Magnetic Effects of Electric Current • Topic 1 of 3

Magnetic Field due to Electric Current

What is a magnet? A magnet is a material that attracts iron, cobalt and nickel, and that always points in the north-south direction when suspended freely. Every magnet has two poles: a north pole (N) and a south pole (S). Like poles repel, unlike poles attract. You can never isolate a single pole — break a magnet and each piece becomes a complete magnet with its own N and S.

Magnetic field and field lines. The region around a magnet where its force can be detected is called the magnetic field. We picture it using magnetic field lines, drawn with a small compass. Their key properties are:

  • Field lines emerge from the north pole and merge into the south pole outside the magnet (inside they run S to N, forming closed loops).
  • They are closer together where the field is strong (near the poles) and farther apart where it is weak.
  • No two field lines ever cross — if they did, the compass would point in two directions at one place, which is impossible.
  • The tangent to a field line at any point gives the direction of the field there.

Oersted's discovery (1820). Hans Christian Oersted noticed that a compass needle placed near a current-carrying wire deflects. When the current was switched off, the needle returned to north-south. This proved that electricity and magnetism are linked — a current produces a magnetic field around it. Reversing the current reverses the deflection.

Field due to a straight conductor. Around a long straight wire the field lines are concentric circles centred on the wire. The field is stronger near the wire and weaker farther away (it weakens with distance). Its strength increases if the current increases.

Right-Hand Thumb Rule. If you hold the wire in your right hand so the thumb points along the current, the curled fingers show the direction of the field (the circular field lines). This is also called Maxwell's corkscrew rule.

Field due to a circular loop. At every point of a current loop the small circular fields add up. At the centre of the loop the field is nearly straight and perpendicular to the plane of the loop. A loop with n turns gives a field n times stronger because each turn contributes in the same direction.

Solenoid and electromagnet. A solenoid is a long coil of many circular turns. Its field is like that of a bar magnet — uniform and parallel inside, with a clear N and S end. Placing a soft-iron core inside makes a strong electromagnet whose strength can be controlled by the current and switched on or off.

Concentric magnetic field lines around a straight wire with right-hand thumb ruleCurrent I (up)Field lines(concentric circles)Right-hand thumb:thumb = current,fingers = field
1
Worked Example
State Oersted's observation and what it proved.
Solution
  1. Step 1: A compass needle was placed near a wire carrying no current — it pointed north-south.
  2. Step 2: When current was passed through the wire, the needle deflected from its rest position.
  3. Step 3: Switching the current off returned the needle to north-south; reversing the current reversed the deflection.
  4. Step 4: This shows a current-carrying conductor produces a magnetic field around it.

Answer: Oersted showed that an electric current produces a magnetic field, linking electricity and magnetism.

2
Worked Example
A straight wire carries current vertically upward. Use the right-hand thumb rule to find the field direction on the east side of the wire.
Solution
  1. Step 1: Point the right thumb upward, along the current.
  2. Step 2: The curled fingers give the direction of the circular field lines — anticlockwise when viewed from above.
  3. Step 3: On the east side, the curling fingers point toward the north.

Answer: The magnetic field points towards the north on the east side of the wire.

3
Worked Example
Why do two magnetic field lines never intersect each other?
Solution
  1. Step 1: The tangent to a field line gives the direction of the field at that point.
  2. Step 2: If two lines crossed, there would be two tangents — two field directions — at the crossing point.
  3. Step 3: A compass placed there cannot point in two directions at once.

Answer: Because the field can have only one direction at a point, field lines never cross.

4
Worked Example
How does the magnetic field at the centre of a circular coil change if (a) the current is doubled, (b) the number of turns is doubled?
Solution
  1. Step 1: The field at the centre is proportional to the current I.
  2. Step 2: Doubling I doubles the field.
  3. Step 3: The field is also proportional to the number of turns n, since each turn adds field in the same direction.
  4. Step 4: Doubling n doubles the field.

Answer: (a) Field doubles; (b) Field doubles.

5
Worked Example
Compare the magnetic field pattern of a current-carrying solenoid with that of a bar magnet.
Solution
  1. Step 1: Inside a solenoid the field is uniform and parallel — the same as inside a bar magnet.
  2. Step 2: Outside, the field lines emerge from one end (N) and enter the other end (S), exactly like a bar magnet.
  3. Step 3: One end of the solenoid behaves as a north pole and the other as a south pole.

Answer: A current-carrying solenoid produces a magnetic field identical in pattern to that of a bar magnet.

6
Worked Example
Why is soft iron preferred over steel as the core of an electromagnet?
Solution
  1. Step 1: An electromagnet should be strongly magnetised only while current flows.
  2. Step 2: Soft iron gains strong magnetism quickly and loses it the moment the current is switched off (temporary magnet).
  3. Step 3: Steel retains magnetism even after the current stops, so it cannot be switched off — it makes a permanent magnet.

Answer: Soft iron is used because it is easily magnetised and demagnetised, giving a controllable electromagnet.

Key Points

  • A current-carrying conductor produces a magnetic field around it (Oersted).
  • Field lines run from N to S outside a magnet, are closer where the field is strong, and never cross.
  • Around a straight wire the field lines are concentric circles; field direction is given by the right-hand thumb rule.
  • At the centre of a circular loop the field is strongest and increases with current and number of turns.
  • A solenoid behaves like a bar magnet; a soft-iron core makes a strong, switchable electromagnet.
Tap an option to check your answer0 / 4
Q1.Oersted's experiment demonstrated that:
Explanation: A compass near a current-carrying wire deflects, showing the current creates a magnetic field.
Q2.The magnetic field lines around a straight current-carrying wire are:
Explanation: They form concentric circles centred on the wire.
Q3.In the right-hand thumb rule, the curled fingers represent:
Explanation: Thumb points along the current and the fingers show the field direction.
Q4.The field of a current-carrying solenoid resembles that of:
Explanation: A solenoid has a uniform internal field with N and S ends, like a bar magnet.