Instrumentation CA1 Equations

Question 1

Equation for True Positive Rate

Answer 1

TPR= TP/(TP + FN)

Question 2

Electric potential at distance R/Coulombs law

Unit

Answer 2

V = Q / 4πε0R

Volts

Question 3

Potential difference between two charges

Answer 3

V2 (lower) - V1 (higher)

Volts

Question 4

Electrical potential

Answer 4

Pe = Eh

Volts

Question 5

Gauss Law

Answer 5

EdA = Q / ε0

Question 6

Electric Field Force

Unit

Answer 6

F =qE

N/C-1

Question 7

Work done by a battery

Unit

Answer 7

W = qEd

Joule`

Question 8

Voltage

Unit

Answer 8

V=IR

Volts

Question 9

Current

Unit

Answer 9

I = V/R

Amperes

Question 10

Current in a series with 2 resistors (Ohms Law Series Circuit)

Answer 10

I = V/ (R1 + R2)

Question 11

Power

Unit

Answer 11

P = VI

Watts

Question 12

Resistance in parallel circuit with 2 resistors (Ohms Law parallel circuit)

Answer 12

R = (R1R2) / (R1+R2)

Question 13

Current in parallel circuit with multiple resistors

Answer 13

I = V / (R1R2/R1+R2)

Question 14

Capacitance

Unit

Answer 14

C=Q/V

Farad (F)

Question 15

Wavelength

Unit

Answer 15

λ = v/f

Hz

Question 16

Energy emitted from a photon (2)

Answer 16

E = hv
E = h(c/λ)

Question 17

Resistance of a capacitor

Unit

Answer 17

Xc = 1/2πfC

Ohm

Question 18

Impedance (2)

Answer 18

Z = √(R^2 - (Xc - Xl)^2

Z = V/I

Question 19

Beer Lamberts Law

Answer 19

I = Ioe ^ αCd

Question 20

Resistance created dur to strain

Answer 20

ΔR/R = Δp/p + ΔL/L - ΔA/A

Question 21

Poissons ratio

Answer 21

U = (ΔD/D) / (ΔL/L)

Question 22

Change of resistance in regards to Poisson ratio

Answer 22

ΔR/R= (1+2u) + Δp/p + ΔL/L

Question 23

Guage

Answer 23

G = (ΔR/R) / (ΔL/L)

Question 24

Thermal Index

Answer 24

TI = Wp / Wdeg

Question 25

Defining a AC wave

Answer 25

Asin(2πft)

Question 26

Circuit gain (simple)

Answer 26

Av = V out / V in

Question 27

Circuit gain in decibeles

Answer 27

GdB = 20log (V out / V in)

Question 28

General equation for aplifier

Answer 28

V out = Av Vin

Question 29

V out in a differential amplifier

Answer 29

V out = Aoa (Vin1-Vin2)

Question 30

Op am - inverting. V out and Av

Answer 30

V out = -(Rf/Rin)Vin

Av=V out/Vin=-Rf/Rin

Question 31

Op amp - non inverting. V our and Av

Answer 31

Vout=(1+R2/R1)Vin

Av=Vout/Vin=1+R2/R1

Question 32

Av in instrumetation amp

Answer 32

Av=Vout/V2-V1