Problem 3 Strain gauges and the bridge configuration shown in Figure P3 are to be used to convert change in resistance due to strain into changes in voltage. Ro is the rest resistance of the strain gauge and the resistance of the resistors, AR is the change in resistance due to strain, and AR, is the change in resistance due to changes in temperature. a) Derive an expression for the output of the bridge (Vout) in terms of the input (change in resistance). b) Swap the impedances for 23 and 24, making 24 the second active arm. Derive the new expression for the output of the bridge in terms of input. c) State which configuration is preferable and why. d) If Ro is 120 2, and Imax is 30 mA, what is the maximum allowable supply voltage? Z1 Z1 = Ro + AR + ART Z2 = Ro Z3 = Ro - AR + ART Z4 = Ro Z2 %3D %3D Vsupply %3D Z4 Z3 Vout Figure P3

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Nodal Analysis

In the analysis of any electric circuit, nodal analysis is the method of determining the potential difference or voltage between different nodes in an electric circuit. A node is a point where two or more branches connect each other. In the nodal analysis, the voltages are determined in the terms of branch currents. The nodal analysis is also known as the node voltage method or branch current method. The nodal analysis method is one of the several applications of Kirchhoff's Current Law (KCL).