Electromagnetism ยป The Magnetic Field Around a Current

What you'll learn this session

Study time: 30 minutes

Edexcel spec: 6.1, 6.8, 6.10P

  • That an electric current in a wire makes a magnetic field around it
  • How to show this with a compass and what happens when the current is reversed
  • How to draw the field around a straight wire and a flat circular coil (Paper 2 only)
  • The units ampere, volt and watt

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A current makes a magnetic field

So far the magnetic fields in this topic have come from magnets. There is a second way to make a magnetic field: send an electric current through a conductor, such as a copper wire. The moving charge creates a magnetic field in the space around the wire.

You can show this with a simple test. Hold a plotting compass close to a wire, then switch the current on and off.

  1. Set up a circuit with a power supply, a switch and a long straight wire.
  2. Place a plotting compass next to the wire. With the switch open, the needle points north because of the Earth's magnetic field.
  3. Close the switch. The needle moves away from north and turns to line up with the new field.
  4. Open the switch. The needle swings back to north, because the field of the wire has disappeared.
  5. Swap the connections to the power supply so the current flows the other way. The needle now turns the opposite way.

Learn this

A current in a conductor produces a magnetic field around it. No current means no field. Reversing the current reverses the direction of the field.

Keep the switch closed only for a moment. A wire joined straight across a power supply gets warm and drains the cells quickly.

Units reminder

You will meet three units again and again in this topic. You learnt them in Electrical Units and Circuit Symbols, so this is only a reminder.

QuantityUnitSymbol
CurrentampereA
VoltagevoltV
PowerwattW

It is the current, measured in amperes, that makes the magnetic field around a wire.

Paper 2 only: the field around a straight wire

Paper 2 only

Drawing the field patterns in the rest of this lesson (spec 6.10P) is examined in Paper 2 only. Everything above can be examined in Paper 1 and Paper 2.

The field around a long straight wire is made of circles, with the wire at the centre. Picture the wire standing upright through a flat sheet of card. The field lines are rings drawn on the card, all around the wire.

🔄 Shape

Circles that all have the wire at their centre. The lines never cross.

🧭 Spacing

The circles are closer together near the wire, where the field is strong, and further apart away from it, where the field is weaker.

The arrows on the circles show the direction of the field. You work out the direction with the right-hand grip rule.

Key terms:

  • Right-hand grip rule: grip the wire with your right hand so your thumb points in the direction of the current. Your curled fingers then point in the direction of the magnetic field.

How to draw the field of a straight wire

  1. Draw the wire as a small circle in the middle. Use a dot if the current comes out of the page towards you, or a cross if it goes into the page.
  2. Draw at least three circles round the wire, all with the wire at the centre.
  3. Space them closer together near the wire and wider apart further out.
  4. Use the grip rule to find the direction. Add an arrow on each circle. All the arrows go the same way round.

For a current coming out of the page, point your right thumb at yourself. Your fingers curl anticlockwise. For a current going into the page, the arrows are clockwise. Reverse the current and every arrow reverses.

Paper 2 only: the field around a flat circular coil

Now bend the wire into a single flat circle, a coil. Every small piece of the wire still has circular field lines around it. Because the wire is bent, the lines from all the pieces combine.

  1. Draw the coil from the side. You see it as two small circles: one where the current comes out of the page and one where it goes in.
  2. Close to each piece of wire, draw small circles around it, as for a straight wire.
  3. Inside the coil, the field lines from the top and bottom of the wire point the same way, so they join into lines that pass straight through the middle of the coil.
  4. Outside the coil, the lines curve round and come back to the other side, making closed loops.
  5. Add arrows with the grip rule applied to the wire at the top or bottom.

The field is strongest at the centre of the coil, where the lines are closest together. Looked at from one side, if the current goes clockwise round the coil the field goes into the page through the middle. If the current goes anticlockwise, the field comes out of the page through the middle.

Worked example

Worked example

A straight wire carries a current out of the page towards you. State the shape and direction of the field.

Step 1: the field is made of circles, with the wire at the centre.

Step 2: point the right thumb towards you, in the direction of the current.

Step 3: the fingers curl anticlockwise.

Answer: circles with the wire at the centre and the arrows pointing anticlockwise, closer together near the wire.

Common mistakes

Common mistakes

  • Drawing field lines that run along the wire. They go round it.
  • Drawing circles with equal gaps. They must be closer near the wire.
  • Using the left hand for the grip rule. Always use the right hand.
  • Forgetting the arrows. A field pattern without arrows loses a mark.
  • Thinking the field stays when the current stops. No current means no field.

Exam-style question

A student places a plotting compass next to a straight wire and switches on a current.

(a) State what happens to the compass needle. [1 mark]

(b) The current is now reversed. State what happens to the field. [1 mark]

(c) The wire carries a current into the page. Describe how to draw the field pattern. [3 marks] (Part (c) is Paper 2 only.)

Model answer

(a) The needle moves (turns) away from its original direction. (1)

(b) The direction of the field is reversed. (1)

(c) Draw circles with the wire at the centre. (1) Space them closer together near the wire. (1) Add arrows that go clockwise, using the right-hand grip rule with the thumb pointing into the page. (1)

Exam tip

In a drawing question, check you have the centre, the spacing and the arrows. Each one usually earns its own mark.

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