Direction of Induced Current in Two Coupled Solenoids (PYQ)

Physics · Electromagnetic Induction · NEET

When a bar magnet moves between two solenoids, use Lenz's law on each one separately: the solenoid the magnet is leaving loses flux, so it pulls the magnet back; the solenoid the magnet is approaching gains flux, so it pushes the magnet away. Memory hook: "Leaving coil attracts, approaching coil repels" — the near face of each solenoid always tries to stop the magnet's motion.
Magnet moving from Solenoid-1 toward Solenoid-2Solenoid-1ABflux ↓ (attracts)SNvSolenoid-2CDflux ↑ (repels)Current: A → BCurrent: D → COpposite flux changes ⇒ opposite current directions
The magnet leaves Solenoid-1 (flux decreasing, so it attracts: current A→B) and approaches Solenoid-2 (flux increasing, so it repels: current D→C). Opposite flux changes give opposite current directions — the NEET 2024 answer AB and DC.

Your doubts, answered

How do I know which way the current flows in each solenoid?

Treat each solenoid one at a time. First ask: is the magnet moving toward this coil or away from it? Moving toward = flux through the coil is increasing; moving away = flux is decreasing. Then apply Lenz's law: the coil makes a magnetic pole on its near face that opposes the change. Approaching magnet = the coil's near face becomes the SAME pole as the magnet's near face (to push it back). Leaving magnet = the coil's near face becomes the OPPOSITE pole (to pull it back). Finally use the right-hand rule to convert that pole into a current direction through the given terminals.

Why does the coil the magnet is leaving attract the magnet?

As the magnet moves away, the flux linked with that coil is decreasing. Lenz's law says the induced current opposes this decrease, so the coil tries to keep the flux up. To do that, its near face becomes the OPPOSITE pole to the magnet's near face (unlike poles attract), pulling the magnet back to hold on to its flux. This opposition is exactly why you must push the magnet — that mechanical work becomes the electrical energy (conservation of energy).

Does the induced current flow the same way in both solenoids?

No — and this is the whole trap. One solenoid is losing flux and the other is gaining flux, so they oppose OPPOSITE changes and end up with opposite pole faces. That is why the answer is a pair like 'AB and DC', not 'AB and CD'. Never assume both coils behave the same just because it is one magnet.

How do I turn a pole into a terminal direction like AB or BA?

Use the right-hand thumb rule for a solenoid: curl your right-hand fingers along the current in the windings, and your thumb points to the North face. So decide the pole Lenz's law requires, then choose the current direction (and hence which labelled terminal is entry vs exit) that produces that North face. The exam figure fixes the winding sense, so only one of AB or BA gives the needed pole.

⚠️ The NEET trap
Both coils get the same current direction (e.g. AB and CD), because it is a single magnet passing through.
The two coils face OPPOSITE changes — one loses flux, one gains flux — so their near faces are opposite poles and the current directions are opposite (AB and DC in NEET 2024).
🧠 One magnet, two OPPOSITE flux changes: analyse each coil on its own, never copy one answer onto the other.

Real NEET questions

NEET 2024

A strong bar magnet (N-pole facing right) is moving towards solenoid-2, away from solenoid-1. The directions of the induced current in solenoid-1 and solenoid-2 respectively are:

A · BA and CD
B · AB and CD
C · BA and DC
D · AB and DC
Solution: Analyse each solenoid separately using Lenz's law. Step 1 — Solenoid-1 (terminals A, B): the magnet is moving AWAY from it, so the flux linked with solenoid-1 is DECREASING. Lenz's law: the induced current opposes the decrease, so solenoid-1 tries to attract the retreating magnet. Its near face must become the OPPOSITE pole to the magnet's face. The current that produces this face flows in the direction AB. Step 2 — Solenoid-2 (terminals C, D): the magnet is moving TOWARD it, so the flux linked with solenoid-2 is INCREASING. Lenz's law: the induced current opposes the increase, so solenoid-2 repels the incoming magnet. Its near face must become the SAME pole (N) as the magnet's face. The current that produces this face flows in the direction DC. Step 3 — Combine: solenoid-1 gives AB, solenoid-2 gives DC. Notice the directions are OPPOSITE because one coil loses flux while the other gains it. Answer: (D) AB and DC.

Solved Electromagnetic Induction NEET PYQs

Try the real previous-year questions from this chapter — each with the answer and a full solution.

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Frequently asked

Is this problem based on Faraday's law or Lenz's law?

Both. Faraday's law tells you an emf and current are induced because the flux is changing. Lenz's law tells you the DIRECTION of that current — it opposes the change. For 'which way does the current flow' questions like this two-solenoid PYQ, Lenz's law is the tool you actually use.

What if the magnet's South pole faced the coils instead of North?

The logic is identical; only the poles flip. The leaving coil still attracts (opposite pole on its near face) and the approaching coil still repels (same pole on its near face). Just re-run the right-hand rule with the reversed pole, and both current directions reverse.

Why is this a common NEET trap?

Students see one magnet and assume both solenoids react the same way, choosing 'AB and CD'. But the two coils sit on opposite sides of the moving magnet, so one is losing flux and one is gaining flux. Opposite changes give opposite current directions — the correct pair is 'AB and DC'.

Does the strength or speed of the magnet change the DIRECTION?

No. Speed and magnet strength change only the SIZE of the induced emf and current (bigger dΦ/dt means bigger current). The direction is set purely by whether flux is increasing or decreasing, so it stays the same for a fast or slow magnet.