Deck 4: Data Analysis Equivalent Electrical Circuits

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Question
For the following circuit, determine the impedance at a frequency of 0.1 Hz. ZRe = __________ Ω\Omega and ZIm = ____________ Ω\Omega
 For the following circuit, determine the impedance at a frequency of 0.1 Hz. Z<sub>Re</sub> = __________  \Omega  and Z<sub>Im</sub> = ____________  \Omega   <div style=padding-top: 35px>
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Question
For the following circuit, determine the impedance at a frequency of 1 Hz. ZRe = __________ Ω\Omega and ZIm = ____________ Ω\Omega
 For the following circuit, determine the impedance at a frequency of 1 Hz. Z<sub>Re</sub> = __________  \Omega  and Z<sub>Im</sub> = ____________  \Omega   <div style=padding-top: 35px>
Question
Charge transfer resistance is the value of faradaic impedance at _____

A) infinite frequency
B) zero frequency
C) open circuit potential
D) large dc bias
Question
An impedance spectrum of an electrochemical system can be modeled using the following circuit. Then , Rt = _________ Ω\Omega and Rp = ________ Ω\Omega
 An impedance spectrum of an electrochemical system can be modeled using the following circuit. Then , R<sub>t</sub> = _________  \Omega  and R<sub>p</sub> = ________  \Omega   <div style=padding-top: 35px>
Question
An impedance spectrum of an electrochemical system can be modeled using the following circuit. Then , Rt = _________ Ω\Omega and Rp = ________ Ω\Omega
 An impedance spectrum of an electrochemical system can be modeled using the following circuit. Then , R<sub>t</sub> = _________  \Omega  and R<sub>p</sub> = ________  \Omega   <div style=padding-top: 35px>
Question
An impedance spectrum of an electrochemical system can be modeled using the following circuit. Then , Rt = _________ Ω\Omega and Rp = ________ Ω\Omega
 An impedance spectrum of an electrochemical system can be modeled using the following circuit. Then , R<sub>t</sub> = _________  \Omega  and R<sub>p</sub> = ________  \Omega   <div style=padding-top: 35px>
Question
An impedance spectrum of a system is given below. The polarization resistance is _____ Ω\Omega
 An impedance spectrum of a system is given below. The polarization resistance is _____  \Omega   <div style=padding-top: 35px>
Question
From Bode plot, estimate charge transfer resistance _______ Ω\Omega and polarization resistance ___________ Ω\Omega
 From Bode plot, estimate charge transfer resistance _______  \Omega  and polarization resistance ___________  \Omega     <div style=padding-top: 35px>
 From Bode plot, estimate charge transfer resistance _______  \Omega  and polarization resistance ___________  \Omega     <div style=padding-top: 35px>
Question
An impedance spectrum of a system is given below. The charge transfer resistance is _____ Ω\Omega
 An impedance spectrum of a system is given below. The charge transfer resistance is _____  \Omega   <div style=padding-top: 35px>
Question
An impedance spectrum of a system is given below. The charge transfer resistance is _____ Ω\Omega and polarization resistance is _____ Ω\Omega
 An impedance spectrum of a system is given below. The charge transfer resistance is _____  \Omega  and polarization resistance is _____  \Omega     <div style=padding-top: 35px>
 An impedance spectrum of a system is given below. The charge transfer resistance is _____  \Omega  and polarization resistance is _____  \Omega     <div style=padding-top: 35px>
Question
An impedance spectrum of a complex reaction is acquired at open circuit potential. The real part of the impedance can exhibit negative differential resistance..
Question
The type of circuit given below is known as <strong>The type of circuit given below is known as  </strong> A) Maxwell circuit B) Ladder circuit C) Voigt circuit D) Randel's circuit <div style=padding-top: 35px>

A) Maxwell circuit
B) Ladder circuit
C) Voigt circuit
D) Randel's circuit
Question
The type of circuit given below is known as <strong>The type of circuit given below is known as  </strong> A) Maxwell circuit B) Ladder circuit C) Voigt circuit D) Randel's circuit <div style=padding-top: 35px>

A) Maxwell circuit
B) Ladder circuit
C) Voigt circuit
D) Randel's circuit
Question
When multiple circuits are evaluated to model a data, the best fit model should be selected based on

A) least number of parameters
B) least residual sum squared
C) least residual sum
D) Akaike information criterion
Question
An impedance spectrum containing 80 data points was fitted with different circuit models. The number of adjustable parameters in each model and the residual sum squared errors are listed below.  Model  Number of  Parameters  RSS  Model-1 3200 Model-2 5150 Model-3 8110 Model-4 12105\begin{array} { | l | l | l | } \hline \text { Model } & \begin{array} { l } \text { Number of } \\\text { Parameters }\end{array} & \text { RSS } \\\hline \text { Model-1 } & 3 & 200 \\\hline \text { Model-2 } & 5 & 150 \\\hline \text { Model-3 } & 8 & 110 \\\hline \text { Model-4 } & 12 & 105 \\\hline\end{array}
The best-suited model should be chosen based on the least value of

A) RSS
B) Akaike Information criterion (AIC)
C) corrected AIC
D) none of the above
Question
The following two circuits are equivalent. The values of R1 and R2 are (i) R1 = __________ Ω\Omega (ii) R2 = ________________ Ω\Omega
 The following two circuits are equivalent. The values of R<sub>1</sub> and R<sub>2</sub> are (i) R<sub>1</sub> = __________  \Omega  (ii) R<sub>2</sub> = ________________ \Omega     <div style=padding-top: 35px>
 The following two circuits are equivalent. The values of R<sub>1</sub> and R<sub>2</sub> are (i) R<sub>1</sub> = __________  \Omega  (ii) R<sub>2</sub> = ________________ \Omega     <div style=padding-top: 35px>
Question
The following two circuits are equivalent. The values of R1 and R2 are (i) R1 = __________ Ω\Omega (ii) R2 = ________________ Ω\Omega
 The following two circuits are equivalent. The values of R<sub>1</sub> and R<sub>2</sub> are (i) R<sub>1</sub> = __________  \Omega  (ii) R<sub>2</sub> = ________________ \Omega     <div style=padding-top: 35px>
 The following two circuits are equivalent. The values of R<sub>1</sub> and R<sub>2</sub> are (i) R<sub>1</sub> = __________  \Omega  (ii) R<sub>2</sub> = ________________ \Omega     <div style=padding-top: 35px>
Question
The following circuit can model an impedance spectrum perfectly.
<strong>The following circuit can model an impedance spectrum perfectly.   Which other circuits can model the data equally well?   (Circuit-1)   (Circuit-2)</strong> A) only Circuit-1 B) only Circuit-2 C) both Circuit-1 and Circuit-2 D) neither Circuit-2 nor Circuit-2 <div style=padding-top: 35px>
Which other circuits can model the data equally well?
<strong>The following circuit can model an impedance spectrum perfectly.   Which other circuits can model the data equally well?   (Circuit-1)   (Circuit-2)</strong> A) only Circuit-1 B) only Circuit-2 C) both Circuit-1 and Circuit-2 D) neither Circuit-2 nor Circuit-2 <div style=padding-top: 35px> (Circuit-1)
<strong>The following circuit can model an impedance spectrum perfectly.   Which other circuits can model the data equally well?   (Circuit-1)   (Circuit-2)</strong> A) only Circuit-1 B) only Circuit-2 C) both Circuit-1 and Circuit-2 D) neither Circuit-2 nor Circuit-2 <div style=padding-top: 35px>
(Circuit-2)

A) only Circuit-1
B) only Circuit-2
C) both Circuit-1 and Circuit-2
D) neither Circuit-2 nor Circuit-2
Question
The following circuit can model an impedance spectrum perfectly. <strong>The following circuit can model an impedance spectrum perfectly.   Which other circuits can model the data equally well?   (Circuit-1)   (Circuit-2)</strong> A) only Circuit-1 B) only Circuit-2 C) both Circuit-1 and Circuit-2 D) neither Circuit-2 nor Circuit-2 <div style=padding-top: 35px>
Which other circuits can model the data equally well?
<strong>The following circuit can model an impedance spectrum perfectly.   Which other circuits can model the data equally well?   (Circuit-1)   (Circuit-2)</strong> A) only Circuit-1 B) only Circuit-2 C) both Circuit-1 and Circuit-2 D) neither Circuit-2 nor Circuit-2 <div style=padding-top: 35px> (Circuit-1)
<strong>The following circuit can model an impedance spectrum perfectly.   Which other circuits can model the data equally well?   (Circuit-1)   (Circuit-2)</strong> A) only Circuit-1 B) only Circuit-2 C) both Circuit-1 and Circuit-2 D) neither Circuit-2 nor Circuit-2 <div style=padding-top: 35px> (Circuit-2)

A) only Circuit-1
B) only Circuit-2
C) both Circuit-1 and Circuit-2
D) neither Circuit-2 nor Circuit-2
Question
The following impedance spectrum is to be modeled.
<strong>The following impedance spectrum is to be modeled.   Among the following circuit choices, which one can be used to model the data?</strong> A)   B)   C)   D) none of the above <div style=padding-top: 35px>
Among the following circuit choices, which one can be used to model the data?

A) <strong>The following impedance spectrum is to be modeled.   Among the following circuit choices, which one can be used to model the data?</strong> A)   B)   C)   D) none of the above <div style=padding-top: 35px>
B) <strong>The following impedance spectrum is to be modeled.   Among the following circuit choices, which one can be used to model the data?</strong> A)   B)   C)   D) none of the above <div style=padding-top: 35px>
C) <strong>The following impedance spectrum is to be modeled.   Among the following circuit choices, which one can be used to model the data?</strong> A)   B)   C)   D) none of the above <div style=padding-top: 35px>
D) none of the above
Question
The following impedance spectrum is to be modeled.
<strong>The following impedance spectrum is to be modeled.   Among the following circuit choices, which one can be used to model the data?</strong> A)   B)   C)   D) none of the above <div style=padding-top: 35px>
Among the following circuit choices, which one can be used to model the data?

A) <strong>The following impedance spectrum is to be modeled.   Among the following circuit choices, which one can be used to model the data?</strong> A)   B)   C)   D) none of the above <div style=padding-top: 35px>
B) <strong>The following impedance spectrum is to be modeled.   Among the following circuit choices, which one can be used to model the data?</strong> A)   B)   C)   D) none of the above <div style=padding-top: 35px>
C) <strong>The following impedance spectrum is to be modeled.   Among the following circuit choices, which one can be used to model the data?</strong> A)   B)   C)   D) none of the above <div style=padding-top: 35px>
D) none of the above
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Deck 4: Data Analysis Equivalent Electrical Circuits
1
For the following circuit, determine the impedance at a frequency of 0.1 Hz. ZRe = __________ Ω\Omega and ZIm = ____________ Ω\Omega
 For the following circuit, determine the impedance at a frequency of 0.1 Hz. Z<sub>Re</sub> = __________  \Omega  and Z<sub>Im</sub> = ____________  \Omega
6.81 (from 6.7 to 6.9) , 1.38 (from 1.3 to 1.5)
2
For the following circuit, determine the impedance at a frequency of 1 Hz. ZRe = __________ Ω\Omega and ZIm = ____________ Ω\Omega
 For the following circuit, determine the impedance at a frequency of 1 Hz. Z<sub>Re</sub> = __________  \Omega  and Z<sub>Im</sub> = ____________  \Omega
429 (from 420 to 440), 113 (from 103 to 123)
3
Charge transfer resistance is the value of faradaic impedance at _____

A) infinite frequency
B) zero frequency
C) open circuit potential
D) large dc bias
A
4
An impedance spectrum of an electrochemical system can be modeled using the following circuit. Then , Rt = _________ Ω\Omega and Rp = ________ Ω\Omega
 An impedance spectrum of an electrochemical system can be modeled using the following circuit. Then , R<sub>t</sub> = _________  \Omega  and R<sub>p</sub> = ________  \Omega
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5
An impedance spectrum of an electrochemical system can be modeled using the following circuit. Then , Rt = _________ Ω\Omega and Rp = ________ Ω\Omega
 An impedance spectrum of an electrochemical system can be modeled using the following circuit. Then , R<sub>t</sub> = _________  \Omega  and R<sub>p</sub> = ________  \Omega
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6
An impedance spectrum of an electrochemical system can be modeled using the following circuit. Then , Rt = _________ Ω\Omega and Rp = ________ Ω\Omega
 An impedance spectrum of an electrochemical system can be modeled using the following circuit. Then , R<sub>t</sub> = _________  \Omega  and R<sub>p</sub> = ________  \Omega
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7
An impedance spectrum of a system is given below. The polarization resistance is _____ Ω\Omega
 An impedance spectrum of a system is given below. The polarization resistance is _____  \Omega
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8
From Bode plot, estimate charge transfer resistance _______ Ω\Omega and polarization resistance ___________ Ω\Omega
 From Bode plot, estimate charge transfer resistance _______  \Omega  and polarization resistance ___________  \Omega
 From Bode plot, estimate charge transfer resistance _______  \Omega  and polarization resistance ___________  \Omega
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9
An impedance spectrum of a system is given below. The charge transfer resistance is _____ Ω\Omega
 An impedance spectrum of a system is given below. The charge transfer resistance is _____  \Omega
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10
An impedance spectrum of a system is given below. The charge transfer resistance is _____ Ω\Omega and polarization resistance is _____ Ω\Omega
 An impedance spectrum of a system is given below. The charge transfer resistance is _____  \Omega  and polarization resistance is _____  \Omega
 An impedance spectrum of a system is given below. The charge transfer resistance is _____  \Omega  and polarization resistance is _____  \Omega
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11
An impedance spectrum of a complex reaction is acquired at open circuit potential. The real part of the impedance can exhibit negative differential resistance..
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12
The type of circuit given below is known as <strong>The type of circuit given below is known as  </strong> A) Maxwell circuit B) Ladder circuit C) Voigt circuit D) Randel's circuit

A) Maxwell circuit
B) Ladder circuit
C) Voigt circuit
D) Randel's circuit
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13
The type of circuit given below is known as <strong>The type of circuit given below is known as  </strong> A) Maxwell circuit B) Ladder circuit C) Voigt circuit D) Randel's circuit

A) Maxwell circuit
B) Ladder circuit
C) Voigt circuit
D) Randel's circuit
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14
When multiple circuits are evaluated to model a data, the best fit model should be selected based on

A) least number of parameters
B) least residual sum squared
C) least residual sum
D) Akaike information criterion
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15
An impedance spectrum containing 80 data points was fitted with different circuit models. The number of adjustable parameters in each model and the residual sum squared errors are listed below.  Model  Number of  Parameters  RSS  Model-1 3200 Model-2 5150 Model-3 8110 Model-4 12105\begin{array} { | l | l | l | } \hline \text { Model } & \begin{array} { l } \text { Number of } \\\text { Parameters }\end{array} & \text { RSS } \\\hline \text { Model-1 } & 3 & 200 \\\hline \text { Model-2 } & 5 & 150 \\\hline \text { Model-3 } & 8 & 110 \\\hline \text { Model-4 } & 12 & 105 \\\hline\end{array}
The best-suited model should be chosen based on the least value of

A) RSS
B) Akaike Information criterion (AIC)
C) corrected AIC
D) none of the above
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16
The following two circuits are equivalent. The values of R1 and R2 are (i) R1 = __________ Ω\Omega (ii) R2 = ________________ Ω\Omega
 The following two circuits are equivalent. The values of R<sub>1</sub> and R<sub>2</sub> are (i) R<sub>1</sub> = __________  \Omega  (ii) R<sub>2</sub> = ________________ \Omega
 The following two circuits are equivalent. The values of R<sub>1</sub> and R<sub>2</sub> are (i) R<sub>1</sub> = __________  \Omega  (ii) R<sub>2</sub> = ________________ \Omega
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17
The following two circuits are equivalent. The values of R1 and R2 are (i) R1 = __________ Ω\Omega (ii) R2 = ________________ Ω\Omega
 The following two circuits are equivalent. The values of R<sub>1</sub> and R<sub>2</sub> are (i) R<sub>1</sub> = __________  \Omega  (ii) R<sub>2</sub> = ________________ \Omega
 The following two circuits are equivalent. The values of R<sub>1</sub> and R<sub>2</sub> are (i) R<sub>1</sub> = __________  \Omega  (ii) R<sub>2</sub> = ________________ \Omega
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18
The following circuit can model an impedance spectrum perfectly.
<strong>The following circuit can model an impedance spectrum perfectly.   Which other circuits can model the data equally well?   (Circuit-1)   (Circuit-2)</strong> A) only Circuit-1 B) only Circuit-2 C) both Circuit-1 and Circuit-2 D) neither Circuit-2 nor Circuit-2
Which other circuits can model the data equally well?
<strong>The following circuit can model an impedance spectrum perfectly.   Which other circuits can model the data equally well?   (Circuit-1)   (Circuit-2)</strong> A) only Circuit-1 B) only Circuit-2 C) both Circuit-1 and Circuit-2 D) neither Circuit-2 nor Circuit-2 (Circuit-1)
<strong>The following circuit can model an impedance spectrum perfectly.   Which other circuits can model the data equally well?   (Circuit-1)   (Circuit-2)</strong> A) only Circuit-1 B) only Circuit-2 C) both Circuit-1 and Circuit-2 D) neither Circuit-2 nor Circuit-2
(Circuit-2)

A) only Circuit-1
B) only Circuit-2
C) both Circuit-1 and Circuit-2
D) neither Circuit-2 nor Circuit-2
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19
The following circuit can model an impedance spectrum perfectly. <strong>The following circuit can model an impedance spectrum perfectly.   Which other circuits can model the data equally well?   (Circuit-1)   (Circuit-2)</strong> A) only Circuit-1 B) only Circuit-2 C) both Circuit-1 and Circuit-2 D) neither Circuit-2 nor Circuit-2
Which other circuits can model the data equally well?
<strong>The following circuit can model an impedance spectrum perfectly.   Which other circuits can model the data equally well?   (Circuit-1)   (Circuit-2)</strong> A) only Circuit-1 B) only Circuit-2 C) both Circuit-1 and Circuit-2 D) neither Circuit-2 nor Circuit-2 (Circuit-1)
<strong>The following circuit can model an impedance spectrum perfectly.   Which other circuits can model the data equally well?   (Circuit-1)   (Circuit-2)</strong> A) only Circuit-1 B) only Circuit-2 C) both Circuit-1 and Circuit-2 D) neither Circuit-2 nor Circuit-2 (Circuit-2)

A) only Circuit-1
B) only Circuit-2
C) both Circuit-1 and Circuit-2
D) neither Circuit-2 nor Circuit-2
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20
The following impedance spectrum is to be modeled.
<strong>The following impedance spectrum is to be modeled.   Among the following circuit choices, which one can be used to model the data?</strong> A)   B)   C)   D) none of the above
Among the following circuit choices, which one can be used to model the data?

A) <strong>The following impedance spectrum is to be modeled.   Among the following circuit choices, which one can be used to model the data?</strong> A)   B)   C)   D) none of the above
B) <strong>The following impedance spectrum is to be modeled.   Among the following circuit choices, which one can be used to model the data?</strong> A)   B)   C)   D) none of the above
C) <strong>The following impedance spectrum is to be modeled.   Among the following circuit choices, which one can be used to model the data?</strong> A)   B)   C)   D) none of the above
D) none of the above
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21
The following impedance spectrum is to be modeled.
<strong>The following impedance spectrum is to be modeled.   Among the following circuit choices, which one can be used to model the data?</strong> A)   B)   C)   D) none of the above
Among the following circuit choices, which one can be used to model the data?

A) <strong>The following impedance spectrum is to be modeled.   Among the following circuit choices, which one can be used to model the data?</strong> A)   B)   C)   D) none of the above
B) <strong>The following impedance spectrum is to be modeled.   Among the following circuit choices, which one can be used to model the data?</strong> A)   B)   C)   D) none of the above
C) <strong>The following impedance spectrum is to be modeled.   Among the following circuit choices, which one can be used to model the data?</strong> A)   B)   C)   D) none of the above
D) none of the above
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