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  4. A magnetic field in a certain region is given by B=(40 hati-15 hatk)× 10-4 T. The magnetic flux passes through a loop of area 5.0 cm2 is placed flat on xy plane is

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Q. A magnetic field in a certain region is given by $B=(40\hat{i}-15\hat{k})\times 10^{-4} T$. The magnetic flux passes through a loop of area $5.0 \,cm^2$ is placed flat on xy plane is

Electromagnetic Induction

Solution:

$\phi = \overrightarrow{B}.\overrightarrow{A}$
= $[ ( 40 \hat{i} - 15 \hat{k} 10^{-4} ] [ 5 \times 10^{-4} \hat{k} ] $ = - 750 $nWb$