COMMS 4 Flashcards by Arianne Evangelista

Q

R (Parallel)

A

R= 1/(πaδσ_c )

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Q

L (Parallel)

A

L= μ/π ln⁡〖d/a〗

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Q

C (Parallel)

A

C=πϵ/ln⁡〖d/a〗

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Q

G (Parallel)

A

G= σ/cosh^(-1)⁡〖d/2a〗

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Q

σ

A

σ=1/ρ

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Q

δ

A

δ=1/√πfμσ

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Q

R (Coaxial)

A

R= 1/(2πδσ_c ) (1/a+1/b)

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Q

L (Coaxial)

A

L= μ/2π ln⁡〖b/a〗

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Q

C (Coaxial)

A

C=2πϵ/ln⁡〖b/a〗

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Q

G (Coaxial)

A

G= (2σ_c)/cosh^(-1)⁡〖b/a〗
G= 2σ/ln⁡〖b/a〗

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Q

CHARACTERISTICS IMPENDENCE (Z_O)

A

Z_(O=) √(((R+jωL))/((G+jωC) ))

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Q

lossy line

A

Z_(O=) √(R/G)

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Q

lossless line

A

Z_(O=) √(L/C)

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Q

CHARACTERISTICS IMPENDENCE (Z_O) (PARALLEL LINE)

A

Z_(O=) 276/√k log 2S/d

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Q

CHARACTERISTICS IMPENDENCE (Z_O) (COAXIAL CABLE)

A

Z_(O=) 138/√k log D/d

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Q

Attenuation Constant (α)

A

α=R/(2Z_o ),Neper/m or dB/m

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Q

Phase Shift Constant (β)

A

β=ω√LC,Rad/m or Deg/m
β=2π/λ,Rad/m or Deg/m

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Q

Attenuation and Phase Constant

Study These Flashcards

A

γ=α+jβ=√((R+jωL)+(G+jωC) )
where: α is in Neper/Km,β is in Rad/Km

Q

Velocity Propagation (V_p)

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A

V_p=λf
V_p=ω/β=2πf/β
V_p=V_C/√k
V_p=V_c*Vf in or medium

Q

Velocity Factor

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A

Vf=V_P/V_C ;Vf=1/√k

Q

REFLECTION COEFFICIENTS

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A

Γ=e_reflected/e_incident ; Γ=e^-/e^+

Q

Load &Characteristic Impedance (RC)

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A

Γ=(Z_L-Z_O)/(Z_L+Z_O )

Q

Reflected & Incident Power (RC)

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A

Γ=√(P_ref/P_inc )

Q

Reflected & Incident Signal (RC)

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A

Γ=e_ref/e_inc =Γ=I_ref/I_inc

Reflected & Incident Signal (SWR)

SWR=(V_inc+V_ref)/(V_inc-V_ref ) = (I_inc+I_ref)/(I_inc-I_ref )

Transmission Line Voltage Measurement (SWR)

SWR=V_max/V_min =e_max/e_min =I_max/I_min

Load &Characteristic Impedance (sWR)

SWR=Z_L/Z_O ifZ_L>Z_0 SWR=Z_O/Z_L ifZ_O>Z_L

Reflected & Incident Power (SWR)

SWR =(1+√(P_ref/P_inc ))/(1-√(P_ref/P_inc ))

RELATIONSHIP BETWEEN SWR AND Γ (SWR)

SWR =(1+Γ)/(1-Γ)

RELATIONSHIP BETWEEN SWR AND Γ (Γ )

Γ =(SWR-1)/(SWR+ 1)

RETURN LOSS/ REFLECTION LOSS

R_L=1/Γ;R_(L (dB))=-20logΓ

TRANSMISSION LOSS (SWR)

T_LdB=-10log[1-(SWR-1)/(SWR+1)]^2

TRANSMISSION LOSS (Γ)

T_LdB=-10log[1-Γ]^2

TRANSMITTTED POWER

P_abs=P_inc-P_ref P_abs=P_inc (1-Γ^2 )

TIME DELAY

t_d=√LC t_d=1.016√k

PHASE SHIFT

θ=(360t_d)/T T=1/f

CABLE ATTENUATION

attenuation= dB/100ft

INPUT IMPEDANCE

Z_in=Z_o [(Z_L+jZ_o tanβl)/(Z_o+jZ_L tanβl)]

ELECTRICAL LENGTH

βl°=(360°l)/λ;βl_rad=ωl/λ

l=λ/4

Z_in=(Z_o^2)/Z_L ;Z_o=√(Z_in ) Z_L

l=λ/2

Z_in=Z_L

Z_L=∞

Z_in=-jZ_o cotβl

Z_L=0

Z_in=jZ_o tanβl

Z_L=Z_O

Z_in=Z_o