The amplifier of Problem 9.5 is to be compensated by reducing the magnitude of the most dominant pole. (a) Calculate the dominant-pole magnitude required for unity-gain compensation with 45 phase...

Repeat Problem 9.9 if the circuit is compensated by using shunt capacitance to ground at the input of the second stage. Assume that this affects only the most dominant pole. Data from Prob. 9.9: An...

A conservative force F(vector) is in the +x-direction and has magnitude F(x) = /(x + x 0 ) 2 , where = 0.800 N m 2 and x 0 = 0.200 m. (a) What is the potential-energy function U(x) for this force?...

A differential input stage is shown in Fig. 11.54. (a) Neglecting flicker noise, calculate expressions for the equivalent input noise voltage and current generators at the base of Q 1 . Use SPICE to...

A rope tied to a body is pulled, causing the body to accelerate. But according to Newtons third law, the body pulls back on the rope with a force of equal magnitude and opposite direction. Is the...

A ball is thrown from the edge of a high cliff. Regardless of the angle at which it is thrown, due to air resistance, the ball will eventually end up moving vertically downward. Justify this...

For the circuit of Fig. 9.41, parameter values are R F = 5 kΩ, R E = 50 Ω, and C F = 1.5 pF. The basic amplifier of the circuit is shown in Fig. 9.42 and has two negative real...

A technique that allows the return ratio to be simulated using SPICE without disrupting the dc operating point is shown in Fig. 8.60 and explained in Problem 8.33. (a) Use that technique to simulate...

(a) Find a set of orthonormal basis functions for the signals given below which are defined on the interval -1 t 1: x 1 (t) = t x 2 (t) = t 2 x 3 (t) = t 3 x 4 (t) = t 4 (b) Attempt to provide a...

(a) Find the optimum (matched) filter impulse response h 0 (t), as given by (9.45) for s 1 (t) and s 2 (t), shown in Figure 9.35. (b) Find ζ 2 as given (9.56). Plot ζ 2 versus...

Consider antipodal signaling with amplitude imbalance. That is, a logic 1 is transmitted as a rectangular pulse of amplitude A 1 and duration T, and a logic 0 is transmitted as a rectangular pulse of...

In regions far from the entrance, fluid flow through a circular pipe is one dimensional, and the velocity profile for laminar flow is given by u(r) = u max (1 - r 2 /R 2 ), where R is the radius of...

An object consists of a ball of weight W glued to the end of a uniform bar also of weight W. If you release it from rest, with the bar horizontal, what will its behavior be as it falls if air...

Air flows through a pipe at a rate of 120 L/s. The pipe consists of two sections of diameters 22 cm and 10 cm with a smooth reducing section that connects them. The pressure difference between the...

A 15.0-kg block is attached to a very light horizontal spring of force constant 500.0 N/m and is resting on a frictionless horizontal table (Fig. E8.44). Suddenly it is struck by a 3.00-kg stone...

In-compressible steady flow in the inlet between parallel plates is uniform, V 0 = 8 cm/s, while downstream, the flow develops into the parabolic profile v x = az(z 0 - z), where a is a constant....

The boom shown in Fig. E11.15 weighs 2600 N and is attached to a frictionless pivot at its lower end. It is not uniform; the distance of its center of gravity from the pivot is 35% of its length....

What is the thinnest film of MgF 2 (n = 1.39) on glass that produces a strong reflection for orange light with a wavelength of 600 nm?

FIGURE EX17.5 shows a standing wave oscillating at 100 Hz on a string. What is the wave speed? 50 cm FIGURE EX17.5

Bacteria vary in size, but a diameter of 2.0 m is not unusual. What are the volume (in cubic centimeters) and surface area (in square millimeters) of a spherical bacterium of that size?

How much work is done on the gas in the process shown in Figure EX19.1? p (kPa) 400- 200- V (cm') 0+ 100 200 300 FIGURE EX19.1

500 J of work must be done to compress a gas to half its initial volume at constant temperature. How much work must be done to compress the gas by a factor of 10, starting from its initial volume?

You throw a baseball straight up in the air so that it rises to a maximum height much greater than your height. Is the magnitude of the balls acceleration greater while it is being thrown or after it...

a. 100 J of heat energy are transferred to 20 g of mercury. By how much does the temperature increase? b. How much heat is needed to raise the temperature of 20 g of water by the same amount?

A 65 cm 3 block of iron is removed from an 800C furnace and immediately dropped into 200 mL of 20C water. What fraction of the water boils away?

A container holds 1.0 g of argon at a pressure of 8.0 atm. a. How much heat is required to increase the temperature by 100C at constant volume? b. How much will the temperature increase if this...

The volume of a gas is halved during an adiabatic compression that increases the pressure by a factor of 2.5. a. What is the specific heat ratio g? b. By what factor does the temperature increase?

A dripping water faucet steadily releases drops 1.0 s apart. As these drops fall, does the distance between them increase, decrease, or remain the same? Prove your answer.

A monatomic gas follows the process 1 2 3 shown in Figure EX19.32. How much heat is needed for (a) Process 1 2 (b) Process 2 3? p (atm) 3- 2- 100C isotherm 3 -V (cm) 300 100 200 FIGURE EX19.32

A 6.0-cm-diameter cylinder of nitrogen gas has a 4.0-cm-thick movable copper piston. The cylinder is oriented vertically, as shown in Figure P19.50, and the air above the piston is evacuated. When...

A firefighting crew uses a water cannon that shoots water at 25.0 m/s at a fixed angle of 53.0 above the horizontal. The firefighters want to direct the water at a blaze that is 10.0 m above ground...

When a batted baseball moves with air drag, when does the ball travel a greater horizontal distance? (i) While climbing to its maximum height; (ii) While descending from its maximum height back to...

What is the purpose of the spin cycle of a washing machine? Explain in terms of acceleration components.

Consider a poor lost soul walking at 5 km/h on a hot day in the desert, wearing only a bathing suit. This persons skin temperature tends to rise due to four mechanisms: (i) Energy is generated by...

An ideal gas has a density of 1.33 10 -6 g/cm 3 at 1.00 10 -3 atm and 20.0C. Identify the gas.

A point charge q 1 = +5.00 C is held fixed in space. From a horizontal distance of 6.00 cm, a small sphere with mass 4.00 10 -3 kg and charge q 2 = +2.00 C is fired toward the fixed charge with an...

In the circuit shown in Fig. Q26.4, three identical light bulbs are connected to a flashlight battery. How do the brightnesses of the bulbs compare? Which light bulb has the greatest current passing...

You set up the circuit shown in Fig. 26.20, where C = 5.00 Ã 10 -6 F. At time t = 0, you close the switch and then measure the charge q on the capacitor as a function of the current i in the...

Calculate the magnitude and direction of the magnetic field at point P due to the current in the semicircular section of wire shown in Fig. E28.34. Figure e28.34 R P

Consider the situation in Exercise 29.21. In part (a), find the direction of the force that the large circuit exerts on the small one. Explain how this result is consistent with Lenzs law. Data from...

Define the Stanton and Peclet numbers and their relationships to other dimensionless groups for convection mass transfer.

Which of the quantities listed below are flow properties and which are fluid properties? pressure temperature velocity density stress speed of sound specific heat pressure gradient

If the fluid of density p in Problem 1.3 obeys the perfect gas law, obtain the equation of state of the mixturethat is, P = f (p s , (RT/M) , p m , x). Will this result be valid if a liquid is...

On a certain day the barometric pressure at sea level is 30.1 in. Hg, and the temperature is 70F. The pressure gage in an airplane in flight indicates a pressure of 10.6 psia, and the temperature...

The float in a toilet tank is a sphere of radius R and is made of a material with density p. An upward buoyant force F is required to shut the ballcock valve. The density of water is designated p w ....

A liquid of density r flows through a sluice gate as shown. The upstream and downstream flows are uniform and parallel, so that the pressure variations at stations 1 and 2 may be considered hydro...

A water jet at 60°F with a flow rate of 250 ft 3 /s and a velocity of 75 ft/s hits a stationary V-shaped splitter such that half of the fluid is directed upward and the other half is directed...

In order to maneuver a large ship while docking, pumps are used to issue a jet of water perpendicular to the bow of the ship as shown in the figure. The pump inlet is located far enough away from the...

Assume that the level of water in the tank remains the same and that there is no friction loss in the pipe, entrance, or nozzle. Determine a. The volumetric discharge rate from the nozzle b. The...

Water in an open cylindrical tank 15 ft in diameter discharges into the atmosphere through a nozzle 2 in. in diameter. Neglecting friction and the unsteadiness of the flow, find the time required for...

In Cartesian coordinates, show that may be written (v ¢ ). What is the physical meaning of the term (v ¢ )? + Vz dy

A wide moving belt passes through a container of a viscous liquid. The belt moves vertically upward with constant velocity v w , as illustrated in the figure. Because of viscous forces, the belt...

In a spray column, a liquid is sprayed into a gas stream, and mass is transferred between the liquid and gas phases. The formation of liquid drops from the spray nozzle is considered to be a function...

Consider steady, continuous, in-compressible, fully developed laminar flow of a Newtonian fluid in an infinitely long round pipe of diameter D inclined at an angle a. The fluid is not open to the...

A 0.25 m pump delivers 20C water (P v = 2.34 kPa) at 0.065 m 3 /s and 2000 rpm. The pump begins to cavitate when the inlet pressure is 82.7 kPa and the inlet velocity is 6.1 m/s. Determine the...

Solve Problem 15.1 for the case of the larger cross section exposed to the higher temperature and the smaller end held at 300 K. Data From Problem 15.1 An asbestos pad is square in cross section,...

Determine the heat-transfer rate per square meter of wall area for the case of a furnace with inside air at 1340 K. The furnace wall is composed of a 0.106-m layer of fireclay brick and a 0.635-cm...

Circular fins are employed around the cylinder of a lawn mower engine to dissipate heat. The fins are made of aluminum are 0.3-m thick, and extend 2 cm from base to tip. The outside diameter of the...

A 2-in.-OD stainless steel tube has 16 longitudinal fins spaced around its outside surface as shown. The fins are 1/16-in. thick and extend 1 in. from the outside surface of the tube. a. If the...

A blacktop road surface 18.3 m wide receives solar radiation at the rate of 284 W/m 2 at noon and 95 W/m 2 are lost by re-radiation to the atmosphere. A wind, at 300 K, flows across the road....

Water at 60F enters a 1-in.-ID tube that is used to cool a nuclear reactor. The water flow rate is 30 gal/min. Determine the total heat transfer, the exiting water temperature, and the wall...

Nitrogen at 100F and 1 atm flows at a velocity of 100 fps. A flat plate 6 in. wide, at a temperature of 200F, is aligned parallel to the direction of flow. At a position 4 ft from the leading edge,...

Ammonia (NH 3 ) and hydrogen sulfide (H 2 S) must both be stripped from wastewater in a packed tower before the wastewater can be treated for reuse. Individual mass-transfer coefficients for ammonia...

Air at 60F and atmospheric pressure flows inside a 1-in., 16-BWG copper tube whose surface is maintained at 240F by condensing steam. Find the temperature of the air after passing through 20 ft of...

Cooling water flows through thin-walled tubes in a condenser with a velocity of 1.5 m/s. The tubes are 25.4 mm in diameter. The tube-wall temperature is maintained constant at 370 K by condensing...

A 1.905-cm-diameter brass tube is used to condense steam on its outer surface at 10.13 kPa pressure. Water at 290 K is circulated through the tube. Inside and outside surface coefficients are 1700...

A single tube-pass heat exchanger is to be designed to heat water by condensing steam in the shell. The water is to pass through the smooth horizontal tubes in turbulent flow, and the steam is to be...

An oil having a specific heat of 1880 J/kg K enters a single-pass counter flow heat exchanger at a rate of 2 kg/s and a temperature of 400 K. It is to be cooled to 350 K. Water is available to cool...

A satellite may be considered spherical, with its surface properties roughly those of aluminum. Its orbit may be considered circular at a height of 500 miles above Earth. Taking the satellite...

Water enters a counter flow, double-pipe heat exchanger at a rate of 150 lb m /min and is heated from 60F to 140F by an oil with a specific heat of 0.45 Btu/lb m F. The oil enters at 240F and leaves...

Compressed air is used in a heat-pump system to heat water, which is subsequently used to warm a house. The house demand is 95,000 Btu/h. Air enters the exchanger at 200F and leaves at 120F, and...

Saturated steam at 373 K is to be condensed in a shell- and-tube exchanger; it is to enter as steam at 373 K and leave as condensate at approximately 373 K. If the NTU rating for the condenser is...

In a biofuels plant, a shell-and-tube heat exchanger is used to cool a hot stream of 100% carbon dioxide off-gas from a beer column from 77C to 27C (350 to 300 K) at 1.2 atm total system pressure....

A radiation detector, oriented as shown in the sketch, is used to estimate heat loss through an opening in a furnace wall. The opening in this case is circular with a diameter of 2.5 cm. The detector...

Consider the following properties of the atmosphere of the planet Mars at a particular measurement point on the surface, as measured by the Mars Rover: Average surface pressure: 6.1 mbar Average...

A liquid flows over a thin, flat sheet of a slightly soluble solid. Over the region in which diffusion is occurring, the liquid velocity may be assumed to be parallel to the plate and to be given by...

The design of artificial organs for growing transplant able human tissues require that the cell type of interest, for example pancreatic cells, be grown and sustained within a three-dimensional array...

Consider the diffusion of solute A into the single cylindrical pore shown in the figure below. The end of the pore at z = L is sealed. The pore space is initially filled with inert fluid B. As solute...

A 500 g particle moving along the x-axis experiences the force shown in FIGURE EX9.21. The particles velocity is 2.0 m/s at x = 0 m. What is its velocity at x = 3 m? F; (N) 15 - 10- 5- -x (m) 0- 1...

A particle moving on the x-axis experiences a force given by F x = qx 2 , where q is a constant. How much work is done on the particle as it moves from x = 0 to x = d?

The drug patch shown in the figure in the next column releases a water-soluble epidermal growth factor (species A) to repair a specific region of wounded tissue on the human body. A slow release of...

A bio film reactor with a well-mixed liquid phase shown below will be used to treat wastewater contaminated with trichioroethylene (TCE) at a concentration 0.25 mg/L (1.9 mmole/m 3 , M TCE = 131.4...

Carbon dioxide (CO 2 ) from waste sources is a sustain able feed stock for chemicals production if new technologies can be developed to carry out the reduction of CO 2 , the most oxidized form of...

The transient concentration profile c A (z,t) resulting from transient one-dimensional diffusion in a slab under conditions of negligible surface resistance is described by equation (27.16). Use this...

Spherical polymer beads of 3.0 mm (0.3 cm) diameter contain residual solvent from the polymer-casting process. Initially, the bead contains 0.20 wt% of residual solvent uniformly distributed within...

Living cells immobilized within an agarose gel require glucose to survive. An important aspect of the biochemical system design is the effective diffusion coefficient of glucose into the agarose gel...

The 100 kg block in FIGURE EX7.25 takes 6.0 s to reach the floor after being released from rest. What is the mass of the block on the left? The pulley is massless and frictionless. 100 kg | 1.0 m...

The coefficient of kinetic friction between the 2.0 kg block in FIGURE P7.38 and the table is 0.30. What is the acceleration of the 2.0 kg block? 2.0 kg 3.0 kg 1.0 kg FIGURE P7.38

At a particular location in a counter current stripper for removal of solute A from a liquid stream, the mole fraction of solute A in the gas phase is 0.010, and the mole fraction of this species in...

The 1.0 kg block in FIGURE EX7.24 is tied to the wall with a rope. It sits on top of the 2.0 kg block. The lower block is pulled to the right with a tension force of 20 N. The coefficient of kinetic...

Figure EX26.4 is a graph of E x . The potential at the origin is -50 V. What is the potential at x = 3.0 m? E, (V/m) 200 100 0+ -x (m) 3 1 FIGURE EX26.4 2.

Both batteries in Figure Q27.7 are ideal and identical, and all lightbulbs are the same. Rank in order, from brightest to least bright, the brightness of bulbs a to c. Explain. 000 000 FIGURE Q27.7

a. In FIGURE EX10.27, what minimum speed does a 100 g particle need at point A to reach point B? b. What minimum speed does a 100 g particle need at point B to reach point A? U (J) 5- 2- 0+ B FIGURE...

A particle that can move along the x-axis is part of a system with potential energy where A and B are positive constants. a. Where are the particles equilibrium positions? b. For each, is it a point...

A 200 g ball is dropped from a height of 2.0 m, bounces on a hard floor, and rebounds to a height of 1.5 m. FIGURE P11.41 shows the impulse received from the floor. What maximum force does the floor...

You are given the equation(s) used to solve a problem. For each of these, you are to a. Write a realistic problem for which this is the correct equation(s). b. Finish the solution of the problem,...

A 5.0 kg cat and a 2.0 kg bowl of tuna fish are at opposite ends of the 4.0-m-long seesaw of Figure EX12.32. How far to the left of the pivot must a 4.0 kg cat stand to keep the seesaw balanced? 2.0...

Your task in a science contest is to stack four identical uniform bricks, each of length L, so that the top brick is as far to the right as possible without the stack falling over. Is it possible, as...

What are the speed and altitude of a geosynchronous satellite orbiting Mars? Mars rotates on its axis once every 24.8 hours.

The two stars in a binary star system have masses 2.0 10 30 kg and 6.0 10 30 kg. They are separated by 2.0 10 12 m. What are a. The systems rotation period, in years? b. The speed of each star?