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1. The drawings show three charges that have the same magnitude but may have different signs. In all cases t between the charges is the same. The magnitude of the charges is |q| = 8.6 µC, and the distance between th mm. Determine the magnitude of the net force on charge 2 for each drawing.

1. The drawings show three charges that have the same magnitude but may have different signs. In all cases t between the charges is the same. The magnitude of the charges is |q| = 8.6 µC, and the distance between th mm. Determine the magnitude of the net force on charge 2 for each drawing.

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GENERAL INSTRUCTION. PROVIDE SOLUTION/EXPLANATION FOR EVERY ANSWER. 1. The drawings show three charges that have the same magnitude but may have different signs. In all cases the distance d between the charges is the same. The magnitude of the charges is |g| = 8.6 µC, and the distance between them is d = 3.8 mm. Determine the magnitude of the net force on charge 2 for each drawing. d +q d +q d +q d +q d - -g +q +q b- 1 21 Id 2 1 2 3 1 +q 3 (a) (b) (c) 2. Three point charges (+q, +2q, and -3q) are at the corners of an equilateral triangle. Sketch in six electric field lines between the three charges. 3. An electric field of 260000 N/C points due west at a certain spot. What are the magnitude and direction of the force that acts on a charge of -7.0 µC at this spot? 4. A flat circle of radius 18 cm is placed in a unifom electric field of magnitude 5.8x102 N/C. What is the electric flux through the circle when its face is (A) perpendicular to the field lines, (B) at 45 ° to the field lines, and (C) parallel to the field lines? 5. A dust particle with mass m = 5.0x10-9 kg and charge q = 2.0 nC starts from rest at point a and moves in a straight line to point b (see figure below). What is its speed v at point b? Particle 3.0 nC -3.0 nC a 1.0 1.0 1.0 cm cm cm 6. The radius of the outer sphere of a spherical capacitor is five times the radius of its inner shell. What are the dimensions of this capacitor if its capacitance is 5.00 pF? 7. When a cylindrical capacitor is given a charge of 0.500 nC, a potential difference of 20.0 V is measured between the cylinders. (a) What is the capacitance of this system? (b) If the cylinders are 1.0 m long, what is the ratio of their radii? 8. Calculate the electric potential energy with configuration of charges on the figures at Question #1. (Use the same values for charge and distance in Question #1)
Transcribed Image Text:GENERAL INSTRUCTION. PROVIDE SOLUTION/EXPLANATION FOR EVERY ANSWER. 1. The drawings show three charges that have the same magnitude but may have different signs. In all cases the distance d between the charges is the same. The magnitude of the charges is |g| = 8.6 µC, and the distance between them is d = 3.8 mm. Determine the magnitude of the net force on charge 2 for each drawing. d +q d +q d +q d +q d - -g +q +q b- 1 21 Id 2 1 2 3 1 +q 3 (a) (b) (c) 2. Three point charges (+q, +2q, and -3q) are at the corners of an equilateral triangle. Sketch in six electric field lines between the three charges. 3. An electric field of 260000 N/C points due west at a certain spot. What are the magnitude and direction of the force that acts on a charge of -7.0 µC at this spot? 4. A flat circle of radius 18 cm is placed in a unifom electric field of magnitude 5.8x102 N/C. What is the electric flux through the circle when its face is (A) perpendicular to the field lines, (B) at 45 ° to the field lines, and (C) parallel to the field lines? 5. A dust particle with mass m = 5.0x10-9 kg and charge q = 2.0 nC starts from rest at point a and moves in a straight line to point b (see figure below). What is its speed v at point b? Particle 3.0 nC -3.0 nC a 1.0 1.0 1.0 cm cm cm 6. The radius of the outer sphere of a spherical capacitor is five times the radius of its inner shell. What are the dimensions of this capacitor if its capacitance is 5.00 pF? 7. When a cylindrical capacitor is given a charge of 0.500 nC, a potential difference of 20.0 V is measured between the cylinders. (a) What is the capacitance of this system? (b) If the cylinders are 1.0 m long, what is the ratio of their radii? 8. Calculate the electric potential energy with configuration of charges on the figures at Question #1. (Use the same values for charge and distance in Question #1)
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