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## Credits

Birsa Institute of Technology (BIT), Sindri
Payal Priya has created this Calculator and 500+ more calculators!
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## 3-dB frequency of the cascode amplifier Solution

STEP 0: Pre-Calculation Summary
Formula Used
3_db_frequency = 1/(2*pi*Time constant)
fH = 1/(2*pi*T)
This formula uses 1 Constants, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Time constant- Time constant of the response represents the elapsed time required for the system response to decay to zero if the system had continued to decay at the initial rate.
STEP 1: Convert Input(s) to Base Unit
Time constant: 100 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fH = 1/(2*pi*T) --> 1/(2*pi*100)
Evaluating ... ...
fH = 0.00159154943091895
STEP 3: Convert Result to Output's Unit
0.00159154943091895 Hertz --> No Conversion Required
FINAL ANSWER
0.00159154943091895 Hertz <-- 3-dB Frequency
(Calculation completed in 00.000 seconds)

## < 10+ High-Frequency Response of the MOS Cascode Amplifier Calculators

Effective time-constant of the cascode amplifier
effective_high_frequency_time_constant = (Capacitance gate to source*Signal Resistance)+Capacitance gate to drain*((1+(Transconductance*drain resistance)*Signal Resistance)+drain resistance)+(Drain-body Capacitance+Capacitance gate to source)*drain resistance+(Capacitance+Capacitance gate to drain)*(1/Load resistance+1/Output resistance) Go
Effective time-constant of the MOS cascode amplifier
time_constant = (Signal Resistance*(Capacitance gate to source+Capacitance gate to drain*(1+(Transconductance*drain resistance))))+drain resistance*(Capacitance gate to drain+Drain-body Capacitance+Capacitance gate to source)+(1/Load resistance+1/Output resistance)*(Capacitance+Capacitance gate to drain) Go
Output resistance of the cascode amplifier
resistance_output = Resistance of Secondary winding in primary+Resistance of Primary winding in Secondary+(Transconductance*Resistance of Secondary winding in primary)*Resistance of Primary winding in Secondary Go
3-dB frequency in design insight and trade-off
3_db_frequency = 1/((2*pi)*(Capacitance+Capacitance gate to drain)*(1/Load resistance+1/Output resistance)) Go
Gate to drain resistance in the cascode amplifier
resistance_gate_to_drain = (1+(Transconductance*drain resistance))*Signal Resistance+drain resistance Go
Effective time-constant in design insight and trade-off
time_constant = (Capacitance+Capacitance gate to drain)*(1/Load resistance+1/Output resistance) Go
Unity gain frequency of the MOS cascode amplifier
unity_gain_frequency = Transconductance/((2*pi)*(Capacitance+Capacitance gate to drain)) Go
Signal current in the base
signal_current_in_the_base = (MOSFET Transconductance/Common emitter current gain)*Small Signal Go
Drain resistance in the cascode amplifier
drain_resistance = 1/Finite input resistance+1/Input resistance Go
3-dB frequency of the cascode amplifier
3_db_frequency = 1/(2*pi*Time constant) Go

### 3-dB frequency of the cascode amplifier Formula

3_db_frequency = 1/(2*pi*Time constant)
fH = 1/(2*pi*T)

## What is the difference between Cascade and cascode amplifier?

In a cascade amplifier, the transistors are arranged like a chain that is the output of the first transistor is connected as input for the second transistor. While in a cascode amplifier, the transistor is placed one above the other.

## How to Calculate 3-dB frequency of the cascode amplifier?

3-dB frequency of the cascode amplifier calculator uses 3_db_frequency = 1/(2*pi*Time constant) to calculate the 3-dB Frequency, The 3-dB frequency of the cascode amplifier formula is defined as the frequency at which the signal amplitude reduces by 3 dB i.e. becomes half its value. The bandwidth of a bandpass filter is usually defined as the 3 dB bandwidth. 3-dB Frequency and is denoted by fH symbol.

How to calculate 3-dB frequency of the cascode amplifier using this online calculator? To use this online calculator for 3-dB frequency of the cascode amplifier, enter Time constant (T) and hit the calculate button. Here is how the 3-dB frequency of the cascode amplifier calculation can be explained with given input values -> 0.001592 = 1/(2*pi*100).

### FAQ

What is 3-dB frequency of the cascode amplifier?
The 3-dB frequency of the cascode amplifier formula is defined as the frequency at which the signal amplitude reduces by 3 dB i.e. becomes half its value. The bandwidth of a bandpass filter is usually defined as the 3 dB bandwidth and is represented as fH = 1/(2*pi*T) or 3_db_frequency = 1/(2*pi*Time constant). Time constant of the response represents the elapsed time required for the system response to decay to zero if the system had continued to decay at the initial rate.
How to calculate 3-dB frequency of the cascode amplifier?
The 3-dB frequency of the cascode amplifier formula is defined as the frequency at which the signal amplitude reduces by 3 dB i.e. becomes half its value. The bandwidth of a bandpass filter is usually defined as the 3 dB bandwidth is calculated using 3_db_frequency = 1/(2*pi*Time constant). To calculate 3-dB frequency of the cascode amplifier, you need Time constant (T). With our tool, you need to enter the respective value for Time constant and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate 3-dB Frequency?
In this formula, 3-dB Frequency uses Time constant. We can use 10 other way(s) to calculate the same, which is/are as follows -
• resistance_gate_to_drain = (1+(Transconductance*drain resistance))*Signal Resistance+drain resistance
• drain_resistance = 1/Finite input resistance+1/Input resistance
• resistance_output = Resistance of Secondary winding in primary+Resistance of Primary winding in Secondary+(Transconductance*Resistance of Secondary winding in primary)*Resistance of Primary winding in Secondary
• effective_high_frequency_time_constant = (Capacitance gate to source*Signal Resistance)+Capacitance gate to drain*((1+(Transconductance*drain resistance)*Signal Resistance)+drain resistance)+(Drain-body Capacitance+Capacitance gate to source)*drain resistance+(Capacitance+Capacitance gate to drain)*(1/Load resistance+1/Output resistance)
• 3_db_frequency = 1/(2*pi*Time constant)
• time_constant = (Signal Resistance*(Capacitance gate to source+Capacitance gate to drain*(1+(Transconductance*drain resistance))))+drain resistance*(Capacitance gate to drain+Drain-body Capacitance+Capacitance gate to source)+(1/Load resistance+1/Output resistance)*(Capacitance+Capacitance gate to drain)
• time_constant = (Capacitance+Capacitance gate to drain)*(1/Load resistance+1/Output resistance)
• 3_db_frequency = 1/((2*pi)*(Capacitance+Capacitance gate to drain)*(1/Load resistance+1/Output resistance))
• unity_gain_frequency = Transconductance/((2*pi)*(Capacitance+Capacitance gate to drain))
• signal_current_in_the_base = (MOSFET Transconductance/Common emitter current gain)*Small Signal
Where is the 3-dB frequency of the cascode amplifier calculator used?
Among many, 3-dB frequency of the cascode amplifier calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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