The north pole of a long horizontal bar magnet is being brought closer to a vertical conducting plane along the perpendicular direction. The direction of the induced current in the conducting plane will be

Options

A. horizontal
B. vertical
C. clockwise
D. anti-clockwise

Explanation

To determine the direction of the induced current in the conducting plane when the north pole of a long horizontal bar magnet is brought closer to it, we can follow these steps:

### Step 1: Identify the Situation
We have a vertical conducting plane and a long horizontal bar magnet with its north pole approaching the plane. The motion of the magnet is perpendicular to the plane.

**Hint:** Visualize the setup: the magnet is moving towards the conducting plane, and consider the orientation of the north pole.

### Step 2: Determine the Change in Magnetic Flux
As the north pole of the magnet approaches the conducting plane, the magnetic field lines from the north pole are entering the plane. This results in an increase in magnetic flux through the plane.

**Hint:** Remember that magnetic flux is related to the strength of the magnetic field and the area through which it passes.

### Step 3: Apply Faraday's Law of Electromagnetic Induction
According to Faraday's Law, a change in magnetic flux through a circuit induces an electromotive force (EMF) in that circuit. The induced EMF is proportional to the rate of change of magnetic flux.

**Hint:** Think about how the change in flux relates to the direction of induced current.

### Step 4: Use Lenz's Law
Lenz's Law states that the direction of induced current will be such that it opposes the change in magnetic flux that produced it. Since the magnetic flux is increasing due to the approaching north pole, the induced current will flow in a direction that creates a magnetic field opposing this increase.

**Hint:** Consider what direction the induced magnetic field needs to point to oppose the incoming magnetic field of the north pole.

### Step 5: Determine the Direction of Induced Current
If the north pole of the magnet is approaching the conducting plane, the induced current must flow in a direction that creates a south pole facing the north pole of the magnet (to oppose the increase in magnetic flux).

Using the right-hand rule, if the observer is facing the conducting plane and the north pole is moving towards them, the induced current will flow in an anticlockwise direction around the area of the conducting plane.

**Hint:** Use your right hand: point your thumb in the direction of the magnetic field created by the induced current (which should oppose the north pole), and your fingers will curl in the direction of the induced current.

### Conclusion
The direction of the induced current in the conducting plane will be anticlockwise as viewed from the observer's perspective.

**Final Answer:** The induced current will flow in an anticlockwise direction.