The circuit shown in Figure P9.47 can be used as a variable noninverting amplifier. The ci...

The circuit shown in Figure P9.47 can be used as a variable noninverting amplifier. The circuit uses a 50 kΩ potentiometer in conjunction with an ideal op-amp. (a) Derive the expression for the closed-loop voltage gain υO /υI in terms of the potentiometer setting x. (b) What is the range of closed-loop voltage gain? (c) Is there a potential problem with this circuit? If so, what is the problem?