Class 10 Science Notes
~6 min readThis chapter is the physics of electricity's other face. It begins with magnetic fields and field lines, then builds up from a straight wire to a coil and a solenoid, which behaves like a bar magnet. It moves on to the force on a current-carrying conductor and Fleming's left hand rule, compares direct with alternating current, and closes with the domestic circuit, its fuse and earth wire.
Fleming's left hand rule gives the direction of the force on a current-carrying conductor placed in a magnetic field: stretch the left hand so that the thumb points along the direction of motion, the forefinger along the field from the north pole to the south pole, and the middle finger along the current, and the thumb then gives the direction of the force. For a solenoid, the end from which the current is seen to flow anticlockwise is the north pole, while the end from which it is seen to flow clockwise is the south pole. The field of a solenoid is stronger when it has more turns or a larger current, and inside the coil the field is uniform and directed along the axis.
A magnetic field is the region around a magnet in which a magnetic compass needle shows a deflection, and the direction of the field at any point is taken as the direction in which the north pole of a compass needle points when it is placed there.The field of a bar magnet is represented by a set of imaginary lines called magnetic field lines. These lines never intersect each other, and they are closest together where the field is strongest, which is near the poles, and farthest apart where the field is weak, which is around the middle of the magnet.
How field lines are described
Oersted's observation, made long before the field of a magnet was studied in detail, is that a magnetic compass needle placed near a straight wire deflects whenever a current flows through the wire. This shows that a current produces a magnetic field, just as a magnet does.The field lines around a straight current-carrying conductor are concentric circles centred on the wire, and the plane of each circle is perpendicular to the wire. The strength of the field is greatest close to the wire and decreases as the distance from the wire increases, so the circles get farther apart further from the conductor.
The right-hand thumb rule in words
Bending a straight conductor into a circular coil does not destroy the magnetic field but concentrates it, since the fields produced by the several turns of the coil act together at the centre. The field of a single circular loop is very weak, and it is for this reason that instruments and electromagnets use many turns.A solenoid is a coil of many turns wound closely on a cylindrical core, and it behaves exactly like a bar magnet, with a north pole at one end and a south pole at the other. The field inside a solenoid is nearly uniform and directed along its axis, and the field outside it is the same pattern as that of a bar magnet, so an iron nail placed inside a solenoid becomes magnetised and can pick up pins.
The clock rule is examined every year
A current-carrying conductor placed in a magnetic field experiences a force, and the conductor moves unless the field, the current or the conductor itself is arranged so that no net force acts. The strength of the force increases with the current, with the strength of the magnetic field and with the length of the conductor lying in the field.The direction of this force is fixed by Fleming's left hand rule. Stretch the fingers of the left hand so that the thumb, the forefinger and the middle finger are mutually perpendicular, and the rule names what each of the three corresponds to.
Learn the three-finger order once
Direct current flows in one direction only, and it does so through a cell or a battery, where the positive terminal stays positive and the negative terminal stays negative for as long as the cell lasts. The current it drives is steady and does not reverse.Alternating current reverses its direction periodically, and it is the current supplied to homes through the mains. The supply in India reverses fifty times a second, so the frequency of the mains is 50 hertz, which means fifty cycles each of one-fiftieth of a second. A device that works on alternating current is marked with a tilde or a wave symbol.
The values to memorise
Alternating current is used for transmission and in the home mainly because its voltage can be changed easily with a transformer, while the voltage of direct current cannot. A transformer works only on alternating current, and it can raise the voltage for transmission and lower it again for use.Sending power at a high voltage greatly reduces the current for the same power, since power equals potential difference multiplied by current, and a smaller current means less heat is produced in the transmission wires. Less heat means less energy wasted, so the step-up and step-down of voltage is the whole reason the supply to homes is alternating current.
Chain the two ideas in the answer
Electricity is brought into a house through three wires carried on a three-pin plug, the live wire, the neutral wire and the earth wire. The live wire is at a high potential difference above the earth, the neutral wire completes the circuit at almost zero potential difference, and the earth wire is connected to a metal plate buried in the ground.A high-tension line is dangerous because the potential difference between it and the earth is very large, and a person touching both at the same time completes a circuit through their own body. Domestic safety therefore depends on the fuse in the live wire and on the earth wire, and both are asked by name.
Where the earth wire earns its mark
Quick Revision
Memorise these equations — direct application numericals and derivations in CBSE & JEE frequently hinge on these.
Field of a straight conductor
The magnetic field around a straight wire weakens as the distance r from the wire increases.
Field of a solenoid
The field inside is proportional to the number of turns n and to the current I, and it is nearly uniform.
Fleming's left hand rule
F is the force or motion, B the field from north to south, and I the current in the conductor.
Frequency of a.c.
The mains in India reverses fifty times a second, so one full cycle lasts two hundredths of a second.
Direct and alternating current
A cell gives direct current, and the supply to homes is alternating current.
Why a.c. is stepped up
A higher voltage means a lower current for the same power, and a lower current means less heat in the transmission wires.
Exam Strategy
High-yield question patterns observed across CBSE boards, JEE Main & Advanced, and NEET.
FAQ
Whenever a current flows through a straight conductor, a magnetic field is set up all around it, and the field lines are concentric circles whose centres lie on the wire. Oersted's observation was the first evidence of this, since a compass needle placed near the wire deflects as soon as the current is switched on. The field is strongest at the surface of the wire and becomes weaker as the distance from the wire increases. The direction of the field is given by the right-hand thumb rule, and reversing the current reverses every field line.
A solenoid is a coil of insulated wire wound closely in many turns over a cylindrical core, and the fields of the individual turns add together to give a strong field along the axis. Outside the coil that field has exactly the pattern of a bar magnet, with a north pole at one end and a south pole at the other, and the field inside is nearly uniform. The two ends are identified by looking at the face of the coil, where anticlockwise current marks the north pole and clockwise current marks the south pole. The field becomes stronger if the number of turns or the current is increased.
Fleming's left hand rule gives the direction of the force on a current-carrying conductor placed in a magnetic field. The hand is stretched so that the thumb, the forefinger and the middle finger are mutually perpendicular. The thumb is pointed along the direction in which the conductor moves and therefore gives the direction of the force. The forefinger is pointed along the magnetic field from the north pole to the south pole, and the middle finger is pointed along the direction of the current in the conductor.
Direct current flows in one direction only, and it is obtained from a cell or a battery, so the current through a circuit is steady. Alternating current reverses its direction periodically, and the supply to homes is of this kind. The frequency of the alternating mains in India is 50 hertz, which means fifty complete cycles every second, so one cycle lasts 0.02 second. Appliances are marked with a straight line for direct current and with a tilde for alternating current. Both kinds produce a magnetic field, because a magnetic field depends on a current and not on whether its direction is fixed.
The main reason is that a transformer can change the voltage of an alternating current easily, and a transformer cannot be used on direct current. The voltage can be stepped up at the generating station for transmission and then stepped down again before reaching the consumer. For the same power, since P equals VI, a higher voltage means a lower current in the transmission wires. The heat produced in those wires is I squared multiplied by R, so a lower current means far less energy is wasted, and that is what makes long-distance transmission economical. The whole argument is the reason the supply to homes is alternating current.
The live wire carries the current to the appliance at high potential difference above the earth, and the neutral wire carries it back at almost zero potential difference to complete the circuit. The earth wire is connected to a metal plate in the ground and provides a low-resistance path, so in a leakage the current flows through it instead of through a person, the fuse wire melts and the supply is cut off. The two faults that cause this are overloading, when too many appliances are run on one circuit, and a short circuit, when the live and neutral wires touch. A high-tension line is dangerous because its potential difference above the earth is very large.
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