Question

Which of the following charge distributions can be accurately replaced by a single charge of magnitude Q at the origin (x=0,y=0,z=0) for the purposes of calculating the electric field at the location (x=0m,y=0m,z=2m).

a) a small solid sphere of radius r=0.5m and with a uniformly distributed charge of Q

b) a large solid sphere of radius r=4m a uniformly distributed charge of Q

c) a small spherical shell of inner radius r1=0.3m, outer radius r2=0.5m, and a uniformly distributed charge of Q

d) a medium-sized spherical shell of inner radius r1=1.5m, outer radius r2=2.5m, and a uniformly distributed charge of Q

e) a large spherical shell of radius r1= 3.0m, outer radius r2=5.0m, and a uniformly distributed charge of Q

f) two thin spherical shells; the first shell having a radius of r1=0.7m and a uniformly distributed charge of Q1​​; the second shell having a radius of r2=1.3m and a uniformly distributed charge of Q2​​, where Q=Q1+Q2

g) 8 equal positive charges, each of magnitude Q/8 ​​ arranged in a cube centered on the origin.

Choose the correct answer from the choices below:

only (a) and (c) : the small sphere and the small shell

only (a) and (b) : both of the solid spheres

only (a), (c), and (f) : the small sphere, the small shell, and the two thin shells.

only (c) - (f) : all of the spherical shells.

Answer 1

Sa Correct ons ven is the smal shel) twoth shells becouse al orhare rodius < 2m. That will give wr eledmic Field