Ground Capacitance Calculator

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✖Agressor Voltage refers to the avoided voltage in a CMOS circuit, which is typically a small positive voltage added to the input signal to avoid unwanted triggering of the circuit.ⓘ Agressor Voltage [V_agr]			+10% -10%
✖Adjacent capacitance is the capacitance at adjacent point.ⓘ Adjacent Capacitance [C_adj]			+10% -10%
✖Victim Voltage is calculated when the victim being actively driven, then the driver will supply current to oppose to reduce the victim's noise.ⓘ Victim Voltage [V_tm]			+10% -10%

✖Ground Capacitance is the capacitance at the ground of the CMOS Circuit.ⓘ Ground Capacitance [C_gnd]

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Formula

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Ground Capacitance

Formula

`"C"_{"gnd"} = (("V"_{"agr"}*"C"_{"adj"})/"V"_{"tm"})-"C"_{"adj"}`

Example

`"2.980392pF"=(("17.5V"*"8pF")/"12.75V")-"8pF"`

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Ground Capacitance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ground Capacitance = ((Agressor Voltage*Adjacent Capacitance)/Victim Voltage)-Adjacent Capacitance
C_gnd = ((V_agr*C_adj)/V_tm)-C_adj
This formula uses 4 Variables

Variables Used

Ground Capacitance - (Measured in Farad) - Ground Capacitance is the capacitance at the ground of the CMOS Circuit.
Agressor Voltage - (Measured in Volt) - Agressor Voltage refers to the avoided voltage in a CMOS circuit, which is typically a small positive voltage added to the input signal to avoid unwanted triggering of the circuit.
Adjacent Capacitance - (Measured in Farad) - Adjacent capacitance is the capacitance at adjacent point.
Victim Voltage - (Measured in Volt) - Victim Voltage is calculated when the victim being actively driven, then the driver will supply current to oppose to reduce the victim's noise.

STEP 1: Convert Input(s) to Base Unit

Agressor Voltage: 17.5 Volt --> 17.5 Volt No Conversion Required
Adjacent Capacitance: 8 Picofarad --> 8E-12 Farad (Check conversion here)
Victim Voltage: 12.75 Volt --> 12.75 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_gnd = ((V_agr*C_adj)/V_tm)-C_adj --> ((17.5*8E-12)/12.75)-8E-12

Evaluating ... ...

C_gnd = 2.98039215686275E-12

STEP 3: Convert Result to Output's Unit

2.98039215686275E-12 Farad -->2.98039215686275 Picofarad (Check conversion here)

FINAL ANSWER

2.98039215686275 ≈ 2.980392 Picofarad <-- Ground Capacitance

(Calculation completed in 00.004 seconds)

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 19 Array Datapath Subsystem Calculators

Carry-Looker Adder Delay

Go Carry-Looker Adder Delay = Propagation Delay+Group Propagation Delay+((N-Input AND Gate-1)+(K-Input AND Gate-1))*AND-OR Gate Delay+XOR Delay

Multiplexer Delay

Go Multiplexer Delay = (Carry-Skip Adder Delay-(Propagation Delay+(2*(N-Input AND Gate-1)*AND-OR Gate Delay)-XOR Delay))/(K-Input AND Gate-1)

Carry-Skip Adder Delay

Go Carry-Skip Adder Delay = Propagation Delay+2*(N-Input AND Gate-1)*AND-OR Gate Delay+(K-Input AND Gate-1)*Multiplexer Delay+XOR Delay

Carry-Increamentor Adder Delay

Go Carry-Incrementor Adder Delay = Propagation Delay+Group Propagation Delay+(K-Input AND Gate-1)*AND-OR Gate Delay+XOR Delay

Critical Delay in Gates

Go Critical Delay in Gates = Propagation Delay+(N-Input AND Gate+(K-Input AND Gate-2))*AND-OR Gate Delay+Multiplexer Delay

Group Propagation Delay

Go Propagation Delay = Tree Adder Delay-(log2(Absolute Frequency)*AND-OR Gate Delay+XOR Delay)

Tree Adder Delay

Go Tree Adder Delay = Propagation Delay+log2(Absolute Frequency)*AND-OR Gate Delay+XOR Delay

Cell Capacitance

Go Cell Capacitance = (Bit Capacitance*2*Voltage Swing on Bitline)/(Positive Voltage-(Voltage Swing on Bitline*2))

Bit Capacitance

Go Bit Capacitance = ((Positive Voltage*Cell Capacitance)/(2*Voltage Swing on Bitline))-Cell Capacitance

Voltage Swing On Bitline

Go Voltage Swing on Bitline = (Positive Voltage/2)*Cell Capacitance/(Cell Capacitance+Bit Capacitance)

Ground Capacitance

Go Ground Capacitance = ((Agressor Voltage*Adjacent Capacitance)/Victim Voltage)-Adjacent Capacitance

'XOR' Delay

Go XOR Delay = Ripple Time-(Propagation Delay+(Gates on Critical Path-1)*AND-OR Gate Delay)

Carry-Ripple Adder Critical Path Delay

Go Ripple Time = Propagation Delay+(Gates on Critical Path-1)*AND-OR Gate Delay+XOR Delay

Area of Memory Containing N Bits

Go Area of Memory Cell = (Area of One Bit Memory Cell*Absolute Frequency)/Array Efficiency

Area of Memory Cell

Go Area of One Bit Memory Cell = (Array Efficiency*Area of Memory Cell)/Absolute Frequency

Array Efficiency

Go Array Efficiency = (Area of One Bit Memory Cell*Absolute Frequency)/Area of Memory Cell

N-Bit Carry-Skip Adder

Go N-bit Carry Skip Adder = N-Input AND Gate*K-Input AND Gate

K-Input 'And' Gate

Go K-Input AND Gate = N-bit Carry Skip Adder/N-Input AND Gate

N-Input 'And' Gate

Go N-Input AND Gate = N-bit Carry Skip Adder/K-Input AND Gate

Ground Capacitance Formula

Ground Capacitance = ((Agressor Voltage*Adjacent Capacitance)/Victim Voltage)-Adjacent Capacitance
C_gnd = ((V_agr*C_adj)/V_tm)-C_adj

How does noise vary with victim and the aggressor?

Suppose wire A switches while B is supposed to remain constant. This introduces noise as B partially switches. We call A the aggressor or perpetrator and B the victim(t). When the victim is floating, the noise remains indefinitely. When the victim is driven, the driver restores the victim. Larger (faster) drivers oppose the coupling sooner and result in noise that is a smaller percentage of the supply voltage. Note that during the noise event the victim transistor is in its linear region while the aggressor is in saturation. For equal-sized drivers, this means Raggressor is two to four times Rvictim, with greater ratios arising from more velocity saturation.

How to Calculate Ground Capacitance?

Ground Capacitance calculator uses Ground Capacitance = ((Agressor Voltage*Adjacent Capacitance)/Victim Voltage)-Adjacent Capacitance to calculate the Ground Capacitance, The Ground Capacitance formula is defined as the ratio of the amount of electric charge stored on a conductor to the difference in electric potential. Ground Capacitance is denoted by C_gnd symbol.

How to calculate Ground Capacitance using this online calculator? To use this online calculator for Ground Capacitance, enter Agressor Voltage (V_agr), Adjacent Capacitance (C_adj) & Victim Voltage (V_tm) and hit the calculate button. Here is how the Ground Capacitance calculation can be explained with given input values -> 3E+12 = ((17.5*8E-12)/12.75)-8E-12.

FAQ

What is Ground Capacitance?

The Ground Capacitance formula is defined as the ratio of the amount of electric charge stored on a conductor to the difference in electric potential and is represented as C_gnd = ((V_agr*C_adj)/V_tm)-C_adj or Ground Capacitance = ((Agressor Voltage*Adjacent Capacitance)/Victim Voltage)-Adjacent Capacitance. Agressor Voltage refers to the avoided voltage in a CMOS circuit, which is typically a small positive voltage added to the input signal to avoid unwanted triggering of the circuit, Adjacent capacitance is the capacitance at adjacent point & Victim Voltage is calculated when the victim being actively driven, then the driver will supply current to oppose to reduce the victim's noise.

How to calculate Ground Capacitance?

The Ground Capacitance formula is defined as the ratio of the amount of electric charge stored on a conductor to the difference in electric potential is calculated using Ground Capacitance = ((Agressor Voltage*Adjacent Capacitance)/Victim Voltage)-Adjacent Capacitance. To calculate Ground Capacitance, you need Agressor Voltage (V_agr), Adjacent Capacitance (C_adj) & Victim Voltage (V_tm). With our tool, you need to enter the respective value for Agressor Voltage, Adjacent Capacitance & Victim Voltage and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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