Question

A sphere of radius 𝑅=0.320 m

and uniform charge density  −151 nC/m3

lies at the center of a spherical, conducting shell of inner and outer radii 3.50 R and 4.00 R, 

4.00⁢R," role="presentation" style="box-sizing: border-box; display: inline-table; line-height: normal; font-size: 18px; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; font-family: STIX-Web; background-color: rgb(255, 255, 255); position: relative;">3 respectively. If the conducting shell carries a total charge of 𝑄=40.5 nC, find the magnitude of the electric field at the given radial distances from the center of the charge distribution.

Q=40.5 nC," role="presentation" style="box-sizing: border-box; display: inline-table; line-height: normal; font-size: 18px; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; font-family: STIX-Web; background-color: rgb(255, 255, 255); position: relative;">𝑄=40.5 nCQ=40.5 nC," role="presentation" style="box-sizing: border-box; display: inline-table; line-height: normal; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">$\text{,}$ find the magnitude of the electric field at the given radial distances from the center of the charge distribution.