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: $$\Phi_E = 3 \times 10^3 \times 300 = 9 \times 10^3 \, \text{Vm}$$