An infinite line charge of uniform density l = 4 µC/m runs along the symmetry ax
ID: 1735119 • Letter: A
Question
An infinite line charge of uniform density l = 4 µC/m runs along the symmetry axis(z-axis) of a thin, infinitely long, non-conductingcylindrical shell of radius a1 = 0.1 m. Thelatter carries a uniform charge density s1 = 3 µC/ m2.Surrounding the latter and concentric with it is a thick,infinitely long, conducting cylindrical shell with inner radiusa 2 = 0.6 m and outer radiusa3 = 0.7 m. The conducting cylinder isuncharged.
(a) Calculate the charge per unit length on the non-conductingshell.
l1 = C/m
Explanation / Answer
l = 4 µC/m, a1= 0.1 m. o1 = 3 µC/ m2.a2 = 0.6 m, a3 = 0.7 m. a) on the conducting shell, charge on length L isl1 * L = 1* (2a1L) l1 = 1* (2a1) = 1.88 C/m = 1.88*10-6C/m