Concept explainers
A voltage-to-current converter is shown in Fig. 5.110, which means that iL= Avi if R1R2 = R3R4. Find the constant term A.
Calculate the constant term A in the voltage-to-current converter in Figure 5.110.
Answer to Problem 93CP
The constant term A is
Explanation of Solution
Given data:
Refer Figure 5.110 in the textbook for the voltage-to-current converter circuit.
Calculation:
Modify the Figure 5.110 by indicating the node voltages. The modified circuit as shown in Figure 1.
In Figure 1, the
Write the node voltage expression at node
From the general property of ideal op amp, consider that the voltage across the two input terminals of op amp is equal to zero.
Re-arrange the equation.
Consider the expression by using Figure 1.
Substitute
Substitute
Write the expression for the current
Write the expression for the current
Substitute Equation (4) in (5).
Consider the expression for the voltage
Substitute Equations (6) and (7) in (3).
Consider the given expression.
Re-arrange the Equation.
Compare Equations (8) and (9).
Re-arrange the Equation.
Conclusion:
Thus, the constant term A is
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Chapter 5 Solutions
Fundamentals of Electric Circuits
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