Microphones and the generator effect
Moving-coil microphone
A moving-coil microphone is a device that uses the generator effect to convert the pressure variations of a sound wave into a varying potential difference.
Generator effect
The generator effect is the induction of a potential difference in a conductor when there is relative movement between the conductor and a magnetic field.
- A moving-coil microphone has a thin flexible diaphragm fixed to a light coil of wire, and the coil sits in the field of a permanent magnet.
- A sound wave arriving at the diaphragm is a series of compressions, where the air pressure is above normal, and rarefactions, where it is below normal.
- The changing air pressure pushes the diaphragm inwards during a compression and lets it spring outwards during a rarefaction, so the diaphragm vibrates at the frequency of the sound.
- The coil is attached to the diaphragm, so the coil vibrates with it and moves back and forth inside the magnetic field.
- The moving coil changes the magnetic field passing through itself, so a potential difference is induced across the coil by the generator effect.
- The coil moves one way during a compression and the opposite way during a rarefaction, so the induced potential difference reverses each half cycle and the output is an alternating signal.
- A louder sound carries a larger pressure variation, which pushes the diaphragm further and faster, so the coil moves faster and the amplitude of the induced potential difference is larger.
- A higher-pitched sound vibrates the diaphragm more times each second, so the frequency of the electrical signal is higher.
- The signal therefore has the same frequency as the sound wave and an amplitude that follows its loudness, which is what makes it an accurate electrical copy of the sound.
Loudspeakers and the motor effect
Loudspeaker
A loudspeaker is a device that uses the motor effect to convert a varying electrical signal into a sound wave.
Motor effect
The motor effect is the force experienced by a current-carrying conductor when it is placed in a magnetic field that is not parallel to the current.
- A loudspeaker has a coil wound around one pole of a permanent magnet, and the coil is fixed to a stiff paper or plastic cone.
- An alternating current from an amplifier is passed through the coil, so the coil becomes a current-carrying conductor sitting in a magnetic field.
- A current-carrying conductor in a magnetic field experiences a force, so the coil is pushed along the axis of the magnet.
- The direction of the force reverses whenever the direction of the current reverses, so the coil is pushed outwards and then pulled inwards, once for each cycle of the current.
- The cone moves with the coil and pushes on the air in front of it, creating a compression as it moves out and a rarefaction as it moves back, and these travel outwards as a sound wave.
- A larger current amplitude produces a larger force, a larger cone movement and therefore a louder sound.
- A higher current frequency makes the cone vibrate more times each second, giving a higher-pitched sound of the same frequency as the current.
- Fleming's left-hand rule gives the direction of the force on the coil at any instant from the directions of the current and the field.
Comparing the two devices
- Effect used: a microphone works by the generator effect, in which movement induces a potential difference, and a loudspeaker works by the motor effect, in which a current produces a force.
- Direction of energy transfer: a microphone transfers energy from a sound wave to an electrical circuit, and a loudspeaker transfers energy from an electrical circuit to a sound wave.
- Input and output: the sound wave is the input to a microphone and the output from a loudspeaker.
- Shared parts: both devices contain a coil, a permanent magnet and a movable surface, so the two are close to being the same device operated in opposite directions.
- Signal matching: in both devices the frequency of the electrical signal equals the frequency of the sound, and the amplitude of the signal corresponds to the loudness.
- A small loudspeaker will in fact act as a rough microphone if sound is directed at its cone, because the moving coil then induces a potential difference.
Following a signal from voice to speaker
- Someone speaks into a microphone, and the pressure variations of their voice make the diaphragm and its attached coil vibrate at about 200 Hz200\ \text{Hz}200 Hz.
- The vibrating coil induces an alternating potential difference of a few millivolts at 200 Hz200\ \text{Hz}200 Hz across its ends.
- An amplifier increases the amplitude of this signal without changing its frequency, drawing the extra energy from its own power supply.
- The amplified alternating current is passed through the coil of a loudspeaker, where the coil experiences a force that reverses 200200200 times each second.
- The cone vibrates at 200 Hz200\ \text{Hz}200 Hz and pushes on the air, producing a sound wave of the same frequency as the original voice.
- Speaking more loudly raises the amplitude at every stage, so the cone moves further and the sound produced is louder while the pitch stays the same.
Explaining a sound device
- Name the effect at the start of the answer, generator effect for a microphone and motor effect for a loudspeaker, because the examiner is looking for that term.
- Build the answer as an unbroken chain, from sound wave to diaphragm to coil to induced potential difference, or from current to force to cone to sound wave.
- Link loudness to amplitude and pitch to frequency explicitly, rather than writing that the signal matches the sound.
- When the question gives a mark tariff of six, write the chain in order and include one sentence on why the signal reverses direction each half cycle.
- Use potential difference for the microphone output and current for the loudspeaker input, since swapping them loses the mark.
- Do not say that a microphone uses the motor effect, because in a microphone the movement comes first and the potential difference is induced by it.
- Do not write that the coil in a loudspeaker moves because the magnet moves, since the magnet is fixed and the coil is pushed by the force on the current.
- Do not confuse the amplitude of the signal with its frequency when explaining loudness and pitch.
- Do not claim that a loudspeaker needs a direct current, because a steady current would hold the cone in one position and produce no sound.
- Do not describe the diaphragm as being pulled by the sound wave, since a compression pushes it inwards and a rarefaction lets it move back out.
- Describe how a moving-coil microphone converts a sound wave into an electrical signal.
- Explain why the output of a microphone is an alternating potential difference rather than a direct one.
- Describe how the coil and cone of a loudspeaker produce a sound wave from an alternating current.
- State what happens to the sound from a loudspeaker when the amplitude of the current is increased.
- State which effect each device uses and give the direction of energy transfer in each.