Relationships and Equations

Question 1

How are period and frequency related?

Answer 1

Inversely related/reciprocal. As frequency increases, period decreases.

Question 2

How are amplitude and power related?

Answer 2

Power is proportional to the wave’s amplitude squared

Question 3

How is intensity related to power?

Answer 3

Directly related. When a wave’s power is doubled, the intensity is doubled.

Question 4

How is intensity related to amplitude?

Answer 4

Intensity is proportional to the wave’s amplitude squared

Question 5

How are wavelength and frequency related?

Answer 5

Inversely related. As frequency increases, wavelength decreases.

Question 6

How are stiffness and speed related?

Answer 6

Directly related. As materials become stiffer, the speed of sound in the material increases.

Question 7

How is density related to speed?

Answer 7

Inversely related. As materials become more dense, the speed of sound in the material decreases.

Question 8

How is spatial pulse length related to the number of cycles in the pulse?

Answer 8

Directly related

Question 9

How is spatial pulse length related to the wavelength

Answer 9

Directly related

Question 10

How is spatial pulse length related to frequency?

Answer 10

Inversely related

Question 11

How are pulse repetition period and depth of view related?

Answer 11

Directly related. As depth of view increases, pulse repetition period increases.

Question 12

How are pulse repetition frequency and depth of view related?

Answer 12

Inversely related. As depth of view increases, pulse repetition frequency decreases.

Question 13

How are pulse repetition period and pulse repetition frequency related?

Answer 13

Inversely related/reciprocal relationship. The shorter the PRP, the higher the PRF.

Question 14

How is duty factor related to imaging depth?

Answer 14

Inversely related. Duty factor is higher when the system is imaging at shallow depths.

Question 15

Equation for Period

Answer 15

Period (s) = 1 / Frequency

Question 16

Equation for Frequency

Answer 16

Frequency (Hz) = 1 / Period

Question 17

Equation for Power

Answer 17

Power (w) = amplitude^2

Question 18

Equation for Intensity

Answer 18

Intensity (W/cm^2) = power (w) / area(cm^2)

Question 19

Second equation for Intensity

Answer 19

Intensity = amplitude^2

Question 20

Equation for Wavelength

Answer 20

Wavelength (mm) = 1.54 mm/us / frequency(MHz)

Question 21

Equation for Speed

Answer 21

Speed (m/s) = frequency (Hz) x wavelength (m)

Question 22

Equation for Pulse Duration

Answer 22

Pulse duration (us) = #cycles / frequency (MHz)

Question 23

Second equation for Pulse Duration

Answer 23

Pulse duration (us) = #cycles x period (us)

Question 24

Equation for PRP

Answer 24

PRP (s) = 1 / PRF (Hz)

Question 25

Equation for PRF

Answer 25

PRF (Hz) = 1 / PRP (s)

Question 26

Equation for Duty Factor

Answer 26

Duty factor (%) = pulse duration / PRP x 100

Question 27

How are the attenuation coefficient and frequency related?

Answer 27

Directly related

Question 28

Equation for Attenuation Coefficient

Answer 28

Atten Coeff (dB/cm) = frequency (MHz) / 2

Question 29

Equation for Total Attenuation

Answer 29

Total attenuation (dB) = atten coeff (dB/cm) x distance (cm)

Question 30

Equation for Depth

Answer 30

Depth (mm) = 1.54 mm/us x go-return time (us) / 2

Question 31

Equation for PRP in soft tissue

Answer 31

PRP (us) = imaging depth (cm) x 13 us/cm

Question 32

How is PRP related to the maximum imaging depth?

Answer 32

Directly related

Question 33

Equation for PRF in soft tissue

Answer 33

PRF (Hz) = 77,000 cm/s / imaging depth (cm)

Question 34

How is PRF related to the maximum imaging depth?

Answer 34

Inversely related

Question 35

Equation for Quality Factor

Answer 35

Quality Factor = main frequency / bandwidth

Question 36

How is quality factor related to bandwidth?

Answer 36

Inversely related

Question 37

How is quality factor related to pulse length?

Answer 37

Directly related

Question 38

How are PZT thickness and frequency related?

Answer 38

Inversely related

Question 39

How are transducer diameter and focal depth related?

Answer 39

Directly related

Question 40

How are frequency and focal depth related?

Answer 40

Directly related

Question 41

How are crystal diameter and beam divergence related?

Answer 41

Inversely related

Question 42

How are frequency and beam divergence related?

Answer 42

Inversely related