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SI PHYS 222 Practice Exam ElectroStatics and Circuits 2-15-09 #1.) Which of the following statements are true? i. Electric field lines are always perpendicular to potential field equipotential lines. ii. The more closely spaced the equipotential lines are, the greater the potential. iii. The more closely spaced the electric field lines are, the stronger the electric field. iv. The electric field lines map out the path a charged particle will take when placed in the field. v. Electric field lines may not cross each other, but equipotential lines can. a) i, ii and iii b) ii, iii, iv, and v c) i, iii, and v d) i and iii e) iii, iv, and v #2.) The electric field in a cubic region of space defined by –a<x<a, -a<y<a, -a<z<a is ^ ^ ^ given to be: E 4 x 2 y i 8 xz j 2 z k . What is the net flux through the cube of side length 2a through the faces in the XY-plane (the sum of the flux through the faces perpendicular to the z-axis)? a) Zero b) 8a3 N/C-m2 c) 4a3 N/C-m2 d) 16a3 N/C-m2 e) 32a3 N/C-m2 #3.) Continued from question #2. What is the total flux through the cube of side length 2a through the sides in the YZ plane (the faces perpendicular to the x-axis)? a) Zero b) 8a3 N/C-m2 c) 4a3 N/C-m2 d) 16a3 N/C-m2 e) 323 N/C-m2 #4.) Continued from question #2 and #3. What is the total charge enclosed by the cube of ^ ^ ^ side length 2a in which the electric field is defined by: E 4 x 2 y i 8 xz j 2 z k ? a) Zero b) -8a3/ε0 c) -16a3/ε0 d) 8a3/ε0 e) 16a3/ε0 #5.) What is the equivalent resistance of the resistor diagram shown? (All resistors in the diagram have resistance R. a) 41/15 R b) 8/3 R c) 17/5 R d) 31/11 R e) 56/15 R #6.) Which of the following equations represent a correct use of Kirchoff’s law in the below diagram: a) I a R I c R 10 I b R =0 b) 10 I d R I e R 0 c) I c R 5 I b R 10 0 d) 5 I a R 0 e) I c I d I e #7.)What is the total capacitance of a system of two indentical parallel plate capacitors in series with plate separation .05m and plate area .1m. a) ε0 b) 0.5 ε0 c) 2 ε0 d) 4 ε0 e) 0.25 ε0