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ENGINEERING

A voltage regulator consisting of two diodes in series fed with a constant-current source is used as a replacement for a single carbon–zinc cell (battery) of nominal voltage 1.5 V. The regulator load current varies from 2 mA to 7 mA. Constant-current supplies of 5 mA, 10 mA, and 15 mA are available. Which would you choose, and why? What change in output voltage would result when the load current varies over its full range?

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ENGINEERING

A three-phase load is to be powered by a three-wire three-phase $Y$ connected source having phase voltage of $400 \text{ V}$ and operating at $50 \text{ Hz}$. Each phase of the load consists of a parallel combination of a $500 \Omega$ resistor, $10 \text{ mH}$ inductor, and $1 \text{ mF}$ capacitor. (a) Compute the line current, line voltage, phase current, and power factor of the load if the load is also Y-connected. (b) Rewire the load so that it is $\Delta$ connected and find the same quantities requested in part (a).

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ENGINEERING

A slightly oxygenated air mixture is 69% N2, 1%Ar, and 30% O2 on a mole basis. Assume a total pressure of 101 kPa and find the mass fraction of oxygen and its partial pressure.

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ENGINEERING

A transportation engineering study was conducted to determine the proper design of bike lanes. Data were gathered on bike-lane widths and average distance between bikes and passing cars. The data from 9 streets are $$ \begin{matrix}\mathrm{\scriptstyle{Distance, \ m}} & \text{2.4} & \text{1.5} & \text{2.4} & \text{1.8} & \text{1.8} & \text{2.9} & \text{1.2} & \text{3} & \text{1.2}\\\mathrm{\scriptstyle{Lane \ Width, \ m}} & \text{2.9} & \text{2.1} & \text{2.3} & \text{2.1} & \text{1.8} & \text{2.7} & \text{1.5} & \text{2.9} & \text{1.5}\\\end{matrix} $$ (a) Plot the data. (b) Fit a straight line to the data with linear regression. Add this line to the plot. (c) If the minimum safe average distance between bikes and passing cars is considered to be 1.8 m, determine the corresponding minimum lane width.

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