Rs L Rp Suppose you want to make fabrication of a capacitor by technique making a thin layer. The capacitor You can't just do it. It's just a capacitor, but there is other components. Capacitors with capacity C It's modeled as in side image. Inductor L and resistors, R,, Rp What's on this network possibly derived from parasitic inductor, losses, and leakage from material resistance Dielectric used. To prove this model and measure the magnitude, You can measure it using the Impedance Analyzer (IA), That is, by making a Bode plot from such a capacitor. The construction of the IA is shown in the following block diagram, with Z(w)ls the impedance value of the capacitor. you make tsb, namely by varying the frequency of oscillators, so Im 0(@) = tan that obtained impedance Z(@) = VRE²+ Im? impedance of real components and imaginary components. Known resistance, reactance inductive Re with Re and Im It is the and, 1 X = R, X, = joL, X. %3D joC and capacitive reactance is

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Calculate the impedance of the capacitor model as a function of frequency (hint: use XR, XL, and XC in complex number functions)

MCLK
DDS
CORE
DAC
OSCILLATOR
(27 BITS)
ROUT
VOUT
cos
SIN
SCL
PC
INTERFACE
TEMPERATURE
MICROCONTROLLER
SENSOR
SDA
Zw)
IMAGINARY
REGISTER REGISTER
REAL
MAC CORE
RFB
(1024 DFT)
PROGRAMMABLE
MCLK
GAIN AMPLIFIER
WINDOWING
OF DATA
VIN
ADC
(12 BITS)
LPF
VDD/2
Transcribed Image Text:MCLK DDS CORE DAC OSCILLATOR (27 BITS) ROUT VOUT cos SIN SCL PC INTERFACE TEMPERATURE MICROCONTROLLER SENSOR SDA Zw) IMAGINARY REGISTER REGISTER REAL MAC CORE RFB (1024 DFT) PROGRAMMABLE MCLK GAIN AMPLIFIER WINDOWING OF DATA VIN ADC (12 BITS) LPF VDD/2
Rs
L
Rp
Suppose you want to make fabrication of a
capacitor by technique making a thin layer. The capacitor You can't just do it. It's just a capacitor, but
there is other components. Capacitors with capacity C It's modeled as in side image. Inductor L and
resistors, Rg, R, What's on this network possibly derived from parasitic inductor, losses, and
leakage from material resistance Dielectric used. To prove this model and measure the magnitude,
You can measure it using the Impedance Analyzer (IA), That is, by making a Bode plot from such a
capacitor. The construction of the IA is shown in the following block diagram, with Z(w)ls the
impedance value of the capacitor. you make tsb, namely by varying the frequency of oscillators, so
Im
0(@) = tan
that obtained impedance Z(@) = VRE²+ Im?
impedance of real components and imaginary components. Known resistance, reactance inductive
Re
with Re and Im It is the
and,
1
Xg = R, X, = jo, X̟
=
and capacitive reactance is
Transcribed Image Text:Rs L Rp Suppose you want to make fabrication of a capacitor by technique making a thin layer. The capacitor You can't just do it. It's just a capacitor, but there is other components. Capacitors with capacity C It's modeled as in side image. Inductor L and resistors, Rg, R, What's on this network possibly derived from parasitic inductor, losses, and leakage from material resistance Dielectric used. To prove this model and measure the magnitude, You can measure it using the Impedance Analyzer (IA), That is, by making a Bode plot from such a capacitor. The construction of the IA is shown in the following block diagram, with Z(w)ls the impedance value of the capacitor. you make tsb, namely by varying the frequency of oscillators, so Im 0(@) = tan that obtained impedance Z(@) = VRE²+ Im? impedance of real components and imaginary components. Known resistance, reactance inductive Re with Re and Im It is the and, 1 Xg = R, X, = jo, X̟ = and capacitive reactance is
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