Example - 2

Find a relationship between V_O and V₁ through V₆ in the circuit of fig. 5.

Fig. 5

Solution:

Let's consider of V₁ (singly) by shorting the others i.e. the circuit then looks like as shown in fig. 6.

The current flowing through the resistor R into the i/e. The current when passes through R, output an operational value of Let as now consider the case of V2 with other inputs shorted, circuit looks like as shown in fig. 7.	Fig. 6
Now VO is given by same thing to V4 and V6 net output V" = V2 + V4 + V6     (3) From (2) & (3) V' + V" = (V2 + V4 + V6 ) - (V1 + V3 + V5) So VO = V2 + V4 + V6 - V1 - V3 - V5.	Fig. 7

Example - 3

1. Show that the circuit of fig. 8 has A = V_O / V_i = - K (R₂ / R₁) with K = 1 + R₄ / R₂ + R₄ / R₃, and R_i = R₁.
2. Specify resistance not larger than 100 K to achieve A = -200 V / V and R_i = 100 K.



Fig. 8

Solution:

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