An infinitely-long, uniformly charged line of charge with linear charge density
ID: 1440479 • Letter: A
Question
An infinitely-long, uniformly charged line of charge with linear charge density lambda = 0.056_C/m lies a distance d = 0.02_m from the centre of a sphere with radius R = 0.28_m. What is the amount of charge inside the sphere? Determine the total electric flux through the surface of the sphere from this charge. [SJ E07 24.15] charge 0.04155_C 0.01732_C 0.05761_C 0.03114_C 0.05411_C 0.03128_C electric flux 4023000000_N Middle Dot m^2/C 3534000000_N Middle Dot m^2/C 3254000000_N Middle Dot m^2/C 3427000000. N Middle Dot m^2/C 2344000000. N Middle Dot m^2/C 3068000000. N Middle Dot m^2/CExplanation / Answer
Linear charge density of the wire = 0.056 C/m
Distance of wire from centre = 0.02 m
Radius of sphere = 0.28 m
16.Length of wire inside the sphere = 2×(0.282- 0.022)1/2
= 0.55857 m
Hence charge inside the sphere = 0.055857×0.056 C
= 0.03128 C
Hence f will be the answer.
17. Total eotallcetric flux through the sphere = charge enclosed / epsilon not
= 0.03128 / (8.85×10_12) = 3534451717
Hence answer is b.