light spring with a force constant of 22.0 N/m oscillates on a frictionless horizontal surface. The spring is the following (a) the period of oscillation compressed 4.0 cm and released from rest. Find (22 oNl m4.0 em) xi ー-88 / inc. (a) maximum speed of the object. mls 2 0138 k (b) speed of the object when the spring is compressed 1.5 cm .Scm : 33 (c) speed of the object when the spring is stretched 1.5 cm. (d) write an expression that shows position of the object in meters as a function of time i seconds. (e) calculate the energy of the object.
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