Question

2. Consider a cylindrical conductor with a radius of 7.00 cm and a length of 2.40 m with Q load distributed on the surface. The measures that the magnitude of the electric field at a point 19.0 cm radial from the conductor axis measured from the center of the cylinder is 36 KN/C. to. a. Find formulas for the magnitude of the electric field inside and outside the cylinder. Graph your results. b. Calculate the net charge on the surface of the conductor. Explain why this load has to be evenly distributed

Answer 1

Here we apply concept of Gauss's law of electrostatics and properties of conductor.

An Radius, R=7cm length, f = 2.4m Change =Q - at x =19cm, E =364NZC ut il Comider Grausian cylinder of radimer rur, As Cylinder al conductor so electric field inside at muut be zero. - fzo fox <7cm Consider Gaussian Cylinder of radius' &&R | Clarge enclosed din a'Q ho We can see, electric - a field lines are radially outward from central arls of Cylinder Total Pelectric flun through cylinder Qin 5262 (0x2) Cond 90° + £ ( 2017 0 Coco - PE = E(211 Y lide from Graus's law of Electrostatics de = Qinte 5E(280) na

TE = fox r = 7s ng хи co (6 at r=19cm , E = 36,000 N/a → 36,000 N = Q 27(8.854 x16120726-19m)2. tom) Q = 9.132 x 167 Coulant ! de cylinder as axonmetrical in shape falso it is conduc for so charge I will be distributed uniformly on its surface.