Question

The electric field in a region of space is given by e=ei+2ej where e0 is 100n/c

Answer 1

your question is incomplete. A complete question is ---> The electric field in a region of space is given by $E=E_0\hat{i}+2E_0\hat{j}$ where $E_0$ is 100N/C, The flux of the field through a circular surface of radius 0.02 m parallel to the YZ plane is nearly.

solution : area of circular loop , A = πr² i [ actually, circular surface is parallel to the YZ plane so, area vector perpendicular to YZ plane e.g., along x-aixs. ]

now, A = 3.14 × (0.02)² = 12.56 × 10^-4 i m²

electric field, E = (100i + 200j) N/C

now, electric flux through loop = E.A

= (100i + 200j).(12.56 × 10^-4) i

= 12.56 × 10^-2 Nm²/C

= 0.1256 Nm²/C

hence, answer is 0.1256 Nm²/C