Question

A uniform electric field \( E = 3 \times 10^3 \, \text{N/C} \) is acting along the positive Y-axis. The electric flux through a rectangle of area \( 10 \, \text{m} \times 30 \, \text{m} \), where the plane of the rectangle is parallel to the Z-X plane is

• A. \( 12 \times 10^3 \, \text{Vm} \)
• B. \( 9 \times 10^3 \, \text{Vm} \)
• C. \( 15 \times 10^3 \, \text{Vm} \)
• D. \( 18 \times 10^3 \, \text{Vm} \)

Answer 1

The Correct Option is B

The electric flux $\Phi_E$ is given by:
\[ \Phi_E = E \times A \] where $E = 3 \times 10^3 \, \text{N/C}$ and $A = 10 \times 30 = 300 \, \text{m}^2$. 
Thus, the flux is: \[ \Phi_E = 3 \times 10^3 \times 300 = 9 \times 10^3 \, \text{Vm} \]