Dual Input, Balanced Output Difference Amplifier Assignment Help

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Dual Input, Balanced Output Difference Amplifier:

Circuit is shown in the figure 1 v1  and v2  are the 2 inputs, applied to the bases of Q1  and Q2 transistors. The output voltage can be measured between the 2 collectors C1 and C2, which are at the same DC potentials.

1213_dual input, balanced output difference amplifier.png

Fig. 1

A.C. Analysis :

In the earlier topic DC analysis has been done to obtain the operating point of two transistors. To find the voltage gain Ad  and input resistance Ri  of differential amplifier, AC equivalent circuit is drawn by using r-parameters as shown in the figure 2. The DC voltages are reduced to zero and the AC equivalent of CE configuration is used.

2201_dual input, balanced output difference amplifier1.png

Figure 2

As the 2 DC emitter currents are equal. Hence, resistance r'e1 and r'e2 are also equal and designated by r'e . This voltage across each collector resistance is shown 180° out of phase with respect to input voltages v1 and v2. This is identical to CE configuration. The polarity of the output voltage is given in Figure. The collector C2 is supposed to be more positive with respect to the collector C1 even though both are negative with respect to ground.

Applying KVL in 2 loops 1 & 2.

77_dual input, balanced output difference amplifier2.png

Substituting the current relations,

2248_dual input, balanced output difference amplifier3.png

Again, supposing RS1 / b and RS2 / b are quite small in comparison with RE and re' and thus neglecting these terms,

2143_dual input, balanced output difference amplifier4.png

Solving these 2 equations, ie1 and ie2 can be computed.

100_dual input, balanced output difference amplifier5.png

The output voltage VO can be given by

VO = VC2 - VC1

= -RC iC2 - (-RC iC1)

= RC (iC1 - iC2)

= RC (ie1 - ie2)

Substituting ie1, & ie2 in above expression

277_dual input, balanced output difference amplifier6.png

Therefore a differential amplifier amplifies difference between the two input signals. Defining the difference of input signals as vd  = v1  - v2  the voltage gain of dual input balanced output differential amplifier can be given as follows

                                              802_dual input, balanced output difference amplifier7.png        (E-2)  

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