FL10quiz2 - q = G T o-T i This flow rate q requires its...

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ESE 351 Quiz 2 Name: 9/7/2010 Sections 1.10.1–1.10.3; 1.4-1.6 a. A student is told to write an equation based on Kirchhoff’s current law applied to a node. The circuit has n nodes and the student generates n equations by applying the law to each node. Will there be a problem? If so, why? b. Is it recommended to define the voltage and the current of every element and introduce variables such as v R 1 ,i R 1 ,v R 2 ,i R 2 ,v R 3 ,i R 3 ,... ? c. Consider an inertial element with moment of inertia J spinning at an angular velocity ω ( t ). What is its inertial torque τ i ( t )? d. Consider a wall of heat conductance G found in a house. Denote the temperature outside by T o and the temperature inside by T i . The heat flow rate q through the wall is expressed as
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Unformatted text preview: q = G ( T o-T i ). This flow rate q requires its reference direction. Should the arrow for the flow rate q be from the inside to the outside or from the outside to the inside? e. Consider a tank with constant cross sectional area A . See Figure 1. Suppose that the tank q i A q o h Figure 1: Tank. loses its water at the rate of q o ( t ) through its outflow pipe and that it receives water at the rate of q i ( t ) from the inflow pipe. We assume that the rates q o ( t ) and q i ( t ) are both volumetric flow rates. Let h ( t ) denote the head (i.e., the water level) of the tank. What equation should these four quantities satisfy?...
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