(i) Which of the following expressions corresponds to the magnitude of the voltage gain for the circuit
shown in Figure 1.10 when the op-amp operates in sinusoidal steady state? Assume ideal op-amp behaviour
and the input is sinusoidal.
$R_2$
C
$R_1$
+
$V_{IN}$
+
$V_{OUT}$
Figure 1.10
(A) $|\frac{V_{OUT}}{V_{IN}}| = \frac{\omega R_2 C}{\sqrt{1+(\omega R_1 C)^2}}$
(B) $|\frac{V_{OUT}}{V_{IN}}| = \frac{\omega R_1 C}{\sqrt{1+(\omega R_2 C)^2}}$
(C) $|\frac{V_{OUT}}{V_{IN}}| = \frac{\omega R_1 C}{1+\omega R_1 C}$
(D) $|\frac{V_{OUT}}{V_{IN}}| = \frac{R_2}{R_1}$
[4 marks]