Question 1:

A cylindrical conductor of radius, a, carries a uniform charge density, 2, on its surface. The electric potential is V(r) = A In C/ a) a. What is the potential inside of the conductor? b. Briefly, in 2 or 3 sentences, discuss what it means to have the potential diverge at large distances.A single, loop of wire with radius, a, has a current, I, running through it. Use the Biot-Savart law to determine the magnetic field at a point, z, above the center (magnitude and direction). Use the following table to evaluate the integral. Derivatives: " Inat = - singer = aomar d dr Integrals: n + (n # -1) 4! = Inx sinardr = - -ous di cosards = - sin nut Va = unsin- = Cancran- xdx Power series (convergent for range of & shown) (m - 1)(n - 2) 1717 (1+ x) = 1+ mr + tan = + -+ 21 3! 15 315 + ... (x