A coil is placed in a magnetic field vec{B} a | vedclass

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(A) $1$. The magnetic flux through the coil is given by $\Phi = \vec{B} \cdot \vec{A} = BA \cos 	heta$. For an induced current to exist,the magnetic

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Outward and decreasing with time

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(A) $1$. The magnetic flux through the coil is given by $\Phi = \vec{B} \cdot \vec{A} = BA \cos 	heta$. For an induced current to exist,the magnetic flux must change with time.$2$. If $\vec{B}$ is parallel to the plane of the coil,the angle $	heta = 90^\circ$,so $\Phi = 0$. Thus,options $B$ and $D$ are incorrect.$3$. The induced current in the coil is in the anticlockwise direction. According to Lenz's Law,the induced magnetic field must oppose the change in flux.$4$. If the external magnetic field $\vec{B}$ is directed outward (perpendicular to the plane of the coil),an anticlockwise induced current creates an inward magnetic field to oppose the change.$5$. For the induced current to be anticlockwise,the outward flux must be decreasing so that the induced field acts to support the outward direction. Therefore,$\vec{B}$ must be outward and decreasing with time.

$A$ coil is placed in a magnetic field $\vec{B}$ as shown below. $A$ current is induced in the coil because $\vec{B}$ is:

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