The two segments of the wire in Figure EX27.24 have equal diameters but different conductivities Ï 1 and Ï 2 . Current I passes through this wire. If the conductivities have the ratio...
Wires 1 and 2 are made of the same metal. Wire 2 has twice the length and twice the diameter of wire 1. What are the ratios (a) 2 / 1 of the resistivities (b) R 2 /R 1 of the resistances of the two...
A thin metal cylinder of length L and radius R 1 is coaxial with a thin metal cylinder of length L and a larger radius R 2 . The space between the two coaxial cylinders is filled with a material that...
An oscillator circuit is important to many applications. A simple oscillator circuit can be built by adding a neon gas tube to an RC circuit, as shown in FIGURE CP28.83. Gas is normally a good...
What power is dissipated by the 2 resistor in FIGURE CP28.78? 15 VE 203 12 V FIGURE CP28.78
Large capacitors can hold a potentially dangerous charge long after a circuit has been turned off, so it is important to make sure they are discharged before you touch them. Suppose a 120 F capacitor...
The ammeter in FIGURE P28.52 reads 3.0 A. Find I 1 , I 2 , and . 9.0 V 3.0 ww- 2.0 ww A 3.0 A 1.0 FIGURE P28.52
What is the equivalent resistance between points a and b in FIGURE P28.45? 20 a 12 69 10 0 30 FIGURE P28.45
A 2.0-m-long, 1.0-mm-diameter wire has a variable resistivity given by where x is measured from one end of the wire. What is the current if this wire is connected to the terminals of a 9.0 V battery?...
Two 75 W (120 V) lightbulbs are wired in series, then the combination is connected to a 120 V supply. How much power is dissipated by each bulb?
It seems hard to justify spending $4.00 for a compact fluorescent lightbulb when an ordinary incandescent bulb costs 50. To see if this makes sense, compare a 60 W incandescent bulb lasting 1000...
FIGURE Q28.13 shows the voltage as a function of time of a capacitor as it is discharged (separately) through three different resistors. Rank in order, from largest to smallest, the values of the...
The five identical bulbs in FIGURE EX28.11 are all glowing.The battery is ideal. What is the order of brightness of the bulbs, from brightest to dimmest? Some may be equal. A. P = T > Q = R = SB. P >...
The five identical bulbs in FIGURE EX28.10 are all glowing.The battery is ideal. What is the order of brightness of the bulbs, from brightest to dimmest? Some may be equal. A. P = S > Q = R = TB. P =...
The circuit of FIGURE Q28.4 has two resistors, with R 1 > R 2 . Which of the two resistors dissipates the larger amount of power? Explain. R R2 FIGURE Q28.4
A circuit youre using discharges a 20 F capacitor through an unknown resistor. After charging the capacitor, you close a switch at t = 0 s and then monitor the resistor current with an ammeter. Your...
The capacitor in FIGURE P28.73 begins to charge after the switch closes at t = 0 s. a. What is V C a very long time after the switch has closed?b. What is Q max in terms of , R, and C?c. In this...
A proton and an antiproton collide head-on with equal kinetic energies. Two rays with wavelengths of 0.720 fm are produced. Calculate the kinetic energy of the incident proton.
A packed-bed liquid stripping process will be designed to remove benzene from contaminated wastewater. A liquid wastewater stream containing dissolved benzene of concentration 693 mg benzene/L (mole...
Wastewater contaminated with 1,2,2-trichioroethane (C 2 H 3 C1 3 , molecular weight 133.5 g/gmole) will be treated in a counter current packed tower using contaminant-free air as the stripping gas....
The cooled exhaust gas from a reactor that makes silicon by the chemical vapor deposition of trichlorosilane contains 8.0 mole% anhydrous HC1 vapor and 92.0 mole % hydrogen (H 2 ) gas at 25°C....
An ozone (O 3 ) treatment system is proposed to oxidize organic materials from wastewater. The first step in this process is to dissolve O 3 in the wastewater. The wastewater has been stripped of all...
A packed tower, 2.0 ft in diameter and 4.0 ft in packed height, is used to produce a solution of dissolved oxygen in water for a biochemical process. The tower will be pressured to 5.0 atm with pure...
Beaver Brewing Corporation has received a contract to produce carbonated beverages. A packed-bed absorption tower will be used for dissolving carbon dioxide (CO 2 ) gas into water. In the present...
One advantage of the quantum dot is that, compared to many other fluorescent materials, excited states have relatively long lifetimes (10 ns). What does this mean for the spread in the energy of the...
What is the magnetic field at the position of the dot in FIGURE EX29.5? Give your answer as a vector. y (cm) 2.0 x 10' m/s 1 +) Proton -x (cm) -1 1 -1- FIGURE EX29.5
What is the magnetic field at the position of the dot in FIGURE EX29.6? Give your answer as a vector. y 1.0 cm 2.0 x 10" m/s 1.0 cm Proton FIGURE EX29.6
Point A in FIGURE EX29.15 is 2.0 mm from the wire. What is the magnetic field strength at point A? You can assume that the wire is very long and that all other wires are too far away to contribute to...
Magnetic resonance imaging needs a magnetic field strength of 1.5 T. The solenoid is 1.8 m long and 75 cm in diameter. It is tightly wound with a single layer of 2.0-mm-diameter superconducting wire....
The right edge of the circuit in FIGURE EX29.35 extends into a 50 mT uniform magnetic field. What are the magnitude and direction of the net force on the circuit? ww 10 cm 15 V 1- X B= 50 mT FIGURE...
At what distance on the axis of a current loop is the magnetic field half the strength of the field at the center of the loop? Give your answer as a multiple of R.
What is the magnetic field strength at the center of the semicircle in FIGURE P29.54? R FIGURE P29.54
An electron travels with speed 1.0 Ã 10 7 m/s between the two parallel charged plates shown in FIGURE P29.59. The plates are separated by 1.0 cm and are charged by a 200 V battery. What...
It is shown in more advanced courses that charged particles in circular orbits radiate electromagnetic waves, called cyclotron radiation. As a result, a particle undergoing cyclotron motion with...
a. Derive an expression for the magnetic field strength at distance d from the center of a straight wire of finite length l that carries current I. b. Determine the field strength at the center of a...
A flat, circular disk of radius R is uniformly charged with total charge Q. The disk spins at angular velocity about an axis through its center. What is the magnetic field strength at the center of...
A long, straight conducting wire of radius R has a nonuniform current density J = J 0 r/R, where J 0 is a constant. The wire carries total current I. a. Find an expression for J 0 in terms of I and...
A potential difference of 0.050 V is developed across the 10-cm-long wire of FIGURE EX30.2 as it moves through a magnetic field perpendicular to the page. What are the strength and direction (in or...
The maximum allowable potential difference across a 200 mH inductor is 400 V. You need to raise the current through the inductor from 1.0 A to 3.0 A. What is the minimum time you should allow for...
A 100 mH inductor whose windings have a resistance of 4.0 is connected across a 12 V battery having an internal resistance of 2.0 . How much energy is stored in the inductor?
The switch in FIGURE P30.76 has been open for a long time. It is closed at t = 0 s. What is the current through the 20 resistor a. Immediately after the switch is closed?b. After the switch has been...
The metal wire in FIGURE CP30.82 moves with speed v parallel to a straight wire that is carrying current I. The distance between the two wires is d. Find an expression for the potential difference...
Light from a helium-neon laser ( = 633 nm) illuminates a circular aperture. It is noted that the diameter of the central maximum on a screen 50 cm behind the aperture matches the diameter of the...
A triple-slit experiment consists of three narrow slits, equally spaced by distance d and illuminated by light of wavelength l. Each slit alone produces intensity I 1 on the viewing screen at...
FIGURE P33.36 shows the light intensity on a screen behind a double slit. The slit spacing is 0.20 mm and the wavelength of the light is 620 nm. What is the distance from the slits to the screen?...
A double-slit interference pattern is created by two narrow slits spaced 0.25 mm apart. The distance between the first and the fifth minimum on a screen 60 cm behind the slits is 5.5 mm. What is the...
a. Green light shines through a 100-mm-diameter hole and is observed on a screen. If the hole diameter is increased by 20%, does the circular spot of light on the screen decrease in diameter,...
The telecommunication circuit shown in FIGURE CP32.71 has a parallel inductor and capacitor in series with a resistor. a. Use a phasor diagram to show that the peak current through the resistor is b....
a. Show that the peak inductor voltage in a series RLC circuit is maximum at frequency b. A series RLC circuit with Ô 0 = 10.0 V consists of a 1.0 Ω resistor, a 1.0 μH...
A generator consists of a 12-cm by 16-cm rectangular loop with 500 turns of wire spinning at 60 Hz in a 25 mT uniform magnetic field. The generator output is connected to a series RC circuit...
FIGURE P32.47 shows a parallel RC circuit. a. Use a phasor-diagram analysis to find expressions for the peak currents I R and I C . b. Complete the phasor analysis by finding an expression for the...
Scientists in the laboratory create a uniform electric field E =1.0 10 6 kn V/m in a region of space where B = 0. What are the fields in the reference frame of a rocket traveling in the positive...
A rocket zooms past the earth at v = 2.0 10 6 m/s. Scientists on the rocket have created the electric and magnetic fields shown in FIGURE EX31.5. What are the fields measured by an earthbound...
A laser beam is incident on the left mirror in FIGURE EX34.8. Its initial direction is parallel to a line that bisects the mirrors. What is the angle Ï of the reflected laser beam? 80 FIGURE...
A 1.0-cm-thick layer of water stands on a horizontal slab of glass. A light ray in the air is incident on the water 60 from the normal. What is the rays direction of travel in the glass?
The glass core of an optical fiber has an index of refraction 1.60. The index of refraction of the cladding is 1.48. What is the maximum angle a light ray can make with the wall of the core if it is...
A camera has a circular aperture immediately behind the lens. Reducing the aperture diameter to half its initial value will A. Make the image blurry. B. Cut off the outer half of the image and leave...
An object is 60 cm from a screen. What are the radii of a symmetric converging plastic lens (i.e., two equally curved surfaces) that will form an image on the screen twice the height of the object?
Two immiscible Newtonian liquids flow steadily between two large parallel plates under the influence of an applied pressure gradient. The lower plate is fixed while the upper one is pulled with a...
Water enters a centrifugal pump axially at atmospheric pressure at a rate of 0.09 m 3 /s and at a velocity of 5 m/s, and leaves in the normal direction along the pump casing, as shown in Fig....
Water is flowing through a 10-cm-diameter water pipe at a rate of 0.1 m 3 /s. Now a diffuser with an outlet diameter of 20 cm is bolted to the pipe in order to slow down water, as shown in Fig....
Consider steady developing laminar flow of water in a constant-diameter horizontal discharge pipe attached to a tank. The fluid enters the pipe with nearly uniform velocity V and pressure P 1 . The...
An incompressible fluid of density and viscosity flows through a curved duct that turns the flow 180?. The duct cross-sectional area remains constant. The average velocity, momentum flux correction...
A constant-velocity horizontal water jet from a stationary nozzle impinges normally on a vertical flat plate that rides on a nearly frictionless track. As the water jet hits the plate, it begins to...
A horizontal water jet from a nozzle of constant exit cross section impinges normally on a stationary vertical flat plate. A certain force F is required to hold the plate against the water stream. If...
A horizontal 5-cm-diameter water jet with a velocity of 18 m/s impinges normally upon a vertical plate of mass 1000 kg. The plate rides on a nearly frictionless track and is initially stationary....
A 100-ft 3 /s water jet is moving in the positive x-direction at 18 ft/s. The stream hits a stationary splitter, such that half of the flow is diverted upward at 45? and the other half is directed...
Explain the importance of the Reynolds transport theorem in fluid mechanics, and describe how the linear momentum equation is obtained from it.
A pressurized tank of water has a 10-cm-diameter orifice at the bottom, where water discharges to the atmosphere. The water level is 2.5 m above the outlet. The tank air pressure above the water...
An airplane is flying at an altitude of 12,000 m. Determine the gage pressure at the stagnation point on the nose of the plane if the speed of the plane is 300 km/h. How would you solve this problem...
An oil pump is drawing 25 kW of electric power while pumping oil with r = 860 kg/m 3 at a rate of 0.1 m 3 /s. The inlet and outlet diameters of the pipe are 8 cm and 12 cm, respectively. If the...
Air at 105 kPa and 37?C flows upward through a 6-cm-diameter inclined duct at a rate of 65 L/s. The duct diameter is then reduced to 4 cm through a reducer. The pressure change across the reducer is...
How is the location of the hydraulic grade line determined for open-channel flow? How is it determined at the outlet of a pipe discharging to the atmosphere?
The water level in a tank is 20 m above the ground. A hose is connected to the bottom of the tank, and the nozzle at the end of the hose is pointed straight up. The tank is at sea level, and the...
(a) What is the speed of a proton that has total energy 1000 GeV? (b) What is the angular frequency Ï of a proton with the speed calculated in part (a) in a magnetic field of 4.00 T? Use both...
Consider laminar flow of a fluid through a square channel with smooth surfaces. Now the average velocity of the fluid is doubled. Determine the change in the head loss of the fluid. Assume the flow...
Repeat Prob. 1437 for turbulent flow in smooth pipes for which the friction factor is given as f = 0.184Re -0.2. What would your answer be for fully turbulent flow in a rough pipe?
Consider flow from a water reservoir through a circular hole of diameter D at the side wall at a vertical distance H from the free surface. The flow rate through an actual hole with a sharp-edged...
A 2.4-m-diameter tank is initially filled with water 4 m above the center of a sharp-edged 10-cm-diameter orifice. The tank water surface is open to the atmosphere, and the orifice drains to the...
A 2.0-cm-tall object is 20 cm to the left of a lens with a focal length of 10 cm. A second lens with a focal length of 15 cm is 30 cm to the right of the first lens. a. Use ray tracing to find the...
A camera takes a properly exposed photo at f/5.6 and 1/125 s. What shutter speed should be used if the lens is changed to f/4.0?
Your task in physics laboratory is to make a microscope from two lenses. One lens has a focal length of 2.0 cm, the other 1.0 cm. You plan to use the more powerful lens as the objective, and you want...
A laboratory experiment shoots an electron to the left at 0.90c. What is the electrons speed, as a fraction of c, relative to a proton moving to the right at 0.90c?
Consider an oil droplet of mass m and charge q. We want to determine the charge on the droplet in a Millikan-type experiment. We will do this in several steps. Assume, for simplicity, that the charge...
Determine: a. The speed of a 300 eV electron. b. The speed of a 3.5 MeV H+ ion. c. The specific type of particle that has 2.09 MeV of kinetic energy when moving with a speed of 1.0 10 7 m/s.
Electrons, all with the same speed, pass through a tiny 15 nm-wide slit and create a diffraction pattern on a detector 50 mm behind the slit. What is the electrons kinetic energy, in eV, if the...
Consider the electron wave function where x is in cm. a. Determine the normalization constant c. b. Draw a graph of Ï(x) over the interval -2 cm ¤ x ¤ 2 cm. Provide numerical...
Consider the electron wave function a. Determine the normalization constant c. Your answer will be in terms of L.b. Draw a graph of (x) over the interval -L ?? x ?? 2L.c. Draw a graph of |(x)| 2 over...
Consider the electron wave function where x is in nm.a. Determine the normalization constant c.b. Draw a graph of (x) over the interval -5 nm ?? x ?? 5 nm. Provide numerical scales on both axes.c....
A particle confined in a rigid one-dimensional box of length 10 fm has an energy level E n = 32.9 MeV and an adjacent energy level E n+1 = 51.4 MeV. a. Determine the values of n and n + 1. b. Draw an...
Consider a particle in a rigid box of length L. For each of the states n = 1, n = 2, and n = 3: a. Sketch graphs of |(x)| 2 . Label the points x = 0 and x = L. b. Where, in terms of L, are the...
The incident voltage wave on a certain lossless transmission line for which Z 0 = 50 and p = 2 10 8 m/s is V + (z, t) = 200 cos(t z) V. (a) Find . (b) Find I + (z, t). The section of line for...
In a laminar flow through a circular tube of radius of R, the velocity and temperature profiles at a cross section are given by u = u 0 (1 - r 2 /R 2 ) and T(r) = A + Br 2 - Cr 4 where A, B and C are...
In a meat processing plant, 2-cm-thick steaks (k = 0.45 W/mK and = 0.91 10 -7 m 2 /s) that are initially at 25C are to be cooled by passing them through a refrigeration room at -11C. The heat...
Two water reservoirs A and B are connected to each other through a 40-m-long, 2-cm-diameter cast iron pipe with a sharp-edged entrance. The pipe also involves a swing check valve and a fully open...
A certain part of cast iron piping of a water distribution system involves a parallel section. Both parallel pipes have a diameter of 30 cm, and the flow is fully turbulent. One of the branches (pipe...
A spherical vessel, 3.0 m in diameter (and negligible wall thickness), is used for storing a fluid at a temperature of 0C. The vessel is covered with a 5.0-cm-thick layer of an insulation (k = 0.20...
A submarine can be treated as an ellipsoid with a diameter of 5 m and a length of 25 m. Determine the power required for this submarine to cruise horizontally and steadily at 40 km/h in seawater...
Two pin fins are identical, except that the diameter of one of them is twice the diameter of the other. For which fin is the (a) fin effectiveness (b) fin efficiency higher? Explain.
A 4-mm-diameter and 10-cm-long aluminum fin (k = 237 W/m·K) is attached to a surface. If the heat transfer coefficient is 12 W/m 2 ·K, determine the percent error in the rate of heat...