Experiments #4 Frequency Response Of BJT

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Electronics II LabEELE 3120Experiments #4Frequency Response of BJT1) Objectives:To study the frequency response and bandwidth of the common emitter CE-BJT, thecommon collector CC-BJT, and the common base CB-BJT amplifiers.2) Introduction:Most amplifiers have relatively constant gain across a range or band of frequencies, thisband of frequencies is referred to as the bandwidth (BW) of the circuit.Bandwidth means the difference between the upper and lower frequencies of thefrequency response as shown in the figure 4.1Figure 4.1: the frequency response of BJTWhen operated within its bandwidth, the values of 𝐴𝑣 & 𝐴𝑖 for an amplifier are calculatedas shown earlier, these values are referred to as mid-band gain values, and aredesignated as π΄π‘£π‘šπ‘–π‘‘ & π΄π‘–π‘šπ‘–π‘‘ .The frequency response is a graphical representation of the relationship betweenamplifier gain and operating frequency for input signal, as an example sinusoidal signal.Page 1 of 8

Electronics II LabEELE 3120So why we need this type of analysis for an amplifier, because we need to determine the:-To determine the stability region for amplifier systems.To design an amplifier systems that met the required specifications.3) AC & DC Analysis:a) DC Analysis:As we know the frequency in DC is equal zero because there is no oscillation in DCsignal so, the reactance of capacitor is equal infinity that mean the capacitors work asopen circuit.b) AC Analysis:In this analysis we will study the effect of capacitors in different level of frequenciesas: Low frequencyMiddle frequencyHigh frequencyBefore we start our analysis we need first know the names of capacitors and itslocations, there are two type of capacitor: Practical capacitors: Cin, Cout, CE these capacitors are connected as shown infigure 4.1 and it’s effective in low frequency.Virtual capacitors: Cwi, Cwo, CBE, CBC, CCE these capacitors are appears andeffectives on the high frequency because its value in Nano-farad.Page 2 of 8

Electronics II LabEELE 3120Cases of capacitor: At very low frequency the capacitor work as open circuit.At very high frequency the capacitor work as short circuit.At normal frequency the capacitor have a magnitude and effect on thefrequency response.𝑋𝑐 12πœ‹π‘“π‘Now, we will show the relationship between the voltage gain and varying frequencyand defined the regions on this curve as shown in figure 4.2Figure 4.2: The frequency response of BJT amplifierFigure 4.3: The sample circuit diagram of BJT amplifierPage 3 of 8

Electronics II Lab EELE 3120Low frequency response of BJT amplifier: (𝟎 π‘­π’π’π’˜ )At this region all capacitors will be open circuit because its reactance will beequal infinity at 𝑓 0 and 𝐴𝑣 0.Now, if the frequency increase slightly the voltage gain will be increase also untilthe frequency reach to low cut frequency, after this critical point the capacitorswill be short circuit and voltage gain raise to the maximum value (𝐴𝑣(π‘šπ‘–π‘‘) ).1- 𝐢𝑖𝑛 π‘Žπ‘‘ πΆπ‘œπ‘’π‘‘ & 𝐢𝐸 short circuit:𝑓𝑙𝐢𝑖𝑛 12πœ‹(𝑅𝑠 𝑍𝑖)𝐢𝑖𝑛Where: 𝑍𝑖𝑛 𝑅1//𝑅2//π΅π‘Ÿπ‘’2- πΆπ‘œπ‘’π‘‘ π‘Žπ‘‘ 𝐢𝑖𝑛 & 𝐢𝐸 short circuit:π‘“π‘™πΆπ‘œπ‘’π‘‘ 12πœ‹(π‘…π‘œ 𝑅𝑙)πΆπ‘œπ‘’π‘‘3- 𝐢𝐸 π‘Žπ‘‘ 𝐢𝑖𝑛 & πΆπ‘œπ‘’π‘‘ short circuit:𝑓𝑙𝐢𝐸 1𝑅 𝑠 π΅π‘Ÿπ‘’2πœ‹ (𝑅𝐸 ) 𝐢𝐸𝐡Where: 𝑅 𝑠 𝑅𝑠//𝑅1//𝑅2 High frequency response of BJT amplifier: (π‘­π’‰π’Šπ’ˆπ’‰ )In this region will be appear the effect of virtual capacitors which called parasiticeffect (𝐢𝑀𝑖, πΆπ‘€π‘œ, 𝐢𝐡𝐸, 𝐢𝐢𝐸, 𝐢𝐢𝐡), and its value in Nano-farad.These capacitors at very high frequency will be short circuit and it reactance equalzero, and the voltage gain goes to zero.In this region all practical capacitors are short circuit also.Page 4 of 8

Electronics II LabEELE 31201- At 𝐢𝑖𝑛, πΆπ‘œπ‘’π‘‘, 𝐢𝐸 are shortcircuit:𝐢𝑖 οΏ½οΏ½ 𝐢𝐡𝐸[1 𝐴𝑣]𝐢𝑖 𝐢𝑀𝑖 𝐢𝐡𝐸 πΆπ‘šπ‘–πΆπ‘œ οΏ½οΏ½ 𝐢𝐡𝐢[1 1]π΄π‘£πΆπ‘œ πΆπ‘€π‘œ 𝐢𝐢𝐸 πΆπ‘šπ‘œ2- High frequency law:π‘“β„Žπ‘– 12πœ‹π‘…π‘‘β„Žπ‘– πΆπ‘–π‘“β„Žπ‘œ 12πœ‹π‘…π‘‘β„Žπ‘œ πΆπ‘œπ‘…π‘‘β„Žπ‘– οΏ½ 𝑅𝐿//𝑅𝑐//π‘Ÿπ‘œPage 5 of 8

Electronics II LabEELE 3120Before we are going to lab work we need to know some important definitionswhich we need them in design.Logarithm:π‘₯ log 𝑏 π‘Ž , π‘Ž 𝑏 π‘₯Why we need log scale? To represent a large scale of frequency start from 𝐻𝑧 andgoes to 𝑀𝐻𝑧.There are two modes of log scale:-Semi Log: that mean the x-axis is logarithm increment and y-axis is linearincrement.Double Log: that mean the x-axis and y-axis are logarithm increment.Decibels: (dB)1 𝑑𝐡 10 log10𝑝2𝑝11 𝑑𝐡 20 log10 𝐴𝑣Notes:-To find the Low cut off frequency 𝑓𝐿 𝑀𝐴𝑋(𝑓𝐿𝑐𝑖𝑛 , π‘“πΏπ‘π‘œπ‘’π‘‘ , 𝑓𝐿𝑐𝑒 ).To find the upper cut off frequency 𝑓𝐻 𝑀𝐼𝑁(𝑓𝐻𝑖 , π‘“π»π‘œ )Page 6 of 8

Electronics II LabEELE 31204) Lab work:Figure 4.4: Common Emitter Amplifier1- Connect the circuit in figure 4.4.2- Adjust the DC power supply at 20Vdc.3- Adjust the function generator to sinusoidal of 𝑉𝑝 1π‘‰π‘Žπ‘ at a frequency 1𝐾𝐻𝑧.4- Measure the output voltage Vo RMS value (AC mode in Multi-meter device).5- Calculate π΄π‘£π‘šπ‘–π‘‘ & 0.707π΄π‘£π‘šπ‘–π‘‘ which be equal 0.707π‘‰π‘œ because the input voltageequal 1π‘‰π‘Žπ‘.6- Now decrease the frequency of input signal to get 𝑉 π‘œ 0.707π‘‰π‘œ on Multi-meterscreen to find 𝑓𝐿 .7- Then increase the frequency of input signal to get 𝑉 π‘œ 0.707π‘‰π‘œ on Multi-meterscreen to find 𝑓𝐻 .8- Now calculate the Bandwidth π΅π‘Š 𝑓𝐻 𝑓𝐿 .9- Now varying the frequency of function generator according to table 1 shown belowand measure the variable on each level.10- Plot the voltage gain 𝐴𝑣 relative to frequency.Page 7 of 8

Electronics II LabEELE 3120Frequency (Hz)Vin (RMS)Vo (RMS)𝑨𝒗 𝑽𝒐 π‘½π’Šπ’1101001k10k50k100k1M2M5MTable 1: Common Emitter Amplifier result5) Exercise:1- Repeat all steps for common emitter amplifier using Orcad.2- Repeat all steps for emitter follower amplifier which shown below using Orcad.Page 8 of 8

Frequency Response of BJT 1) Objectives: To study the frequency response and bandwidth of the common emitter CE-BJT, the common collector CC-BJT, and the common base CB-BJT amplifiers. 2) Introduction: Most amplifiers have relatively

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