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Homework Set 01 23- 7. Review. A molecule of DNA (deoxyribonucleic acid) is 2.17 m long. The ends of the molecule become singly ionized: negative on...

Two equally positively charged particles are at opposite corners of a trapezoid . find the symbolic expressions for the total nelectric field at the point P and the point P'

Homework Set 01 23- 7. Review. A molecule of DNA (deoxyribonucleic acid) is 2.17 µm long. The ends of the molecule become singly ionized: negative on one end, positive on the other. The helical molecule acts like a spring and compresses 1.00% upon becoming charged. Determine the effective spring constant of the molecule. 23- 17. Review. In the Bohr theory of the hydrogen atom, an electron moves in a circular orbit about a proton, where the radius of the orbit is 5.29 x 10 11 m. (a) Find the magnitude of the electric force exerted on each particle. (b) If this force causes the centripetal acceleration of the electron, what is the speed of the electron? 23- 27. Two equal positively charged particles are at opposite corners of a trapezoid as shown in Figure P23.27. Find symbolic expressions for the total electric field at (a) the point P and (b) the point P’. 23- 31. Three point charges are located on a circular arc as shown in Figure P23.31. (a) What is the total electric field at P, the center of the arc? (b) Find the electric force that would be exerted on a - 5.00-nC point charge placed at P. 24- 7. An uncharged, non-conducting, hollow sphere of radius 10.0 cm surrounds a 10.0-µC charge located at the origin of a Cartesian coordinate system. A drill with a radius of 1.00 mm is aligned along the z axis, and a hole is drilled in the sphere. Calculate the electric flux through the hole. 24- 9. The following charges are located inside a submarine: 5.00 µC, -9.00 µC, 27.0 µC, and -84.0 µC. (a) Calculate the net electric flux through the hull of the submarine. (b) Is the number of electric field lines leaving the submarine greater than, equal to, or less than the number entering it? 24- 25. A 10.0-g piece of Styrofoam carries a net charge of -0.700 µC and is suspended in equilibrium above the center of a large, horizontal sheet of plastic that has a uniform charge density on its surface. What is the charge per unit area on the plastic sheet? 24- 29. Consider a thin, spherical shell of radius 14.0 cm with a total charge of 32.0 µ C distributed uniformly on its surface. Find the electric field (a) 10.0 cm and (b) 20.0 cm from the center of the charge distribution.
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