Two delicate devices are rated as shown in Fig. 2.142 . Find the values of the resistors R 1 and R 2 needed to power the devices using a 36-V battery. 60-mA, 2-2 fuse 36 V, 720 mW R1 Device 2 36 V+...
Using Figure 3.88 design a problem to help students better understand mesh analysis using matrices. 10 30 20 40 30 V3 . 12 +) .
Write the node-voltage equations by inspection and then determine values of V 1 and V 2 in the circuit of Fig. 3.114 . 41x V2 V, 7A 5S 1S 2 S 20 A
For the circuit shown in Fig. 3.113 , write the nodevoltage equations by inspection. 20 k2 50 mA 10 k2 v2 5 k2 V3 10 k2 40 mA 100 mA 5 k2
Design a circuit to amplify the difference between two inputs by 2.5. (a) Use only one op amp. (b) Use two op amps.
The feedback resistor of a three-input averaging summing amplifier is 50 k. What are the values of R 1 , R 2 , and R 3 ?
Using Fig. 5.75 , design a problem to help other students better understand summing amplifiers. Calculate the output voltage due to the summing amplifier shown in Fig. 5.75. V, R1 V2 R2 (+-) Vo V3 R3...
Determine the output of the summing amplifier in Fig. 5.74. 3 V 10 k2 30 kQ 5.4 V 20 k2 -3.5 V Vo 30 k2 +-) to
For the circuit shown in Fig. 5.73 , find the Thevenin equivalent at terminals a-b. R2 Vs R1 + 1)
Using Fig. 5.64 , design a problem to help other students better understand noninverting op amps. Determine i o in the circuit of Fig. 5.64. H'o R3 R2 R, (+I)
Obtain the Thevenin and Norton equivalent circuits of the circuit in Fig. 4.114 with respect to terminals a and b. 20 20 1A (4 201,
Using Fig. 4.113 , design a problem to help other students better understand Norton equivalent circuits. Find the Norton equivalent at terminals a-b of the circuit in Fig. 4.113. R2 R1 R3 ob
Given that I = 6 amps when V s = 160 volts and I s = 10 amps and I = 5 amp when V s = 200 volts and I s = 0, use superposition and linearity to determine the value of I when V s = 120 volts and I s =...
Calculate the current i o in the circuit of Fig. 4.69. What value of input voltage is necessary to make i o equal to 5 amps? 25 2 40 30 V 15 +)
The current in a 150-mH inductor increases from 0 to 60 mA (steady state). How much energy is stored in the inductor?
The current through a 12-mH inductor is 4 sin 100t A. Find the voltage, and the energy stored at t = /200 s.
The voltage across a 5-mF capacitor is shown in Fig. 6.47 . Determine the current through the capacitor. v (t) (V) A 16 t (us) 2 3 4 3.
Design a voltage controlled ideal current source (within the operating limits of the op amp) where the output current is equal to 200 v s (t) A.
Determine the load voltage v L in the circuit of Fig. 5.99 . 50 k2 10 k2 5 k2 4 k2 5.4 V +,
A small velocity probe is to be inserted through a pipe wall. If we measure from the outside of the DN 150 Schedule 80 pipe, how far (in mm) should the probe be inserted to sense the average velocity...
Water at 10°C is flowing in the shell shown in Fig. 9.18 at the rate of 850 L/min. The shell is a 50 mm OD Ã 1.5 mm wall copper tube and the inside tubes are 15 mm OD Ã 1.2 mm wall...
Refer to the shell-and-tube heat exchanger shown in Fig. 9.13. The outer tube has an OD of 7/8 in and the OD of the inner tube is ½ in. Both tubes are standard steel tubes with 0.049-in wall...
A piping system for a pump contains a tee, as shown in Fig. 10.34, to permit the pressure at the outlet of the pump to be measured. However, there is no flow into the line leading to the gage....
Determine the energy loss when 0.04 m 3 /s of water flows from a DN 150 standard Schedule 40 pipe into a large reservoir.
A 6-in plastic diaphragm valve carries 1500 gal/min of liquid propane at 77F. Compute the expected pressure drop across the valve.
In a processing plant, ethylene glycol at 77F is flowing in a 6-in coated ductile iron pipe having a length of 5000 ft. Over this distance, the pipe falls 55 ft and the pressure drops from 250 psig...
Work Problem 12.4 using PIPE-FLO software. Display the volume flow rate in each branch and all other relevant values on the FLO-Sheet .
The Earth has a radius of 6.4 10 6 m and completes one revolution about its axis in 24 h. (a) Find the speed of a point at the equator. (b) Find the speed of New York City.
For the op amp circuit in Fig. 7.134 , find v o (t) for t > 0. 25 mF t= 0 100 k2 10 k2 20 k2 Vo +1
Find the voltage across the capacitor as a function of time for t > 0 for the circuit in Fig. 8.72 . Assume steady-state conditions exist at t = 0 . t= 0 100 v (+ 0.25 H 1F ell
Calculate i(t) for t > 0 in the circuit of Fig. 8.82 . + v - 16 35u(-t) V (+ 5
Using Fig. 8.83 , design a problem to help other students better understand the step response of series RLC circuits. Determine v(t) for t > 0 in the circuit in Fig. 8.83. Ot= 0 V, V2 C= +1.
For the network in Fig. 8.89 , find i(t) for t > 0. 1H 3 all i(t) 40u(t) A (4 20 V(+ 40 mF
A current source in a linear circuit has i s = 15 cos (25 t + 25) A (a) What is the amplitude of the current? (b) What is the angular frequency? (c) Find the frequency of the current. (d) Calculate...
Using Fig. 9.43 , design a problem to help other students better understand impedance. In the circuit in Fig. 9.43 , determine i. Let v s = 60 cos(200t - 10°) V. R1 R3 R2 Vs (+1
For a given centrifugal pump, if the speed of rotation of the impeller is cut in half, how does the power required to drive the pump change?
For a given centrifugal pump, if the speed of rotation of the impeller is cut in half, how does the total head capability change?
For a given centrifugal pump, if the speed of rotation of the impeller is cut in half, how does the capacity change?
Referring to the Dove prism in Fig. 5.73, rotate it through 90° about an axis along the ray direction. Sketch the new configuration and determine the angle through which the image is rotated....
A homemade telephoto lens (Fig. P.5.86) consists of two spherical mirrors. The radius of curvature is 2.0 m for the primary (the big mirror) and 60 cm for the secondary (the small mirror). How far...
Manets painting A Bar at the Folies Bergères (Fig. P.5.63) shows a girl standing in front of a large planar mirror. Reflected in it is her back and a man in evening dress with whom she...
Examine Velásquezs painting of Venus and Cupid (Fig. P.5.62). Is Venus looking at herself in the mirror? Explain. Fig. P.5.62
Compute the image location and magnification of an object 30 cm from the front doublet of the thin-lens combination in Fig. P.5.47. Do the calculation by finding the effect of each lens separately....
A biconcave lens (n l = 1.5) has radii of 20 cm and 10 cm and an axial thickness of 5 cm. Describe the image of an object 1-inch tall placed 8 cm from the first vertex. Use the thin-lens equation to...
Saturn makes one complete orbit of the Sun every 29.4 years. Calculate the radius of the orbit of Saturn.
Figure P2.27 shows the velocity???time curve of a falling brick. Make a careful estimate of the slope to find the acceleration of the brick at t 5 3.0 s. Figure P2.27 ? 0+i-23456- t (s) - 10- -20 -30...
Return to Problem 5.7 and suppose we cut off the medium on the right, forming a thick water biconvex lens, with each surface having a radius of curvature of 5.00 cm. If the lens is 10.0 cm thick,...
A rock of mass m = 1.5 kg is tied to a string of length L = 2.0 m and is twirled in a vertical circle as shown in Figure 5.10. The speed v of the rock is constant; that is, it is the same at the top...
Imagine two identical double-convex thick lenses separated by a distance of 20 cm between their adjacent vertices. Given that all the radii of curvature are 50, the refractive indices are 1.5, and...
A convex-planar lens of index 3/2 has a thickness of 1.2 cm and a radius of curvature of 2.5 cm. Determine the system matrix when light is incident on the curved surface.
A concave-planar glass (n = 1.50) lens in air has a radius of 10.0 cm and a thickness of 1.00 cm. Determine the system matrix and check that its determinant is 1. At what positive angle (in radians...
Referring back to Fig. 6.18a, show that when PÌ'CÌ = Rn 2 /n 1 and PÌCÌ = Rn 1 /n 2 all rays originating at P appear to come from P'. Fig. 6.18a 2 R- R
A full subtracter computes the difference of three inputs X, Y, and B in , where Diff = X - Y - B in . When X < (Y + B in ), the borrow output B out is set. Fill in the truth table for the subtracter...
(a) Find all the static hazards in the following circuit. State the condition under which each hazard can occur. (b) Redesign the circuit so that it is free of static hazards. Use gates with at most...
Construct a clocked D flip-flop, triggered on the rising edge of CLK, using two transparent D latches and any necessary gates. Complete the following timing diagram, where Q 1 and Q 2 are latch...
(a) Implement the traffic-light controller of Figure 4-14 using a module 13 counter with added logic. The counter should increment every clock, with two exceptions. Use a ROM to generate the outputs....
Find a minimum-row PLA table to implement the following sets of functions: (a) f 1 (A, B, C, D) = m(0, 2, 3, 6, 7, 8, 9, 11, 13), f 2 (A, B, C, D) = m(3, 7, 8, 9, 13), f 3 (A, B, C, D) = m(0, 2, 4,...
The magnetic poles of the earth are called geomagnetic poles. Is the north geomagnetic pole a north magnetic pole or a south magnetic pole?
Determine the Laplace transform of 3.5 cos (5t 45).
A parallel resonance circuit has a resistance of 2 k and half-power frequencies of 86 kHz and 90 kHz. Determine: (a) The capacitance (b) The inductance (c) The resonant frequency (d) The bandwidth...
It is expected that a parallel RLC resonant circuit has a midband admittance of 25 10 3 S, quality factor of 120, and a resonant frequency of 200 krad/s. Calculate the values of R, L, and C. Find...
Find the transfer function H(Ï) with the Bode magnitude plot shown in Fig. 14.74 . H (dB) -20 dB/decade 20 -20 @ (rad/s) 2 20 100
Given I 2 = 2 A, determine the value of Is in Fig. 13.106 . 1:5 10 125 2
Using Fig. 14.80 , design a problem to help other students better understand the quality factor, the resonant frequency, and bandwidth of RLC circuits. For the circuits in Fig. 14.80, find the...
A 2402,400-V rms step-up ideal transformer delivers 50 kW to a resistive load. Calculate: (a) The turns ratio. (b) The primary current. (c) The secondary current.
Find the Thevenin equivalent to the left of the load Z in the circuit of Fig. 13.87 . k = 0.5 -j4 2 j2 N ell Ej20 2 j5 Q 440/0 V (+ 4 +j6 Q
Using Fig. 13.73 , design a problem to help other students better understand mutual inductance. Determine the inductance of the three series-connected inductors of Fig. 13.73. M23 M12 ll ll ll L
For the three coupled coils in Fig. 13.72 , calculate the total inductance. 4 H 10 H ele 16 H ell 20 H 12 H
The Thevenin impedance of a source is Z Th = 120 + j60 , while the peak Thevenin voltage is V Th = 165 + j0 V. Determine the maximum available average power from the source.
Using Fig. 11.36 , design a problem to help other students better understand instantaneous and average power. Find the average power dissipated by the resistances in the circuit of Fig. 11.36....
Using Fig. 10.95 , design a problem to help other students understand source transformation. Use source transformation to find v o in the circuit in Fig. 10.95. R1 all R2 Vo v(t) +1)
Use mesh analysis to determine current I o in the circuit of Fig. 10.79 below. lo j60 2 20 2 80 2 ll -j40 2 -j40 2 50/120 V 30/-30 V
A flow nozzle similar to that shown in Fig. 15.4 is used to measure the flow of water at 120F. The pipe is 6-in Schedule 80 steel. The nozzle diameter is 3.50 in. Determine the pressure difference...
Repeat Problem 14.6 for a depth of 3.50 in. Repeat Problem Compute the hydraulic radius for the section shown in Fig. 14.19 if water flows at a depth of 2.0 in. The section is that of a rain gutter...
Using Fig. 19.97 , design a problem to help other students better understand how to find g parameters in an ac circuit. Find the g parameters for the circuit in Fig.19.97. -jXc jXL
Using Fig. 17.51 , design a problem to help other students better understand how to determine the exponential Fourier series from a periodic wave shape. Obtain the exponential Fourier series of the...
Determine i(t) for t > 0 in the circuit of Fig. 16.66 . t = 0 Li(t) 5 H3 2% F 36 V (+ 5
Given the circuit in Fig. 16.65 , find i(t) and v(t) for t > 0. i(t) 1H v(t) 1 2 t = 0 180 V (+ 1/4 ll
In the circuit of Fig. 16.63 , find v(t) and i(t) for t > 0. Assume v(0) = 0 V and i(0) = 1.25 A. 5u(t) A + 0.5 F 1H ll
Find v o (t), for all t > 0, in the circuit of Fig. 16.53 . 7u(t) V ) 3.5u(t) A 0.5 F+vo 1H
In the circuit of Fig. 16.44 , the switch moves (make before break switch) from position A to B at t = 0. Find v(t) for all t ¥ 0. t = 0 0.25 H 2.5 A (4 v(t) 0.04 F 10 2
A bomb that is initially at rest breaks into several pieces of approximately equal mass, two of which are shown with their velocity vectors in Figure Q7.1. Use conservation of momentum to determine...
Two crates of mass m 1 = 40 kg and m 2 = 15 kg are connected by a mass less rope that passes over a mass less, friction less pulley as shown in Figure P6.45. The crates start from rest. (a) Add a...
A horizontal force of 15 N pulls a block of mass 3.9 kg across a level floor. The coefficient of kinetic friction between the block and the floor is K = 0.25. If the block begins with a speed of 8.0...
Consider an object undergoing uniform circular motion. We know from Chapter 5 that circular motion is caused by a force that is directed toward the center of the circle. What is the work done by this...
Figure P.7.21 shows a carrier of frequency vc being amplitude modulated by a sine wave of frequency Ï m , that is, E = E 0 (1 + α cos Ï m t) cos Ï c t Show that this is...
Consider the periodic function defined over one wavelength by (x) = (kx) 2 where - < kx < which repeats over and over again with a period of 2. Draw a diagram of (x) and determine the corresponding...
Take the function Æ(θ) = θ 2 in the interval 0 < θ < 2Ï and assume it repeats itself with a period of 2Ï . Now show that the Fourier expansion...
Change the upper limit of Eq. (7.59) from to α and evaluate the integral. Leave the answer in terms of the so-called sine integral: which is a function whose values are commonly...
A bulk liquid transport truck incorporates a cylindrical tank 2 m in diameter and 8 m long. For the tank alone, calculate the pressure drag when the truck is traveling at 100 km/h in still air at 0C.
Determine the wind velocity required to overturn the mobile home sketched in Fig. 17.14 if it is 10 m long and weighs 50 kN. Consider it to be a square cylinder. The width of each tire is 300 mm. The...
A ship tows an instrument in the form of a 30 cone, point first, at 7.5 m/s in seawater. If the base of the cone has a diameter of 2.20 m, calculate the force in the cable to which the cone is...
Repeat Problem 16.29, except with the blade rotating as a part of the wheel at a radius of 200 mm and with a linear tangential velocity ranging from 0 to 25 m/s in 5-m/s steps. Repeat Problem Figure...
A part of an inspection system in a packaging operation uses a jet of air to remove imperfect cartons from a conveyor line, as shown in Fig. 16.19. The jet is initiated by a sensor and timed so that...
Calculate the force required to hold a flat plate in equilibrium perpendicular to the flow of water at 25 m/s issuing from a 75-mm-diameter nozzle.
For the conditions of Problem 18.37, compute the magnitude of the sonic velocity in the nozzle. In Problem Air flows from a large tank through a smooth convergent nozzle into the atmosphere, where...
Assume that Fig. 17.11 shows the performance of the wing on the race car shown in Fig. 17.15. Note that it is mounted in the inverted position, so the lift pushes down to aid in skid resistance....
A bullet of mass 15 g is fired with an initial speed of 300 m/s into a wooden block that is initially at rest. The bullet becomes lodged in the block, and the bullet and block then slide together on...
Newtons rings are observed on a film with quasimonochromatic light that has a wavelength of 500 nm. If the 20th bright ring has a radius of 1.00 cm, what is the radius of curvature of the lens...
A wedge-shaped air film between two flat sheets of glass is illuminated from above by sodium light ( 0 = 589.3 nm). How thick will the film be at the center of the 173rd bright fringe (counted from...