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There are different configurations of hybrid electric vehicles (HEVs). On of its configuration is power split hybrid electric vehicle. One of its applications can be found out in Toyota Prius that utilized Hybrid Synergy Drive THS-II. A key component of power split hybrid electric vehicle is planetary gear which is responsible for combining Internal Combustion Engine (ICE), Electric Motor and Generator.


You are required to describe its kinematic. Also solve for its kinetics if the following information are provided.

The desired torque of vehicle = 100+last two digits of your registration [Nm] Mass of vehicle = 1504 kg

Final gear ratio from wheel to the ring = 3.93 Torques of Electric motor = 200 [Nm] Torques of ICE = 90 [Nm]

 

speed of Electric motor = 500 [rad/s] speed of ICE = 400 [rad/s]

the moment of inertia of engine, motor, generator, and vehicle are 1.746 [kgm2], 0.0226 [kgm2], 0.0226 [kgm2], and 3.3807 [kgm2] respectively.

Find toque and speed of generator.


Draw a backward Vernier scale to read maximum up to 500 m, such that a line of


24 cm represents a length of 600 m. The least count of the Vernier scale should be 50


cm. Show lengths of 355.5 m and 166.5 m on it.

Draw a backward Vernier scale to read maximum up to 500 m, such that a line of



24 cm represents a length of 600 m. The least count of the Vernier scale should be 50



cm. Show lengths of 355.5 m and 166.5 m on it.

Steam at a temperature of 250oC has a specific volume of 0.15436 m3/kg . What are the pressure , specific internal energy, enthalpy, and entropy?


(3) What would be considered good values for the common base current gain α and 

the common emitter current gain β, respectively, in a BJT? ( ). 

A. 0.1 and 0.11 B. 0.5 and 1 

C. 0.99 and 99 D. 3 and 1.5 

(4) What is the order of highest doping, next highest doping, and lightest doping in a 

good BJT? ( ). 

A. Emitter, base, collector B. Emitter, collector, base 

C. Base, collector, emitter D. Collector, base, emitter


(1) There are two PN junctions in a bipolar transistor. Each one can be either forward 

biased (FB) or reverse biased (RB). In the reverse active mode of operation, how 

are these two junctions biased? ( ). 

A. Emitter-base is FB and base-collector is FB. 

B. Emitter-base is FB and base-collector is RB. 

C. Emitter-base is RB and base-collector is FB. 

D. Emitter-base is RB and base-collector is RB. 

(2) In a good bipolar transistor operating in the active region, what is the spatial profile 

of minority carriers in the base? ( ). 

A. Exponentially increasing from emitter to collector. 

B. Exponentially decreasing from emitter to collector. 

C. Linearly increasing from emitter to collector. 

D. Linearly decreasing from emitter to collector. 



2. Consider an NPN BJT with the following parameters: 

IEn = 1 mA, IEp = 0.01 mA, ICn = 0.98 mA, ICp = 0.0001 mA 

(1) Determine the currents, IE, IC, IB. 

(2) Determine the emitter injection efficiency, γ. 

(3) Determine the base transport factor, β*

(4) Determine αDC, βDC.


3. Consider the NPN BJT made of silicon is in the forward active region, with IC = 10 

μA, doping concentrations NE = 1018 cm-3, NB = 1017 cm-3, and NC = 1016 cm-3; 

thicknesses WE = 0.5 μm, WB = 0.25 μm, and WC = 2 μm; and diffusion constants 

DpE = 2 cm2/s, DnB = 20 cm2/s, and DpC = 12 cm2/s, and Lnb = 1 μm. The 

cross-sectional area A = 1 μm2. Assume that recombination within the BJT is small 

(i.e., diffusion lengths are much larger than the thicknesses of each layer). 

Calculate the emitter injection efficiency γ, the base transport factor β*

, the common 

emitter current gain βdc, the common base current gain αdc, respectively.


4. Why is the collector less heavily doped than the base in a typical BJT? Give 3 

reasons.


Three resistors RA, RB and RC are connected in series and to a 120volt source. If RB = 2RA, RC = 3RA , when the circuit current is 10 amp, calculate the resistance of each resistor.  

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