Given a uniform electric field `vecE=4xx10^(3)hati N//C`. Find the flux of this field through a square of side 5cm on a side whose plane is parallel to the y-z plane. What would be the flux through the same square, if the plane makes a `30^(@)` angle of with the x-axis?

Explanation

To solve the problem step by step, we will calculate the electric flux through the square in two scenarios: when the square is parallel to the y-z plane and when it makes a 30-degree angle with the x-axis.

### Step 1: Understanding the Electric Field and Area
The electric field is given as:
\[ \vec{E} = 4 \times 10^3 \hat{i} \, \text{N/C} \]
The side of the square is given as 5 cm, which we need to convert to meters:
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