Question

Find vo in the op amp circuit given below,

where R = 20 Ω. The output voltage vo of the given op amp
circuit is___ V.

Answer 1

The output voltage
`\(v_o\)` of the given op amp circuit, where
`\(R = 20 \ Ω\)`, is 0 V.

Step-by-step explanation:

In the given op amp circuit, if the input terminals are at the same potential (as implied by the ideal op amp assumption), the voltage difference across the resistor R is zero. This results in no current flow through R, and consequently, the voltage drop across R is zero.

Since the voltage drop across R is zero, the output voltage
`\(v_o\)` is also zero. In an ideal scenario, the op amp ensures that the inverting and non-inverting input terminals are at the same potential, leading to a virtual short circuit at those terminals. Therefore, the output voltage remains zero.

The formula for the voltage drop across a resistor is given by Ohm's Law:
`\(V = I * R\)`. In this case, since the current I is zero, the voltage drop is also zero.

Hence, the final output voltage
`\(v_o\)` is 0 V. This is a characteristic behavior of an op amp circuit with no voltage difference across the input terminals.