
The current flows from the A to B shown in the figure, then the direction of the induced current in the loop will be
A) Straight line
B) Anti clockwise
C) Clockwise
D) None of these
Answer
573.3k+ views
Hint
To find the direction of the induced current in the given coil we use Lenz’s law this helps us to find the direction of the induced current in the coil and to find the direction of the current we use right hand screw rule, Where Lenz’s law state that the direction of the electric current which is induced in the conductor by changing the magnetic field is such that the magnetic fields created by the induced current opposes the initial changing the magnetic field.
Complete step-by-step answer:
As we all know that the charge in motion induces an electric current, and as in the given question we have to find the direction of induced current in the coil. This can be found out with the help of Lenz's law. So according to the direction of the current, the direction of the induced magnetic field is in the upward direction or we can say it is coming out of the plane. So by Lenz's law the direction of current in the coil in such a way that it will oppose the magnetic field induced by the wire. So a current in the coil will be induced in the clockwise direction.
Hence the correct option is (C).
Note
Lenz’s law does not give the value or the magnitude of the induced EMF; It just only gives the direction of the induced EMF. Lenz’s law is contained in the rigorous treatment of the faraday’s law of induction, where it finds the expression by the negative sign which indicate that the induced electromotive force ($\varepsilon $) and the rate of the change in the magnetic flux ($\phi $) have opposite sign-
$\varepsilon = - \dfrac{{d\phi }}{{dt}}$.
To find the direction of the induced current in the given coil we use Lenz’s law this helps us to find the direction of the induced current in the coil and to find the direction of the current we use right hand screw rule, Where Lenz’s law state that the direction of the electric current which is induced in the conductor by changing the magnetic field is such that the magnetic fields created by the induced current opposes the initial changing the magnetic field.
Complete step-by-step answer:
As we all know that the charge in motion induces an electric current, and as in the given question we have to find the direction of induced current in the coil. This can be found out with the help of Lenz's law. So according to the direction of the current, the direction of the induced magnetic field is in the upward direction or we can say it is coming out of the plane. So by Lenz's law the direction of current in the coil in such a way that it will oppose the magnetic field induced by the wire. So a current in the coil will be induced in the clockwise direction.
Hence the correct option is (C).
Note
Lenz’s law does not give the value or the magnitude of the induced EMF; It just only gives the direction of the induced EMF. Lenz’s law is contained in the rigorous treatment of the faraday’s law of induction, where it finds the expression by the negative sign which indicate that the induced electromotive force ($\varepsilon $) and the rate of the change in the magnetic flux ($\phi $) have opposite sign-
$\varepsilon = - \dfrac{{d\phi }}{{dt}}$.
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