Resistor type elements are often used in electrical circuits. Consider the typical resistor element shown in Figure P2-23 with nodes 1 and 2. One form of Ohm's law says that the potential voltage difference across two points is equal to the current I through the conductor times the resistance R between the two points. In equation form, V 5IR where I denotes the current in units of amperes (amps) and V is the potential or voltage drop in units of volts (V) across the conductor of resistance R in units of ohms (). Use the method in Section 2.2 to derive the "stiffness" matrix relating potential drop to current at the nodes shown as

Figure P2-23

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1 -1 =R V2 {V} = [K]{I} or I2 1, V1 I2, V2