Question

For the given diagram, E=ϕxN/C, the net flux through the cube of side x=1 cm, placed at x=1 cm from the origin is:

• A. \(2 \times 10^{-6} \, \text{Wb} \\\)
• B. \(1 \times 10^{-6} \, \text{Wb} \\\)
• C. \(3 \times 10^{-6} \, \text{Wb} \\\)
• D. \(4 \times 10^{-6} \, \text{Wb} \\\)

Answer 1

The Correct Option is B

\(\textbf{Solution:} \text{ The electric field } E = \phi x \, \text{N/C}, \text{ where } \phi = 1. \text{ The flux through the cube is calculated using:}\)
\(\Phi = E \times A\)
\(\text{Given that the area } A \text{ is the surface area of the cube and the electric field changes with position, the net flux is computed as:}\)
\(\Phi = \phi \times 1 \times 10^{-6} = 1 \times 10^{-6} \, \text{Wb}\)
\(\text{Thus, the correct answer is } 1 \times 10^{-6} \, \text{Wb}.\)