6. Problem Solving Part (Under PT) 0-1 - Integrative Problem [Relating Coulomb's Law, Gauss's Law and Electric Potential]. (a) Using Gauss's Law find the electric field of a coaxial cylinder with radius a (inner most), in between, and in b (outermost) with length / where we treat the charge distribution to be a volume charge distribution (Answer: innermost Ē = rî, middle, E = pa² −, outermost Ē). (b) What is the force if we place a charge q at radius R of the coaxial cylinder? Hint: This is just a direct substitution. Find the potential using the equation, V = -SE. di. Hint you can set the limits of integration from 0 to a. Answer: V = - 2€0 2€or ραζ (1 + 2 In (²)) 4€0

6. Problem Solving Part (Under PT) 0-1 - Integrative Problem [Relating Coulomb's Law, Gauss's Law and Electric Potential]. (a) Using Gauss's Law find the electric field of a coaxial cylinder with radius a (inner most), in between, and in b (outermost) with length / where we treat the charge distribution to be a volume charge distribution (Answer: innermost Ē = rî, middle, E = pa² −, outermost Ē). (b) What is the force if we place a charge q at radius R of the coaxial cylinder? Hint: This is just a direct substitution. Find the potential using the equation, V = -SE. di. Hint you can set the limits of integration from 0 to a. Answer: V = - 2€0 2€or ραζ (1 + 2 In (²)) 4€0