Why Magnetic Monopoles Do Not Exist (Cutting a Magnet)

Physics · Magnetism And Matter · NEET

A magnetic monopole is a single isolated north or south pole on its own. It does not exist in nature. If you cut a bar magnet in half, each piece becomes a new, complete magnet with both a north and a south pole. Memory hook: "Cut a magnet, get two magnets" — the poles always come in pairs, never alone.
Cut a magnet → two smaller magnets (poles never separate)NScut hereNSNSeach piece = full magnet (N and S)No monopolesingle N or single Snever appearsField lines stay closed loops → net flux through closed surface = 0
Cutting a bar magnet (across or along its length) always yields two smaller complete magnets, each with a north and south pole. A single isolated pole (monopole) never appears — which is why magnetic field lines stay closed and net magnetic flux through any closed surface is zero.

Your doubts, answered

If I cut a bar magnet in half, do I get a single north pole in one piece and a single south pole in the other?

No. This is the most common mistake. When you cut a bar magnet, each half instantly forms its own new north AND south pole. You end up with two smaller bar magnets, each complete with both poles. You can keep cutting into tiny pieces — every piece is still a full dipole. You never isolate a lone pole.

What exactly is a magnetic monopole?

A magnetic monopole would be a single, isolated magnetic charge — just a north pole with no south, or just a south with no north — like how a proton (+) and an electron (-) exist separately as electric charges. No experiment has ever found one. The simplest magnetic object is always a dipole (a pole pair), so magnetism has no true 'sources' or 'sinks' the way electric charge does.

Electric charges can be isolated, so why can't magnetic poles?

An isolated positive or negative electric charge exists (e.g. charge e = 1.6 x 10^-19 C). But magnetism does not come from magnetic 'charges' — it comes from moving charges and circulating currents inside atoms. A bar magnet acts like a bundle of tiny current loops. Cutting it just gives you more current loops, each still behaving as a dipole. Since the source is a loop, not a charge, you can't get a lone pole.

Does the magnet get weaker each time I cut it?

Yes. NCERT states that breaking a bar magnet into halves gives two similar bar magnets 'with somewhat weaker properties.' Each smaller magnet has a smaller magnetic dipole moment because it contains fewer aligned atomic current loops, but it is still a complete magnet.

Why do magnetic field lines being closed loops prove monopoles don't exist?

Because there is no isolated pole, magnetic field lines never start or end at a point — they always form continuous closed loops (passing through the magnet). Electric field lines can start on a + charge and end on a - charge because those charges exist alone. Magnetic lines have nowhere to 'begin' or 'stop', which is exactly what 'no monopole' means.

⚠️ The NEET trap
Cutting a bar magnet transverse to its length separates the poles: one piece keeps the N pole, the other keeps the S pole.
Cutting it either transverse to its length OR along its length gives two smaller bar magnets, each with its own N and S pole. Poles are never separated.
🧠 Test line to remember: 'You cannot isolate the north or south pole of a magnet.' Any option claiming a single isolated pole is the trap answer.

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Frequently asked

Do magnetic monopoles exist?

No. No isolated single magnetic pole has ever been observed in nature. The simplest magnetic element is always a dipole (a north-south pole pair) or a current loop.

What happens when you cut a bar magnet into two pieces?

You get two smaller bar magnets, each with its own north and south pole and somewhat weaker magnetic properties. This is true whether you cut across the length or along it.

How is a bar magnet different from an electric dipole here?

An electric dipole is built from two separate real charges (+q and -q) that can exist alone. A bar magnet's poles cannot be pulled apart because magnetism comes from circulating currents, not from isolated magnetic charges.

How does 'no monopole' connect to Gauss's law for magnetism?

Because no isolated pole exists, the net magnetic flux through any closed surface is zero: the flux integral of B over a closed surface = 0. Field lines that enter a surface must also leave it. In electrostatics the same integral equals the enclosed charge over epsilon-0, because isolated charges do exist.

Why can't we isolate a magnetic pole even in theory here?

A bar magnet behaves like a large number of tiny circulating atomic current loops (like cutting a solenoid gives two smaller solenoids). Each loop is a dipole, so no cut can ever produce a single pole.