understand that a piezo-electric crystal changes shape when a p.d. is applied across it and that the crystal generates an e.m.f. when its shape changes

📣 Production and Use of Ultrasound

🔍 What is Ultrasound?

Ultrasound is sound waves with frequencies above the human hearing range (above 20 kHz). Think of it as a super‑fast whisper that can travel through solids, liquids, and gases.

🧩 The Piezo‑Electric Effect

⚙️ How a Piezo‑Crystal Works

When an electric field is applied across a piezo‑electric crystal, its internal lattice distorts, causing the crystal to change shape. Conversely, when the crystal is mechanically deformed, it generates an electric voltage.

  • 🔌 Applied voltage → Mechanical strain
  • 🛠️ Mechanical strain → Voltage (emf)

Analogy: Imagine a rubber band that stretches when you pull on it. If the band is made of a special material, pulling it will also create a tiny electric charge.

🔊 Generating Ultrasound

🛠️ Piezo‑Crystal as a Transducer

The crystal is connected to an alternating voltage source. As the voltage oscillates, the crystal vibrates at the same frequency, producing sound waves.

  1. Apply a sinusoidal voltage: \$V(t)=V_0\sin(\omega t)\$
  2. Crystal expands and contracts with period \$T=2\pi/\omega\$
  3. Mechanical vibrations propagate through the medium as ultrasound waves.

Tip: The frequency of the ultrasound is set by the driving voltage, not by the crystal itself.

📡 Detecting Ultrasound

🔍 How the Crystal Detects Sound

When ultrasound waves hit the crystal, they cause it to deform. This deformation induces a voltage across the crystal:

\$V_{\text{induced}} = d \cdot F\$

where \$d\$ is the piezoelectric coefficient and \$F\$ is the applied force from the sound wave.

Analogy: Think of the crystal as a tiny microphone that turns vibrations into electrical signals.

🛠️ Applications of Ultrasound

🏥 Medical Imaging

Ultrasound waves create images of internal organs. The reflected waves are detected by the same piezo‑crystal transducer.

🛠️ Industrial Testing

Ultrasound checks for cracks or defects in materials by measuring reflected wave patterns.

🚗 Automotive Sensors

Used in parking sensors to detect obstacles by sending and receiving ultrasonic pulses.

📚 Examination Tips

📝 Key Points to Remember

  • Piezo‑electric crystals change shape when voltage is applied.
  • Mechanical deformation of a crystal generates a voltage.
  • Ultrasound frequency is set by the driving voltage.
  • Applications often use the same crystal for both generation and detection.

💡 Sample Exam Question

“Explain how a piezo‑electric crystal can be used to both generate and detect ultrasound waves. Include a diagram of the process (you can describe it in words).”

Answer tip: Describe the crystal as a transducer, mention the alternating voltage, the resulting vibration, the propagation of sound, and the induced voltage from reflected waves.