A cylinder of radius R and length L is placed in a uniform electric field E parallel to the cylinder axis. The total flux for the surface of the cylinder is given by :
Zero
Step 1: Given data
Radius of the cylinder
Length of the cylinder
Strength of the electric field
Step 2: Assumptions
Flux through surface “A”
Flux through surface “B”
Flux through curved surface “C”
Total flux for the surface of the cylinder
Small elementary area over the surface “C”
Step 3: Formula used
………………………..(a)
Step 3: Calculation of the total flux through the surface of the cylinder
Flux through the surface “A”, …………………………………..(b)
Logically speaking, the flux through the surface “B” will be opposite and equal to the flux through surface “B”
Flux through the surface, “B”, …………………………………(c)
Flux through curved surface “C”,
………………………………..(d)
Using equations (b), (c) and (d) in equation (a), we get
Hence, option (D) is correct.