The diagram shows an operational circuit. Which of the following correctely states the nature and magnitude of the amplification ?

Options

A. `{:("Nature","Magnitude of"(V_(0))/(V_(i))),("Inverting"," 0.2"):}`
B. `{:("Nature","Magnitude of"(V_(0))/(V_(i))),("Inverting"," 5.0"):}`
C. `{:("Nature","Magnitude of"(V_(0))/(V_(i))),("Non-inverting"," 0.2"):}`
D. `{:("Nature","Magnitude of"(V_(0))/(V_(i))),("Non-inverting"," 5.0"):}`

Answer

B

Explanation

The inverting input of the operational amplifier is virtual ground, thus
`(V_(1))/(R_(1))+(V_(0))/(R_(2)) =0 implies (V_(0))/(V_(i))=-(R_(2))/(R_(1)) =-(10 K)/(2K)=-5`
It is thus an inverting amplifier with gain of `-5`.