GA3.2 -12 8.854 x 10 9.10938356 × 10¬31 kg. Unless specified otherwise, each F/m. Magnitude Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m² /C². Vacuum permitivity, €o of the Charge of one electron, e = –1.60217662 × 10¬19 C. Mass of one electron, me symbol carries their usual meaning. For example, µC means micro coulomb. Suppose you have q = 17 µC charge placed at the orign of your coordinate system. a) Using Gauss's law, find the electric field at distance r 9 m from the charge. Magnitude of the electric field Give your answer up to at least three significance digits. N/C b) Now you place a hollow conducting sphere of inner radius a = 4.5 m and outer radius b = 18.0 m. Calculate the net enclosed charge by the Gaussian surface of radius rị. net enclosed charge by the Gaussian surface of radius r1 Give your answer up to at least three significance digits. C b c) Now consider another hollow conducting sphere of inner radius c = 27 m and outer radius d = 45 m. Calculate the net enclosed charge by the Gaussian surface of radius r2 = 22.5 m and electric field at r2. net enclosed charge by the Gaussian surface of radius r2 Give your answer up to at least three significance digits. C Electric field at r2 Give your answer to at least two significance digits. N/C d) Calculate the net flux through the Gaussian sphere of radius r2. net flux through the Gaussian sphere of radius r2 Give your answer up to at least three significance digits. N. m²/C e) Calculate the potential at the following distances from the point charge q and explain your result. Assume that at infinity the potential is zero, i.e. V (0) = 0. Potential at r=d Give your answer up to at least three significance digits. volts Potential at r = c Give your answer up to at least three significance digits. volts c+d Potential atr= 2 Give your answer up to at least three significance digits. volts f) Plot electric field as a function of distance from origin for this system. g) (bonus) Plot electric potential as a function of distance from origin for this system.

GA3.2 -12 8.854 x 10 9.10938356 × 10¬31 kg. Unless specified otherwise, each F/m. Magnitude Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m² /C². Vacuum permitivity, €o of the Charge of one electron, e = –1.60217662 × 10¬19 C. Mass of one electron, me symbol carries their usual meaning. For example, µC means micro coulomb. Suppose you have q = 17 µC charge placed at the orign of your coordinate system. a) Using Gauss's law, find the electric field at distance r 9 m from the charge. Magnitude of the electric field Give your answer up to at least three significance digits. N/C b) Now you place a hollow conducting sphere of inner radius a = 4.5 m and outer radius b = 18.0 m. Calculate the net enclosed charge by the Gaussian surface of radius rị. net enclosed charge by the Gaussian surface of radius r1 Give your answer up to at least three significance digits. C b c) Now consider another hollow conducting sphere of inner radius c = 27 m and outer radius d = 45 m. Calculate the net enclosed charge by the Gaussian surface of radius r2 = 22.5 m and electric field at r2. net enclosed charge by the Gaussian surface of radius r2 Give your answer up to at least three significance digits. C Electric field at r2 Give your answer to at least two significance digits. N/C d) Calculate the net flux through the Gaussian sphere of radius r2. net flux through the Gaussian sphere of radius r2 Give your answer up to at least three significance digits. N. m²/C e) Calculate the potential at the following distances from the point charge q and explain your result. Assume that at infinity the potential is zero, i.e. V (0) = 0. Potential at r=d Give your answer up to at least three significance digits. volts Potential at r = c Give your answer up to at least three significance digits. volts c+d Potential atr= 2 Give your answer up to at least three significance digits. volts f) Plot electric field as a function of distance from origin for this system. g) (bonus) Plot electric potential as a function of distance from origin for this system.