. 4 - cyby anja colic lel (45) X CO PHY-252-101-2024SP: Proble x 5 PS2 (1).pdf X C File /Users/moesaleh/Downloads/PS2%20(1).pdf DIE LOM Relaunch to update : M Gmail YouTube lil Courses i Content Washington, D.C. t... 0 Review Trip Detail... All Bookmarks PS2 (1).pdf 1 / 2 - 75% + Gauss's Law and Electric Potential PHY 252 Problem Set #2 1. A hollow conducting sphere has an inner and outer radius of R1 and R2 respectively. A point charge of + Q sits inside the hollow sphere at the center. Additionally, a charge of +2Q is distributed over its outer surface. Use the concept of Gauss's Law to determine (a) the E-field inside the hollow sphere, (b) the E-field between R, and R2, and (c) the E- field outside of the sphere. (Hint: consider how charges move on conductors!) 1 2. Recall from Physics I that, for a conservative force: F = - . S ay. Show that this is true for the electric potential. 3. If a proton is launched at a 2.0mm glass sphere with a velocity of 2.0 x 10' m/s, how might the sphere be charged such that the proton just makes it to its surface. 2 4. In the textbook, Equation 29.12 states that AUelec = 24192 - 29192. Next, it is then simplified to Equation 29.13 as AUelec = 24192. Explain how two terms on the right-hand side of Equation 29.12 becomes a single term in Equation 29.13. 5. Beginning from first principles, show that the E-field of a parallel-plate capacitor is, in fact, E = n/co. a. Write Uelec in terms of n and co. b. Write AV in terms of n and Eo. c. How does AV change as the charge density of a plate is increased/decreased? 6. Suppose the plates of a square parallel-plate capacitor are placed 2.0mm apart. If the area of each plate is 0.5cm2, how many excess electrons will be on the negative plate if a voltage of 1.5V is placed across the capacitor?. 4 - cyby anja colic lel (45) X CO PHY-252-101-2024SP: Proble x 5 PS2 (1).pdf X C File /Users/moesaleh/Downloads/PS2%20(1).pdf Relaunch to update : M Gmail YouTube lil Courses i Content Washington, D.C. t... 0 Review Trip Detail.. All Bookmarks E PS2 (1).pdf 2 /2 - 75% + 7. True or false: 1 N/C = 1 V/m. Which units are typically used by scientists and engineers? 8. Draw and label a potential graph and contour plot for: a. A point charge of 1nC. b. A parallel-plate capacitor with AV = 2.0V 9. The electric potential generated by a particular point charge is 1.5V at a distance of 1.0cm. What is the potential 2.0cm away 10. STOP TO THINK 29.4 Rank in order. from largest to smallest, the potentials V, to V. at the points a to e. A+4+4 44+4+44414 2 11. STOP TO THINK 29.5 Rank in order. from largest to smallest the potential differences AV. AV., and AV between points a and b, points a and c. and points b and c. 12. An annulus of inner radius R, and outer radius R2 lies at the center of the xy-plane and is uniformly charged with Q. Determine the potential at a point, z, on the z-axis