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Three Fingers of Your Left Hand Tell You Which Way a Motor Turns

Work out the force on a current-carrying wire in a magnetic field with Fleming's left-hand rule, see how a motor and a generator invert each other, and understand why the earth wire, the fuse and the live-neutral colour code matter.

Why does a wire jump when you switch on the current near a magnet?

Because a current-carrying wire produces its own magnetic field, and a magnet placed nearby pushes on that field — so the wire is pushed too.

The experiment is simple enough to picture. Hang a short aluminium rod horizontally between the poles of a strong horseshoe magnet, connect it to a cell, and the rod is thrown sideways the moment the current flows. Reverse the current and it is thrown the other way. Reverse the magnet instead and again it reverses.

Three facts come straight out of that observation, and they are the whole of the first half of this page:

- A current-carrying conductor in a magnetic field experiences a force
- The force is largest when the current and the field are perpendicular to each other
- The force is perpendicular to both the current and the field — which is why the rod moves sideways rather than along its own length

That last fact is why a special rule is needed. Three mutually perpendicular directions cannot be kept straight by intuition, so Fleming's left-hand rule assigns one to each of three fingers.

And then the whole thing runs backwards. If a current in a field produces motion, motion of a conductor in a field produces a current — electromagnetic induction. The first effect is a motor; the second is a generator. Two devices, one principle used in opposite directions.

The chapter closes with the wiring of a house, which is where all of it meets daily life: the live and neutral wires, the earth wire that protects you, and the fuse that protects the wiring.

This page covers the second part of the CBSE Class 10 Science chapter on magnetic effects of electric current: the force on a conductor, Fleming's left-hand rule, the electric motor, induction and the generator, and domestic electric circuits.

How does Fleming's left-hand rule give the direction of the force?

Stretch the thumb, forefinger and middle finger of your left hand so that all three are mutually perpendicular. Point the forefinger along the magnetic field and the middle finger along the current; the thumb then points in the direction of the force on the conductor.

The mapping, in the order that makes it memorable.

- Forefinger — Field
- Middle finger — Current (the middle finger and the word "current" both come second)
- Thumb — Thrust, the force or the motion

Left hand, not right. Fleming's left-hand rule gives the force when a current is placed in a field — the motor case. Fleming's right-hand rule gives the direction of the induced current when a conductor is moved in a field — the generator case. Mixing them up is the most costly error in this chapter, because it reverses the answer.

What the force depends on.

- It is proportional to the current, so a larger current gives a larger force
- It is proportional to the strength of the field
- It is largest when the conductor is perpendicular to the field, and it is zero when the conductor lies along the field

That zero case is worth holding on to. A wire carrying current parallel to the field feels no force at all, however large the current. It is a common one-mark question, and the reason is that the force must be perpendicular to both — and when the two are parallel there is no such unique direction left to point in.

How the electric motor uses this. A rectangular coil is placed between the poles of a magnet and a current is passed through it:

- The two opposite arms of the coil carry current in opposite directions, since the current goes up one side and comes back down the other
- So by the left-hand rule the forces on them are in opposite directions — one arm is pushed up while the other is pushed down
- Two opposite forces on opposite sides produce a turning effect, and the coil rotates

Then comes the part that makes it keep rotating. After half a turn the arms have swapped places, so the force that was lifting one side would now be pushing it back down, and the coil would simply oscillate. The split ring, or commutator, reverses the current through the coil every half rotation, so the force on each side always acts to continue the turn. That is the function of the commutator, and it is the most frequently asked part of the motor.

Ways to make a motor more powerful, each following from what the force depends on:

- Increase the current
- Increase the number of turns in the coil
- Use a stronger magnet
- Wind the coil on a soft iron core, which concentrates the field

How does moving a magnet near a coil produce a current?

By electromagnetic induction. Whenever the magnetic field through a coil changes, a current is induced in the coil.

The experiment to describe: connect a coil to a galvanometer — a sensitive instrument that shows small currents and indicates their direction by deflecting either way from the centre — with no cell anywhere in the circuit. Then:

- Push a bar magnet toward the coil and the galvanometer deflects one way
- Pull it away and the deflection is in the opposite direction
- Hold the magnet still inside the coil and there is no deflection at all
- Move the coil instead of the magnet and you get the same result — only the relative motion matters

The middle case is the one that carries the principle. A stationary magnet, however strong, induces nothing. It is the change in the field through the coil that induces a current, not the field itself.

Two ways to get a bigger deflection. Move the magnet faster, or use a stronger magnet, or use a coil with more turns — anything that makes the field through the coil change more rapidly.

Fleming's right-hand rule gives the direction. Stretch the thumb, forefinger and middle finger of the right hand mutually perpendicular. Point the forefinger along the field and the thumb along the direction of motion of the conductor; the middle finger then gives the direction of the induced current.

Notice how neatly the two rules mirror each other. Left hand: field and current given, force found — the motor. Right hand: field and motion given, current found — the generator. Same three fingers, same three quantities, opposite hands because the cause and effect are swapped.

How a generator works. A rectangular coil is rotated in a magnetic field:

- As the coil turns, the field through it changes continuously, so a current is induced
- After each half rotation the sides swap position relative to the poles, so the induced current reverses direction
- A current that reverses direction periodically is alternating current, and the generator that produces it uses two slip rings
- To get a current in one direction only — direct current — the slip rings are replaced by a split ring, exactly as in the motor, so that the connection swaps at the moment the current would otherwise reverse

Alternating current in India reverses direction every hundredth of a second, which means the polarity swaps a hundred times in each second. The advantage of alternating current is that it can be transmitted over long distances with much less loss of energy, which is the reason the supply to your house is alternating rather than direct.

The essential difference to state. A motor converts electrical energy into mechanical energy; a generator converts mechanical energy into electrical energy. Both use a coil, a magnet and a rotation — the direction of the energy conversion is what distinguishes them.

What do the three wires in a domestic circuit actually do?

The live wire brings the current in, the neutral wire takes it back, and the earth wire is a safety path that carries current only when something has gone wrong.

The colour code and the potentials.

- Live wire — red insulation in the older convention, at a potential of V relative to earth
- Neutral wire — black, at earth potential, so it is the return path
- Earth wire — green, connected to a metal plate buried in the ground near the house

The potential difference between live and neutral is therefore ** V, which is the supply voltage every appliance is designed for.

Why the earth wire is the one that protects you. It is connected to the metal case of an appliance such as an iron, a geyser or a refrigerator. If the insulation inside fails and the live wire touches the metal body, then:

-
Without an earth wire** the case is at V, and anyone who touches it provides a path to the ground — a severe shock
- With an earth wire the fault current flows straight to the ground through the low-resistance earth path, and the large current blows the fuse, disconnecting the appliance

So the earth wire provides a low-resistance path to the ground and keeps the metal case at earth potential. That sentence is the answer to the most commonly asked question in this section.

Two separate circuits in a house, at different current ratings.

- **A lighting circuit with a A fuse, for bulbs, fans and other low-power devices
-
A power circuit with a A fuse, for the geyser, the heater and other heavy appliances

Everything is connected in parallel across the live and neutral wires**, so each appliance gets the full V and can be switched independently.

Worked example — sizing the circuit. A kW electric iron is used on a V supply. Which circuit must it be plugged into?



That is uncomfortably close to a A fuse, so **the iron belongs on the A power circuit.** Running it on the lighting circuit alongside a couple of bulbs would exceed A and blow the fuse.

The two faults every student must be able to distinguish.

- A short circuit happens when the live and neutral wires touch directly, usually because the insulation has failed. The resistance of the path becomes extremely small, so by Ohm's law the current becomes enormous
- Overloading happens when too many appliances are connected to one circuit, or when the supply voltage rises, so that the total current exceeds the safe value of the wiring

In both cases the fuse is what saves the house. A fuse is a short piece of wire of suitable material and thickness, with a low melting point, connected in series with the live wire. When the current exceeds the rated value, the heating melts the fuse wire and breaks the circuit before the wiring or the appliance is damaged.

Notice which chapter that formula came from. The fuse is the heating effect of current doing a safety job, the earth wire is low resistance doing a safety job, and the parallel wiring is the combination rule doing a convenience job. The three parts of the electricity chapter meet in the wiring of one house.
Exam tip

How do you avoid mixing up the left-hand and right-hand rules?

Ask what you are given before you raise a hand. Given a current and asked for motion, use the left; given a motion and asked for a current, use the right. That question settles it every time, and guessing does not.

- Left hand — motor: field on the forefinger, current on the middle finger, force on the thumb
- Right hand — generator: field on the forefinger, motion on the thumb, induced current on the middle finger
- Name the rule in your answer before giving the direction. "By Fleming's left-hand rule" carries a mark of its own
- Keep the three fingers genuinely perpendicular when you use the rule — a sloppy hand gives a wrong answer
- The force is zero when the conductor is parallel to the field, whatever the current
- For the motor, mention the split ring and say what it does: reverses the current every half rotation so the coil keeps turning in the same sense
- For the generator, distinguish the rings: slip rings give alternating current, a split ring gives direct current
- For the earth wire, give the mechanism, not just the word "safety": it is a low-resistance path to the ground that keeps the metal case at earth potential
- Distinguish short circuit from overloading — direct live-neutral contact versus too many appliances

The misconception to name. A stationary magnet inside a coil does not induce a current, however strong it is. Induction needs a change in the field through the coil, which is why the galvanometer reads zero while the magnet is held still and swings the other way when it is pulled out.

A second trap. The commutator is not what makes the coil turn — the forces from the left-hand rule make it turn. The commutator only keeps it turning the same way past the half-rotation point. Saying the split ring produces the rotation is a marked error.
Did you know

Why can the same machine be both a motor and a generator?

Look at the two devices side by side and the resemblance is uncomfortable. A motor is a coil, a magnet, a shaft and a set of contacts. A generator is a coil, a magnet, a shaft and a set of contacts. The parts list is identical; only what you supply is different.

Supply electricity and you get rotation; supply rotation and you get electricity. A machine built as one can usually be used as the other, and the sign of that symmetry is the pair of Fleming rules — one hand for each direction of the conversion, with the same three quantities on the same three fingers.

You can watch the second effect happen in a running motor. As the coil of an electrical motor spins, it is a conductor moving in a magnetic field, so a current is induced in it as well — and the induced current opposes the one you supplied. That is why a motor draws a large current at the instant of starting, when it is not yet spinning and nothing is opposing the supply, and a smaller current once it is up to speed. The surge you see when a fridge compressor starts is that effect.

And this is why the direction of the induced current is not a matter of choice. The induced effect always opposes the change that caused it. Push the north pole of a magnet toward a coil and the near face of the coil becomes a north pole, resisting the approach. Pull the magnet away and the near face becomes a south pole, resisting the departure. Either way you must do work against the opposition, and that work is exactly where the electrical energy comes from.

So a generator is not free energy, and the reason is clean. The harder the electrical load you connect, the larger the induced current, the stronger the opposition, and the harder the engine or the turbine has to push to keep the coil spinning. Switch on more appliances and the turbine feels it. Energy is conserved, and the opposing direction of the induced current is how conservation shows up in electromagnetism.

One more instance of the same symmetry. A speaker uses a current in a coil sitting in a magnetic field to push a cone back and forth, which is the left-hand rule making sound. A microphone lets sound push a coil back and forth in a magnetic field to produce a current, which is the right-hand rule listening. The same two rules, the same two directions, one pair of devices that are nearly the same object.
Exam relevance

How do motors, induction and domestic circuits appear in JEE and NEET?

This is foundation work for Class 12 Moving Charges and Magnetism, Electromagnetic Induction and Alternating Current, examined heavily in JEE Main, JEE Advanced and NEET.

Where the force on a conductor leads. Class 12 makes it quantitative: the force on a straight conductor of length carrying current at an angle to a field , written as a cross product. Fleming's left-hand rule is the hand geometry of that cross product, and the Class 10 result that the force vanishes when current and field are parallel is exactly the statement that the cross product of parallel vectors is zero.

Where the motor leads. Class 12 derives the torque on a current-carrying loop in a field, defines the magnetic moment, and applies it to the moving-coil galvanometer, its current sensitivity and its voltage sensitivity. Your qualitative reason for the turning effect — opposite forces on opposite arms — is the picture behind that torque formula.

Where induction leads. Class 12 states Faraday's laws and Lenz's law, which is the precise form of the opposition described above, and introduces magnetic flux, motional emf, self and mutual inductance, and the transformer. The three galvanometer observations you learn here — approach, withdraw, hold still — are Faraday's law before it has a formula.

Where the generator leads. Class 12 derives the sinusoidal emf of an alternating-current generator and then builds the whole of alternating-current circuit theory on it: root-mean-square values, reactance, impedance, resonance and power factor. The reason your supply is alternating — low transmission loss — is quantified there through the transformer.

Where the domestic circuit leads. It is largely a Class 10 topic, but the reasoning behind it — parallel wiring, fuse ratings, earthing — appears in assertion-reason items and in NEET questions on electrical safety.

Question types to expect. At this level: direction by either Fleming rule, motor and generator construction and working, the function of the split ring, and the three wires of a domestic circuit. In competitive papers: force and torque calculations, Lenz's law direction problems, flux change numericals, and induced emf in rotating or sliding conductors.

The single trap that costs marks. Using the wrong hand. Left for force from a current, right for current from a motion — and since the two answers are opposite, the error turns a correct method into a wrong direction.

A second trap. Saying a magnetic field induces a current. A changing field induces a current, and a stationary magnet inside a coil induces nothing. Lenz's law at Class 12 is built on the word "changing", so the habit is worth forming now.

Board versus competitive emphasis. The CBSE paper marks the named rule, the labelled diagram and the function of each part; a competitive paper marks the direction and the magnitude of the induced quantity. The transferable habit is identifying the cause, then the change, then the opposition — because that sequence is Lenz's law, and it is already present in the galvanometer experiment you describe here.
Key takeaways

What must you know before the next chapter?

Two hand rules, two machines and three wires.

- A current-carrying conductor in a magnetic field experiences a force, largest when current and field are perpendicular and zero when they are parallel
- Fleming's left-hand rule: forefinger Field, middle finger Current, thumb Thrust — the motor rule
- Fleming's right-hand rule: forefinger Field, thumb Motion, middle finger induced Current — the generator rule
- In a motor, opposite arms of the coil carry current in opposite directions, so the forces are opposite and the coil turns; the split ring reverses the current every half rotation so it keeps turning the same way
- A motor converts electrical energy to mechanical; a generator converts mechanical to electrical
- Induction needs a change: a moving magnet induces a current, a stationary one does not, and reversing the motion reverses the current
- Slip rings give alternating current, a split ring gives direct current; the Indian supply reverses direction every hundredth of a second
- Alternating current is used for transmission because much less energy is lost over long distances
- **Live is red at V, neutral is black at earth potential, earth is green and connected to a buried plate
-
The earth wire keeps a metal case at earth potential by giving fault current a low-resistance path to the ground
-
A fuse is a low-melting-point wire in series with the live wire**, A for lighting and A for power circuits
- Short circuit is live touching neutral; overloading is too many appliances on one circuit

The fastest self-test is a pair of hands and a blank page. Draw a wire between two poles, choose a current direction, and predict which way it jumps; then move a magnet into a coil and predict which way the galvanometer swings — and see whether you reached for the right hand both times.

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