Exam 3: Electric Potential

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Use the following figure to answer the next four problems: Use the following figure to answer the next four problems:   -A disk of radius 10 cm has a uniform charge density of 20 nC/cm<sup>2</sup>. A small particle of mass m = 10 mg and charge q<sub>0</sub> = 5 nC is placed at x = 20 cm and released. The speed of the particle when it is a great distance from the disk is -A disk of radius 10 cm has a uniform charge density of 20 nC/cm2. A small particle of mass m = 10 mg and charge q0 = 5 nC is placed at x = 20 cm and released. The speed of the particle when it is a great distance from the disk is

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The electrical potential 2.5 cm from a point charge of Q1 = +4.5 * 10-9 C and 2.0 cm from a second charge Q2 is 3.2 kV. Find Q2.

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The metal sphere at the top of a small Van de Graaf generator has a radius of 8.0 cm. How much charge can be accumulated on this sphere before dielectric breakdown of the air around it occurs? (The dielectric strength of air is 3.0 MV/m.)

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Dielectric breakdown occurs in the air at an electric field strength of Emax = 3.0*106 V/m. If the maximum charge that can be placed on a spherical conductor is 2.0 *10-3 C before breakdown, calculate the diameter of the sphere.

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The electric potential in a region of space is given by V(x, y, z) = 50 V The electric field in this region is

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Use the following figure to answer the next four problems: Use the following figure to answer the next four problems:   -ABC is a straight line with AB = BC = 0.60 nm. BP is perpendicular to ABC and BP = 0.80 nm. Charges of +3.2 × 10<sup>-</sup><sup>19</sup> C are placed at A and C, and a charge of -3.2 × 10<sup>-</sup><sup>19</sup> C is placed at B. The electric potential at P is -ABC is a straight line with AB = BC = 0.60 nm. BP is perpendicular to ABC and BP = 0.80 nm. Charges of +3.2 × 10-19 C are placed at A and C, and a charge of -3.2 × 10-19 C is placed at B. The electric potential at P is

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A solid spherical conductor of radius 20 cm has a charge Q = 25 nC on it. A second, initially uncharged, spherical conductor of radius 12 cm is moved toward the first until they touch and is then moved far away from it. How much charge is there on the second sphere after the two spheres have been separated?

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Use the following figure to answer the next problem. Use the following figure to answer the next problem.   -The electrostatic potential energy of the system of point charges q<sub>1</sub> = -1 µC, q<sub>2</sub> = 2 µC, and q<sub>3</sub> = 3 µC at the corners of the equilateral triangle whose side s = 50 cm is -The electrostatic potential energy of the system of point charges q1 = -1 µC, q2 = 2 µC, and q3 = 3 µC at the corners of the equilateral triangle whose side s = 50 cm is

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