Wide Band Differential Amplifier Calculator

The Wideband Differential Amplifier calculator calculate current levels, bias voltage, gain and frequency response for the wide-band differential amplifiers.

Wide-band Differential Amplifier Calculator

R1
(K ohms)
VC (Collector Voltage)
(V)
R2
(K ohms)
VE(Emitter Voltage)
(V)
RC (Collector resistor)
(K ohms)
VB (Base Voltage)
(V)
RE (Emitter resistor)
(K ohms)
IE (Emitter Voltage)
(mA)
VP (Supply Voltage)
(V)
IC (Collector Voltage)
(mA)
Beta (DC Current Gain)
IB (Base Voltage)
(mA)
VBE (Base to emitter drop)
(V)
gm (Transconductance)
Rs (Source Resistance):
(ohms)
rπ (Input Resistance of BJT at low freq)
(ohms)
RL (Load resistor)
(ohms)
re
(ohms)
fT (Current Gain BW Product):
(MHz)
RIN(Input Resistance of Amp)
(K ohms)
CCB (Cu Collector-Base Cap.):
(pF)
A (Amplifier Voltage Gain)
CBE (Cπ, Base-Emitter Cap.): Optional
(pF)
fP1
(MHz)
fP2
(MHz)

Equations

VB= VP*R2/(R1+R2)

VE= VB-VBE

IE=VE/RE

Alpha= Beta/(Beta+1);

IC= Alpha*IE

VC= VP - IC*RC/2

IB=IC/Beta

gm = Ic/25mA

re= Alpha/gm

rπ=Beta/gm

A=Alpha* rπ*RC/(Rs+2*rπ)/re

fP1=1/(2*π*(Rs||2*rπ)*(CBE/2+CBC))

fP2=1/(2*π*RC*CBC)

fT=gm/(2π*(CBE+CBC))

The lower pole is dominate.

Introduction

In this video, the design and working of BJT- differential amplifier is explained

BJT: Differential Amplifier Explained

Table for Wideband Differential Amplifier Calculator:
Ⅰ. Introduction of Wide-band Differential Amplifier Calculator
Ⅱ. Introduction of Wideband Amplifiers
2.1. What is a Wideband Amplifier?
Ⅲ. Introduction of Differential Amplifiers
3.1. What is Differential Amplifier?
3.2. Advantages of Differential Amplifier
3.3. What is the Differential Amplifier Used For?
3.4. Applications of Differential Amplifier
3.5. Types of Differential Amplifier
3.6. Differential Amplifier Circuit
3.6.1. MOSFET Differential Amplifier
3.6.2. BJT Differential Amplifier
3.6.3. Op-Amp Differential Amplifier


Ⅰ. Introduction of Wide-band Differential Amplifier Calculator

The Wideband Differential Amplifier calculator calculate current levels, bias voltage, gain and frequency response for the wide-band differential amplifiers.

A wide-band differential amplifier is an amplifier with wide band width and high gain. Using this amplifier, it is possible to overcome the Miller capacitance limitations by tying the collector of Q1 and the base of Q2 to signal ground. The resulting gain bandwidth is orders of magnitude greater than that of common emitter amplifiers. All it takes is one more transistor.

Ⅱ. Introduction of Wideband Amplifiers

2.1. What is a Wideband Amplifier?

In communications systems, wideband amplifiers are often used to boost signals to strengthen them for relay. They have a precise amplification factor over a wide frequency range. However, a narrowband amplifier is an amplifier that operates in a narrow band and amplifies only a particular range of frequencies.

A signal (a time-varying voltage or current) can be amplified using an amplifier (also known as an electronic amplifier or amp). It is a two-port electronic circuit that increases the amplitude of a signal applied to its input terminals by using electric power from the power supply. And it produces a proportionally higher amplitude signal at its output terminals after this increase in amplitude. By measuring the ratio of output voltage, current, or power to input, an amplifier can determine how much amplification it provides. An amplifier provides power gain greater than 1.

Ⅲ. Introduction of Differential Amplifiers

3.1. What is Differential Amplifier?

Differential amplifiers(also difference amplifiers) are the building blocks of the op-amp. In order to make the difference between two input signals stronger, differential amplifiers amplify the difference between the input signals. Let us see examples of differential Amplifiers as shown in the below figure.

differential-amplifiers-fig1.jpg

And the op-amp(operational amplifier) is a direct-coupled high gain amplifier, which controls its overall response characteristics (gain and bandwidth) via feedback. It operates from 0 to over 1MHZ.  The op-amp reveals the advantage right all the way down to 0 frequency.

Such direct coupled (dc) amplifiers do now no longer use blocking (coupling and with the aid of using by pass) capacitors in view that those could lessen the amplification to 0 at 0 frequency. Large with the aid of using by pass capacitors can be used however it isn't viable to manufacture massive capacitors on a IC chip. The capacitors fabricated are generally much less than 20 pf. Transistor, diodes and resistors also are fabricated at the equal chip.


And the formula that express a simple differential amplifier is:

formula-of-differential-amplifier.jpg

The explanation of the Formula is as following:
V0 stands for the output voltage
V1, V2 for the input voltages
Ad for the differential amplifier gain

Therefore, When V0=0 and V1=V2, we will get a suppressed output voltage. However, the differential amplifier gain Ad will make the result different, because it can amplify the difference between the input voltages V1 and V2.

3.2. Advantages of Differential Amplifier

I list the advantages of differential amplifier as the following.
There is only one important trouble that arises in amplifiers, which is the alternate in voltage degrees or fee with the aid of using the impact of temperature. These adjustments arise slowly and are called waft. Differential amplifiers showcase high-quality capacity to get rid of the trouble of waft. And the production of Differential Amplifier is utilized in all the ones circuits wherein low waft may be very important. Such as ranges of Oscilloscope and electronics voltmeter.

It responds to the most effective distinction sign among enter terminals and ignores all not unusual place mode alerts which includes noise pick-up and floor voltages, when we use a differential amplifier.

3.3. What is the Differential Amplifier Used For?

Differential amplifiers are used especially to suppress noise. Noise includes standard differential noise and common-mode noise, of which the latter can without problems be suppressed with an op-amp.

There are principal reasons of common-mode noise:
Noise is generated with inside the wires and cables, because of electromagnetic induction, etc., and it reasons a distinction in capability (i.e., noise) among the sign supply floor and the circuit floor.

Current flowing into the floor of a circuit from any other circuit reasons a floor capability rise (noise).

In both case, the floor capability, a reference for a circuit, fluctuates due to noise. It is tough to cast off common-mode noise with standard filters. Differential amplifiers are used as a way of suppressing common-mode noise.

Differential amplifiers are beneficial in electrically noisy environments in which a low amplitude electric sign may be without problems corrupted via way of means of the impact of undesirable outside noise.

In this scenario, a single-ended amplifier might be wrong on the grounds that it'd additionally extend the undesirable noise sign in addition to the favored enter sign. A differential amplifier works at the precept that undesirable electric noise couples similarly onto each enter terminals of the amplifier and could consequently be rejected permitting handiest the desired sign to be amplified.

3.4. Applications of Differential Amplifier

The reason of the differential amplifier is to growth the amplitude of the coronary heart sign to a stage in which it could be transformed right into a virtual form. The benefit of the circuit may be adjusted through suitable choice of outside resistors related among the output and enter terminals.

The differential amplifier is largely recognised for its distinction withinside the implemented enter indicators this makes it unique from different amplifiers. The programs of the differential amplifier are as follows.

The above are a number of the programs of the differential amplifier. In this way, the differential amplifier is high-quality due to the fact it could be designed with diverse forms of fundamental transistors. The required benefit may be received from those sorts of differential amplifiers. It is the excellent system designed in a easy and clean way that possesses the traits of the subtraction of the indicators. Hence the assets of variations on the implemented enter indicators makes it an amplifier with the differential traits.

The differential amplifier is essentially recognised for its distinction withinside the implemented enter indicators this makes it one of a kind from different amplifiers. The programs of the differential amplifier are as follows.

Based on its manner of operation its principal software is that it may be cited be used withinside the subtraction of the indicators. By making it to apply with an operational amplifier it may be desired withinside the comments circuit of the poor type. In extent manage circuits those differential amplifiers are used. In the manage circuit wherein the automated advantage is gift those amplifiers are desired. For the amplitude modulation techniques, those amplifiers are used.

3.5. Types of Differential Amplifier

There are four types of configurations in the Differential Amplifier as following:
1.Dual input balanced output Differential Amplifier.
2.Dual input unbalanced output Differential Amplifier.
3.Single input balanced output Differential Amplifier.
4.Single input unbalanced output Differential Amplifier.

3.6. Differential Amplifier Circuit

There are two types of differential amplifier circuits: BJT Differential Amplifier and Op-Amp Differential Amplifier. And BJT Differential Amplifier is a kind of differential amplifier, which consists of transistors, like FETs ( Field Effect Transistors) and BJTs (Bipolar Junction Transistors). However, Op-Amp differential amplifier is not built with transistors, but using Operational Amplifiers. The following pictures show you the circuit of BJT and Op-Amp differential amplifiers. Figure 1 is for BJT Differential Amplifier and Fig 2 for Op-Amp Differential Amplifier.

3.6.1. MOSFET Differential Amplifier

The primary differential amplifier also can be built withinside the equal way as BJT. The terminals reassets of each the MOSFETs are linked generally to the supply of consistent modern-day.  But in practice, the appropriate modern-day supply isn't always to be had in order that a circuit is designed and changed with it.  The circuit capability is specifically depending on the stability condition. This may be carried out through making the resistor’s price equal.

The biasing modern-day is the sum of the currents on the drain terminal of each the transistors.  In a perfect case, each the currents can also be equal.  The voltage generated on the output its significance is depending on the price of the modern-day on the drain terminal.

If the implemented voltage will increase above the edge price then if so the MOSFET enters right into a vicinity known as the triode. If the meant enter voltage implemented on the terminal gate is expanded it doesn’t have an effect on the price of the biasing modern-day. The biasing modern-day is acquired through the sum of the respective drain currents.

Hence the general modern-day ought to now no longer get affected. This is the cause if the enter biasing voltage of the primary transistor will increase then circuitously there's a decrement withinside the drain modern-day of the second one transistor.  This indicated the much less voltage drop at the primary transistor however the drop will increase at the second one transistor.

3.6.2. BJT Differential Amplifier

The differential amplifier designed with Bipolar Junction Transistor (BJT) is viable with the aid of using the usage of  transistors related in the sort of manner that the emitters of it are related to the floor. The inputs are implemented to the bottom of the transistors and the output is amassed on the collector. As the emitter is not unusual place the impact of the enter indicators is clear on the output. The differential amplifier operating is mentioned below.

Once the enter is implemented at the bottom of the transistor Q1 the voltage drop is determined throughout the resistor. This makes the transistor Q1 with a much less fantastic cost. The drop cost of the voltage is depending on the implemented enter. There are components gift withinside the circuit this is at base 1 and base 2.  With one deliver even the circuit can function.  The contrary facets of each the voltage components are related to the floor or the respective consistent cutting-edge source.

The conductance of the transistor T1 is primarily based totally at the fantastic voltage implemented on the enter it doesn't paintings if the enter voltage at the bottom is negative.

3.6.3. Op-Amp Differential Amplifier

The layout of the operational amplifier is straightforward to construct. It calls for  simple enter terminals one is thought for its inverting abilities and the opposite is for its non-inverting abilities.  It has a completely low enter cost of the impedance in contrast with different operational amplifiers.

But the disadvantage of this layout is that the benefit of those amplifiers isn't on top of things. The amplifier with none separate comments resistor linked to it makes it paintings as a differential amplifier. As for those amplifiers if the comments kind bad is implemented then that outcomes withinside the lack of one of the enter signals.

The issue of benefit may be maintained on top of things through connecting the resistors externally to the circuit. The resistors which can be interfaced externally if they may be of same resistance cost then in such instances the benefit is maintained to be at unity. But this may be taken into consideration to be the maximum best case due to the fact nearly it isn't feasible to get a benefit of unit cost.

Frequently Asked Questions

What does the Wide Band Differential Amplifier Calculator calculate?

The calculator determines critical parameters for designing wide-band differential amplifiers/ including current levels (IC/ IE/ IB)/ bias voltages (VB/ VE/ VC)/ voltage gain (A)/ and frequency response (fP1/ fP2). It also calculates transconductance (gm)/ input resistance (rπ)/ and other key metrics using user-provided resistor values/ supply voltage/ and transistor specifications.

How does this amplifier overcome Miller capacitance limitations?

The design ties the collector of Q1 and the base of Q2 to signal ground/ bypassing the Miller effect. This configuration significantly improves gain-bandwidth compared to common-emitter amplifiers/ enabling high-frequency performance without stability issues.

What parameters are required to use the calculator?

Inputs include resistor values (R1/ R2/ RC/ RE)/ supply voltage (VP)/ transistor Beta (β)/ base-emitter voltage (VBE)/ current gain-bandwidth product (fT)/ and parasitic capacitances (CBC/ optional CBE). Source resistance (Rs) and load resistance (RL) are also needed for accurate gain and frequency calculations.

How does Beta (β) influence the amplifier’s performance?

Beta affects DC current gain/ directly impacting collector current (IC = β*IB) and input resistance (rπ = β/gm). Higher Beta increases voltage gain and input impedance but requires careful thermal and stability management to avoid drift or distortion.

Why is the lower pole (fP1) dominant in the frequency response?

The lower pole fP1 dominates because it arises from the input stage’s RC network (Rs || 2rπ interacting with CBE/2 and CBC). This pole defines the amplifier’s -3dB bandwidth/ while fP2 (from the output RC network) typically lies at higher frequencies due to smaller RC time constants.
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