Q2 R R-A VIN) O A2 VOUT VIN(+) O R R+ 4 Figure Q2 (a) (a) Figure Q2 (a) shows the circuit diagram of part of an instrumentation amplifier. (i) Derive expressions for the differential and common-mode gains of the circuit. (ii) State the values of 4 for the three cases that the resistors have a tolerance of 1%, 0.1% and 0.01%. (b) Draw the diagram of a traditional three-opamp instrumentation amplifier. Write down expressions for the differential and common-mode gains of the complete circuit, including the circuit fragment shown in Figure Q2(a). A "Scanning Thermal Microscope" is used to image the temperature of a surface by moving a small thermometer across it. The thermometer consists of a small resistance element whose resistance changes with temperature such that (c) RSTEM = R, + aT {Equation 2} Where Ro = 1102 a= 0.2 Q/ °C The sensor has a thermal resistance to ambient of 2 × 10$ °C/W. The resistance is to be measured using a resistance bridge with three equal resistors as well as the probe. Design the bridge choosing values for the bridge resistors and bridge voltage given that the probe temperature should rise by no more than 0.5°C due to heating from the current flowing through it.

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