Question

(Figure 1)An infinitely long conducting cylindrical rod with a positive charge, per unit length is surrounded by a conducting cylindrical shell (which is also infinitely long) with a charge per unit length of -21 and radius , as shown in the figure. Part A What is E (r), the radial component of the electric field between the rod and cylindrical shell as a function of the distance from the axis of the cylindrical rod? Express your answer in terms of X, r, and to, the permittivity of free space. View Available Hint(s) IVO AED ? Submit Part B Figure 1 of 1 What is Oider, the surface charge density (charge per unit area) on the inner surface of the conducting shell? View Available Hint(s) ΤΑ ΑΣ4 ? - 2A Dinner = Submit

Answer 1

we مداع ४ it For electric field between the thoo bodies, take Gaussian cylinderical surface of radius and length L, char en closed in -ge will be Zena d. L EO) is normal surface so f Ecos. ds 2TYL E Cor) usiy Gauss' Law can write, Tenc to AL Ely). 27rL: E cosa Eo attor and Now, we : ته رده م کی = ) کر we oinna, density if area change o añol AL can coolte inn =) Jinnera 277- radius inner cylinder © shell we can write, الا یا outer cylinderical Dout 250 L = - 20L Jouts us KY we take Gaussian again S for outside Cylinderi cal Now, radius 7. the shell surface of Yenc +AL +(-20) L = & Eco) ds = E 6o) 27L- -12 So, -AL Ey: - aator