A magnetic field in a certain region is given by $\overrightarrow{B}=\left(40\hat{\mathrm{i}}-18\hat{\mathrm{k}}\right)\mathrm{G}.$ How much flux passes through a 5.0cm² area loop if the loop lies flat on xy - plane ? 

 

Given data: magnetic field $\overrightarrow{\text{B}}=(4.0\hat{\text{i}}-1.8\hat{\text{k}})\times {10}^{-3} \text{T}$

Concept solution: electromagnetic induction

Detailed used:

A measurement of the total magnetic field that traverses a specific area is called magnetic flux.

, $\overrightarrow{\text{B}}=(4.0\hat{\text{i}}-1.8\hat{\text{k}})\times {10}^{-3} \text{T}$

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

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