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MIET2371 Sustainable Energy Fundamentals - RMIT University
Problem 1 Draw an equivalent circuit diagram for the following circuit with minimum number of resistors and capacitors. Calculate value of the resistors and capacitors.
Problem 2 Calculate the reactive power in an industrial power system that power factor and active power are 0.85KW and 28KW respectively
Problem 3 Explain what energy flows and where it goes to in a circuit consisting of a battery, resistor, switch and inductor (all connected in series) following the switch's closure. You will need the formula relating voltage drop across a resistor to current through the resistor and the formula relating voltage across an inductor to the current in the inductor (hint: V=L di/dt) and to get full marks you will have derived an equation for the energy stored in the inductor. A graphical representation of the variation of the energy in the inductor with time is also required.
Derive a transcendental equation for the resonant frequency of the dominant mode by writing the fields in the air- and dielectric-filled regions in terms of TE10 waveguide modes, and enforcing boundary conditions at z = 0, d - t, and d.
Using circuit diagrams showing current directions in each mode of operation, describe how a dual converter is operated in the motoring and generating modes.
Find the rate of discharge in cubic feet per second, and the pressure head at B if the pipe has a uniform diameter of 1 in.
Determine the values of (a) Ls (b) Cs; (c) Rs for critically damped condition; (d) Rs if the discharge time is limited to one-third of switching period
Write another process to check that B is stable 2 ns before and 1 ns after A goes high. The process should also report an error if B goes low for a time interval less than 10 ns.
Build a home security system circuit using this program. The system must include a door sensor,window sensor, smoke detector, water leak sensor, a motion detector.
For the system described in the previous problem, calculate the closed-loop zeros and poles in the z-domain, and find their equivalents in the s-domain.
Suppose you have a need for a D type flip-flop, but only have access to T type flip-flops. Implement a circuit equivalent to a D-type flip-flop with a t-type flip-flop and some extra logic gates.
Develop a control system to fill a container with water after it is emptied through a stopcock at the bottom. The system must automatically shut off the water when the container is filled.
Calculate the input power and power factor when the load is 30 kW at 0.8 PF lagging at rated voltage. Verify your solution using MATLABTM.
If an 8 kOhm load is connected to the terminals (a and b) of the unidentified linear circuit. Vab = 16 V. If a 2 kOhm load is connected to the terminals Vab = 8 V. Find Vab if a 20 kOhm load is connected to the terminals.
a) Assume B1 = ax2 - ay10(mT), find B2 and the angle that B2 makes with the interface. b) Assume B2 = ax10 +ay2(mT), find B1 and the angle that B1 makes with the normal to the interface.
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