Question

Design a circuit to perform the following function:

$V_0=-4V_1-1000I_1$

Short answer

The circuit that can perform the given function is,

Step-by-step solution

Step 1. Given Information

Given the function $V_0=-4V_1-1000I_1$.

We are asked to design a circuit that performs the function.

Step 2. Explanation

Operational amplifiers can be used to perform various mathematical operations.

Here we can introduce resistance $R_1=250\Omega$and feedback resistance $R_f=1000\Omega$.

Therefore the circuit can be designed as shown below;

$I_1$is the current through $R_1$and $V_0$is the output voltage

Therefore,$V_0=\frac{-R_f}{R_1}-I_1{R}_f=-4V_1-1000I_1$