![4. Consider a small system S immersed in a large reservoir R. The total system (R +8) has energy C. Energy can flow between the system and reservoir. Let ε be the system energy at a particular instant a) Show that P(ε), P(e2)-exp[-cl/ty expl-er]. b) Then show that P(e)-exp[- /t1/2.](http://img.homeworklib.com/questions/dd5d14b0-b03c-11eb-bf1b-e959e1439ad4.png?x-oss-process=image/resize,w_560)
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4. Consider a small system S immersed in a large reservoir R. The total system (R...
7) [full weight] Consider two concentric long solenoids (radii R,> R,) with a very thin vacuum...
7) [full weight] Consider two concentric long solenoids (radii R,> R,) with a very thin vacuum in between. Let a time-varying current I(t)= I,e1' flow through the wire of one solenoid, where t is a time constant At -0, calculate the total magnetic energy (per length) stored in this system. Calculate the self inductance (per length) of each solenoid (assume the same winding direction and density). For 0, calculate the inducerd E-field everywhere, and the current in the second solenoid...
Problem 2 Consider a general QAM scheme with transmitted symbol s(t) R { pulse shape p()71(7,/2)....
Problem 2 Consider a general QAM scheme with transmitted symbol s(t) R { pulse shape p()71(7,/2). a(n) Apr(t - nT) exp (j2 fet)}, where the t-T./2 Let the constellation be a(n)e {2,-2,2j,-2j,0. 1. What is the appropriate matched filter to apply for this signal. Draw the optimum receiver 2. What is the average energy of the constellation, i.., E,? 3. Assume the the received signal is r(t)= s(t) +n(t), where n(t) is AWGN with variance 1. Find the error probability...
1/9 1 Piping system (14 points) Water is pumped from a reservoir to a large receiver...
1/9 1 Piping system (14 points) Water is pumped from a reservoir to a large receiver vessel which is maintained at p4 6 bar (absolute) through the operation of the pump and a high pressure nitrogen supply that bleeds into the tank through a regulator. The water enters through an opening at the top of the vessel. A drain is provided at the low point in the system. Elevations are as shown. All valves are gate valves (k = 0.15)...
1/9 1 Piping system (14 points) Water is pumped from a reservoir to a large receiver...
1/9 1 Piping system (14 points) Water is pumped from a reservoir to a large receiver vessel which is maintained at p4 6 bar (absolute) through the operation of the pump and a high pressure nitrogen supply that bleeds into the tank through a regulator. The water enters through an opening at the top of the vessel. A drain is provided at the low point in the system. Elevations are as shown. All valves are gate valves (k = 0.15)...
02) Consider a hydrostatic system represented by the thermodynamic variables volume V, pressure P and temperature...
02) Consider a hydrostatic system represented by the thermodynamic variables volume V, pressure P and temperature T. a) Consider entropy S = S(T, V) and derive the equation TdS. Tas = Cvat +T (1) dV. V Show that this equation can be written as follows BT TdS = CydT + PDV where Cv is the thermal capacity at constant volume, B is the isobaric expansiveness and K is isothermal compressibility: b) Consider a gas described by the equation of state...
r е u y C(s) P(s) Figure 2: A unity feedback system. 4 2. In Figure...
r е u y C(s) P(s) Figure 2: A unity feedback system. 4 2. In Figure 2, let L(s) = P(s)C(s) = Answer the following: s(s+2) (a) What is the percentage overshoot PO of the closed-loop step response from r to y? (b) What is ||y(t)||.0 when r(t) = 8(t), i.e., the peak of the impulse response from r to y? (c) What is the energy of the error ||e(t) ||| when r(t) = o(t)? L(S) (d) Let T(S) =...
Question: Consider the following data (Table 1) from a small workshop located at Al-Khobar: Demand/period 10...
Question: Consider the following data (Table 1) from a small workshop located at Al-Khobar: Demand/period 10 10 10 10 Product Route 7-8-6-1-2 6-8-1-2-4 4-3-6-1 4-5-3-6-1 Consider the top view of the department, where the empty circular spots are the possible places to install the above eight machines (no duplication required). In addition to that, the dark blue lines represents the aisles Im Im In Fig-1: The distances between every inters ection on spline is 1 meter. In In In Fig-2:...
PROBLEM #4 (30 pts) Consider a piston cylinder device that contains 87 kg of R-134a initially...
PROBLEM #4 (30 pts) Consider a piston cylinder device that contains 87 kg of R-134a initially at 200 kPa and volume of 12m2. Heat transfer occurs and the volume at state 2 is one-half its original size. (a) Draw the schematic and define your system. (b) Show the energy transfer into/out of your system and write out the E-bal. Do not solve E-Bal: AU-Wb-Q (c) Determine the final temperature, in C (-10.09 C) (d) Find the change in total internal...
Consider the unity-feedback system shown below: R(s) E(s) input: r(t), output: y(t) C(s) P(s) error: e()...
Consider the unity-feedback system shown below: R(s) E(s) input: r(t), output: y(t) C(s) P(s) error: e() r(t) y(t) closed-loop transfer-function: Hyr(sD t the closed-loop transfer-function be Hyr(s) Y (s) R(s) Let the transfer-function of the plant be P(s) 10 s (s 1) (s 5) The open-loop transfer-function is G(s) P(s) C(s) DESIGN OBJECTIVES: Find a controller C(s) such that the following are satisfied i) The closed-loop system is stable. ii) The steady-state error ess due to a unit-ramp input r(t)...
Consider a rectangular bar of thermal conductivity k W/m-K and total length 2L, as shown in...
Consider a rectangular bar of thermal conductivity k W/m-K and
total length 2L, as shown in the figure, is connected to a hot
surface that is at a temperature T1. The connection between the bar
and the surface is imperfect and results in a thermal contact
resistance of R’’ m2-K/W. The width of the rod into the depth of
the paper is W meters and the thickness of the rod is t meters. The
first section of the rod of...
7) [full weight] Consider two concentric long solenoids (radii R,> R,) with a very thin vacuum in between. Let a time-varying current I(t)= I,e1' flow through the wire of one solenoid, where t is a time constant At -0, calculate the total magnetic energy (per length) stored in this system. Calculate the self inductance (per length) of each solenoid (assume the same winding direction and density). For 0, calculate the inducerd E-field everywhere, and the current in the second solenoid...
Problem 2 Consider a general QAM scheme with transmitted symbol s(t) R { pulse shape p()71(7,/2). a(n) Apr(t - nT) exp (j2 fet)}, where the t-T./2 Let the constellation be a(n)e {2,-2,2j,-2j,0. 1. What is the appropriate matched filter to apply for this signal. Draw the optimum receiver 2. What is the average energy of the constellation, i.., E,? 3. Assume the the received signal is r(t)= s(t) +n(t), where n(t) is AWGN with variance 1. Find the error probability...
1/9 1 Piping system (14 points) Water is pumped from a reservoir to a large receiver vessel which is maintained at p4 6 bar (absolute) through the operation of the pump and a high pressure nitrogen supply that bleeds into the tank through a regulator. The water enters through an opening at the top of the vessel. A drain is provided at the low point in the system. Elevations are as shown. All valves are gate valves (k = 0.15)...
1/9 1 Piping system (14 points) Water is pumped from a reservoir to a large receiver vessel which is maintained at p4 6 bar (absolute) through the operation of the pump and a high pressure nitrogen supply that bleeds into the tank through a regulator. The water enters through an opening at the top of the vessel. A drain is provided at the low point in the system. Elevations are as shown. All valves are gate valves (k = 0.15)...
02) Consider a hydrostatic system represented by the thermodynamic variables volume V, pressure P and temperature T. a) Consider entropy S = S(T, V) and derive the equation TdS. Tas = Cvat +T (1) dV. V Show that this equation can be written as follows BT TdS = CydT + PDV where Cv is the thermal capacity at constant volume, B is the isobaric expansiveness and K is isothermal compressibility: b) Consider a gas described by the equation of state...
r е u y C(s) P(s) Figure 2: A unity feedback system. 4 2. In Figure 2, let L(s) = P(s)C(s) = Answer the following: s(s+2) (a) What is the percentage overshoot PO of the closed-loop step response from r to y? (b) What is ||y(t)||.0 when r(t) = 8(t), i.e., the peak of the impulse response from r to y? (c) What is the energy of the error ||e(t) ||| when r(t) = o(t)? L(S) (d) Let T(S) =...
Question: Consider the following data (Table 1) from a small workshop located at Al-Khobar: Demand/period 10 10 10 10 Product Route 7-8-6-1-2 6-8-1-2-4 4-3-6-1 4-5-3-6-1 Consider the top view of the department, where the empty circular spots are the possible places to install the above eight machines (no duplication required). In addition to that, the dark blue lines represents the aisles Im Im In Fig-1: The distances between every inters ection on spline is 1 meter. In In In Fig-2:...
PROBLEM #4 (30 pts) Consider a piston cylinder device that contains 87 kg of R-134a initially at 200 kPa and volume of 12m2. Heat transfer occurs and the volume at state 2 is one-half its original size. (a) Draw the schematic and define your system. (b) Show the energy transfer into/out of your system and write out the E-bal. Do not solve E-Bal: AU-Wb-Q (c) Determine the final temperature, in C (-10.09 C) (d) Find the change in total internal...
Consider the unity-feedback system shown below: R(s) E(s) input: r(t), output: y(t) C(s) P(s) error: e() r(t) y(t) closed-loop transfer-function: Hyr(sD t the closed-loop transfer-function be Hyr(s) Y (s) R(s) Let the transfer-function of the plant be P(s) 10 s (s 1) (s 5) The open-loop transfer-function is G(s) P(s) C(s) DESIGN OBJECTIVES: Find a controller C(s) such that the following are satisfied i) The closed-loop system is stable. ii) The steady-state error ess due to a unit-ramp input r(t)...
Consider a rectangular bar of thermal conductivity k W/m-K and
total length 2L, as shown in the figure, is connected to a hot
surface that is at a temperature T1. The connection between the bar
and the surface is imperfect and results in a thermal contact
resistance of R’’ m2-K/W. The width of the rod into the depth of
the paper is W meters and the thickness of the rod is t meters. The
first section of the rod of...
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