Consider a closed loop C in a magnetic field (figure). The flux passing through the loop is defined by choosing a surface whose edge coincides with the loop and using the formula $\mathrm{\varphi }={\overrightarrow{\mathrm{B}}}_1.\mathrm{d}{\overrightarrow{\mathrm{A}}}_1,<mspace\; width="1em"></mspace>{\overrightarrow{\mathrm{B}}}_2.\mathrm{d}{\overrightarrow{\mathrm{A}}}_2$ ...... . Now, if we choose two different surfaces ${\mathrm{S}}_1<mspace\; width="1em"></mspace>\mathrm{and}<mspace\; width="1em"></mspace>{\mathrm{S}}_2$ having C as their edge, would we get the same answer for flux. Justify your answer.