Sigma Percentile
JEE Advanced 2006
LEVELJEE Main

Animated Solution for Physics - Electromagnetic Induction: Comprehension Passage

Modern trains are based on Maglev technology in which trains are magnetically leviated, which runs its EDS Maglev system. There are coils on both sides of wheels. Due to motion of train, current induces in the coil of track which levitate it. This is in accordance with Lenz's law. If trains lower down then due to Lenz's law a repulsive force increases due to which train gets uplifted and if it goes much high, then there is a net downward force due to gravity. The advantage of Maglev train is that there is no friction between the train and the track, thereby reducing power consumption and enabling the train to attain very high speeds. Disadvantage of Maglev train is that as it slows down the electromagnetic forces decreases and it becomes difficult to keep it leviated and as it moves forward according to Lenz's law, there is an electromagnetic drag force.
Question 1:

What is the advantage of this system ?

Select Answer:

Question 2:

What is the disadvantage of this system ?

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Question 3:

Which force causes the train to elevate up ?

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Visualized Solution

The Maglev Setup

  • Maglev (Magnetic Levitation) trains operate without wheels touching the track.
  • Coils on the track and magnets on the train interact to produce levitation.

Levitation via Lenz's Law

  • As the train moves, its magnetic field induces a current in the track coils.
  • By Lenz's Law, this induced current creates a magnetic field that opposes the change.
  • This results in an upward magnetic repulsive force that balances gravity .

Advantage: Zero Friction

  • Since the train is levitated, there is no physical contact between the train and the track.
  • Zero contact means zero mechanical friction.
  • This drastically reduces power consumption and allows for extremely high speeds.

Disadvantage: Electromagnetic Drag

  • The induced currents in the track also dissipate energy as heat ( losses).
  • This energy comes from the kinetic energy of the train.
  • This manifests as an electromagnetic drag force opposing the motion.

Conclusion

  • Advantage: No friction, hence low power consumption at high speeds.
  • Disadvantage: Electromagnetic drag due to Lenz's law.
  • Elevating Force: Magnetic force of repulsion.

The Sigma Insight: Lenz's Law

Solution Diagram
The magic of Maglev (Magnetic Levitation) trains lies in their ability to float above the tracks, completely eliminating mechanical friction. This is a beautiful, real-world application of Electromagnetic Induction and Lenz's Law. Let's break down the physics behind this incredible technology.

The Physics of Levitation

Imagine a train equipped with powerful magnets moving over a guideway lined with conductive coils. As the train moves, its magnetic field sweeps across these coils. According to Faraday's Law of Induction, this changing magnetic flux induces an electromotive force (EMF) and consequently, a current in the track's coils.
But what direction does this current flow? Enter Lenz's Law. The induced current will always flow in a direction that opposes the change in magnetic flux that created it. In this case, the track coils generate their own magnetic field that repels the train's magnets. This creates a strong upward magnetic force ().
When this upward magnetic force perfectly balances the downward gravitational force (), the train achieves a stable levitation. If the train dips too low, the magnetic flux changes more rapidly, increasing the repulsive force and pushing it back up. If it goes too high, the force weakens, and gravity pulls it back down.

The Ultimate Advantage

Zero Friction
Because the train is literally floating in the air, there is absolutely no physical contact between the train and the track. Zero contact means zero mechanical friction.
In traditional trains, a massive amount of energy is wasted just overcoming the friction between the wheels and the rails. By eliminating this, Maglev trains drastically reduce power consumption and can achieve incredibly high speeds, often exceeding 500 km/h.

The Hidden Cost

Electromagnetic Drag
However, the universe always demands a balance. The induced currents in the track coils don't just provide lift; they also encounter electrical resistance () within the coils. This causes energy to be dissipated as heat, known as losses.
Where does this dissipated energy come from? It is extracted directly from the kinetic energy of the moving train. This manifests as an electromagnetic drag force that constantly opposes the train's forward motion. As the passage notes, this drag is a direct consequence of Lenz's Law. While we eliminate mechanical friction, we must still overcome this electromagnetic drag to keep the train moving forward.

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