A cylindrical suface is placed in uniform electric field in such a manner that axis of cylinder is parallel to the electric field intensity . Using the Gauss's law , prove that the net charge enclosed by this cylindrical surface must be zero.

Explanation

To prove that the net charge enclosed by a cylindrical surface placed in a uniform electric field (with the axis of the cylinder parallel to the electric field) is zero using Gauss's law, we can follow these steps:

### Step 1: Understand the Setup
We have a cylindrical surface in a uniform electric field, with the axis of the cylinder aligned parallel to the direction of the electric field.

### Step 2: Apply Gauss's Law
Gauss's law states that the electric flux through a closed surface is equal to the charge enclosed divided by the permittivity of free space (ε₀):
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