Question

#1 and #3

I) )A solid insulating sphere of radius a carries a net positive charge density 3p uniformly distributed throughout its volume. A conducting spherical shell of inner radius 2a and outer radius 3a is concentric with the solid sphere and carries a net charge density-22 Using Gauss's law, find the electric field everywhere. Sketch the electric field 2) "A) The current density in a cylindrical wire of radius R meters is uniform across a cross section of the wire and is given by J Ampere/meter. What is the current through the portion of the wire between radial distances R/4 and R/2? VB) Suppose, instead, that the current density through a cross section varies with radial distance r as J-a here a is a constant. What now is the current through the same portion of the wire? 3) The figure shows a uniformly charged disk with an inner radius a an outer radius 24, and surface charge density 4ơ resting onz2 above the xy plane. In addition, there is a uniformly charged ring with radius 3a and charge density 22 on the xy plane. Moreover, there are 3 point charges located at 4a as shown. A) Calculate the potential at point P.

Answer 1

3a 2a using 8oSS's aw E. 3 Es 0 fo a raing gass's lau E ds 2.

for γ53a using Jauss law- 3 2o
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