Question

The magnetic field in a certain region is given by B=4i-k tesla how much magnetic flux passes through the loop of area 0.1 m^2 in this region if the loop lies flat in xy plane

Answer 1

Answer is in the attachment...

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Answer 2

Answer:

The magnetic flux passed through the loop is

$\phi_{B}=0.1\ Wb$

Explanation:

The magnetic flux is measure of the number of magnetic field lines passes through a surface.

The magnetic field in a region is $B=4\hat i-1\hat k$

The circular loop is flat in the plane x-y

The area of the loop is $A=0.1\hat k$

According to ampere's circuital law

The magnetic flux will be

$\phi_{B}=B.A\\\phi_{B}=(4\hat i-1\hat k).(0.1 \hat k)\\\phi_{B}=-0.1\ Wb$