Consider a uniform electric field `E = 3xx10^(3) hat(i) N//C`. (a) What is the flux of this field through a square of 10 cm on a side whose plane is parallel to the yz plane ? (b) What is the flux through the same square if the normal to its plane makes a `60^(@)` angle with the x-axis ?

Explanation

To solve the problem, we will calculate the electric flux through a square in two different scenarios as described in the question.

### Given Data:
- Electric Field, \( E = 3 \times 10^3 \, \hat{i} \, \text{N/C} \)
- Side of the square, \( a = 10 \, \text{cm} = 0.1 \, \text{m} \)
- Area of the square, \( S = a^2 = (0.1 \, \text{m})^2 = 0.01 \, \text{m}^2 \)

### Part (a): Flux through the square parallel to the yz-plane
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