Question

In a certain region of space, there exists a uniform electric field of value $2 \times 10^{2} \hat{k} \,Vm ^{-1}$. A rectangular coil of dimension $10\, cm \times 20\, cm$ is placed in the $x y$ plane. The electric flux through the coil is

• A. zero
• B. $30\, Vm$
• C. $40 \,Vm$
• D. $50\, Vm$

Answer 1

Answer: (C)

$\vec{E}=2000 \,\hat{k}, \vec{A}=10 \times 20 \times 10^{-4} \hat{k}$
$\phi=\vec{E} \cdot \vec{A}=40\, Vm$