Question

The magnetic field in a certain region is given by $\overrightarrow{B}=(4.0\hat{i}-1.8\hat{k})\times {10}^{-3}T$. How much flux passes through a $5.0{cm}^2$ area loop in this region if the loop lies flat on the $x-y$ plane?

• A. $8\times {10}^{-5}Wb$
• B. $3\times {10}^{-5}Wb$
• C. $9\times {10}^{-7}Wb$
• D. $3\times {10}^{-7}Wb$

Answer 1

Answer: (C)

$9\times {10}^{-7}Wb$

$\overrightarrow{S}=\left[(5\times {10}^{-4})\hat{k}\right]m^2$

$\varphi =|\overrightarrow{B}\cdot \overrightarrow{S}|=9\times {10}^{-7}Wb$