Instrumentation CA1 Equations Flashcards
Equation for True Positive Rate
TPR= TP/(TP + FN)
Electric potential at distance R/Coulombs law
Unit
V = Q / 4πε0R
Volts
Potential difference between two charges
V2 (lower) - V1 (higher)
Volts
Electrical potential
Pe = Eh
Volts
Gauss Law
EdA = Q / ε0
Electric Field Force
Unit
F =qE
N/C-1
Work done by a battery
Unit
W = qEd
Joule`
Voltage
Unit
V=IR
Volts
Current
Unit
I = V/R
Amperes
Current in a series with 2 resistors (Ohms Law Series Circuit)
I = V/ (R1 + R2)
Power
Unit
P = VI
Watts
Resistance in parallel circuit with 2 resistors (Ohms Law parallel circuit)
R = (R1R2) / (R1+R2)
Current in parallel circuit with multiple resistors
I = V / (R1R2/R1+R2)
Capacitance
Unit
C=Q/V
Farad (F)
Wavelength
Unit
λ = v/f
Hz
Energy emitted from a photon (2)
E = hv
E = h(c/λ)
Resistance of a capacitor
Unit
Xc = 1/2πfC
Ohm
Impedance (2)
Z = √(R^2 - (Xc - Xl)^2
Z = V/I
Beer Lamberts Law
I = Ioe ^ αCd
Resistance created dur to strain
ΔR/R = Δp/p + ΔL/L - ΔA/A
Poissons ratio
U = (ΔD/D) / (ΔL/L)
Change of resistance in regards to Poisson ratio
ΔR/R= (1+2u) + Δp/p + ΔL/L
Guage
G = (ΔR/R) / (ΔL/L)
Thermal Index
TI = Wp / Wdeg
Defining a AC wave
Asin(2πft)
Circuit gain (simple)
Av = V out / V in
Circuit gain in decibeles
GdB = 20log (V out / V in)
General equation for aplifier
V out = Av Vin
V out in a differential amplifier
V out = Aoa (Vin1-Vin2)
Op am - inverting. V out and Av
V out = -(Rf/Rin)Vin
Av=V out/Vin=-Rf/Rin
Op amp - non inverting. V our and Av
Vout=(1+R2/R1)Vin
Av=Vout/Vin=1+R2/R1
Av in instrumetation amp
Av=Vout/V2-V1
