Question

In a region, the intensity of an electric field is given by $E =2 i +3 j + k$ in $NC ^{-1} .$ The electric flux through a surface $S =10\, i m ^{2}$ in the region is

• A. $5 \,Nm^{2}C^{-1}$
• B. $10\, Nm^{2}C^{-1}$
• C. $15\, Nm^{2 }C^{-1}$
• D. $ 20 \,Nm^{2} C^{-1}$

Answer 1

Answer: (D)

Given $E =(2 i +3 j + k ) NC ^{-1}$
and $S =10\, i\, m ^{2}$
We know that
$\phi = E \cdot S$
$\phi =(2 i +3 j + k ) \cdot(10 i )$
$\phi =20\, Nm ^{2} C ^{-1}$