University Physics (14th Edition)
14th Edition
ISBN: 9780133969290
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 27, Problem 27.50E
To determine
The density of the free electrons in the unknown metal.
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A stream of electrons with a linear number density of 3.10 x 1011 electrons/meter are accelerated from rest
by a 62.0-V potential difference applied across two parallel plates. The electrons then pass through an
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(a) What is the magnitude of the electric field between the plates if they are 2.07 m apart?
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(b) What is the final velocity of each electron?
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(c) What is the beam current?
A
A Hall probe serves to measure magnetic field strength. One such probe consists of a poor conductor 0.135 mm thick, whose charge‑carrier density is 1.01×1025 m−3. When a 1.97 A current flows through the probe, the Hall voltage is measured to be 4.29 mV. The elementary charge ?=1.602×10−19 C.
What is the magnetic field strength ??
Two long, parallel wiresseparated by a distance 2d carryequal currents in the same direction.An end view of the two wiresis shown in Figure P19.54, wherethe currents are out of the page.(a) What is the direction of themagnetic field at P on the x - axisset up by the two wires? (b) Find anexpression for the magnitude of thefield at P. (c) From your result to part (b), determine the fieldat a point midway between the two wires. Does your resultmeet with your expectation? Explain.
Chapter 27 Solutions
University Physics (14th Edition)
Ch. 27 - Can a charged particle move through a magnetic...Ch. 27 - Prob. Q27.2DQCh. 27 - Section 27.2 describes a procedure for finding the...Ch. 27 - The magnetic force on a moving charged particle is...Ch. 27 - A charged particle is fired into a cubical region...Ch. 27 - If the magnetic force does no work on a charged...Ch. 27 - A charged particle moves through a region of space...Ch. 27 - How might a loop of wire carrying a current be...Ch. 27 - How could the direction of a magnetic field be...Ch. 27 - A loose, floppy loop of wire is carrying current...
Ch. 27 - Prob. Q27.11DQCh. 27 - Each of the lettered points at the corners of the...Ch. 27 - A student claims that if lightning strikes a metal...Ch. 27 - Prob. Q27.14DQCh. 27 - The magnetic force acting on a charged particle...Ch. 27 - When the polarity of the voltage applied to a dc...Ch. 27 - Prob. Q27.17DQCh. 27 - Prob. Q27.18DQCh. 27 - A particle with a charge of 1.24 108C is moving...Ch. 27 - A particle of mass 0.195 g carries a charge of...Ch. 27 - In a 1.25-T magnetic field directed vertically...Ch. 27 - A particle with mass 1.81 103 kg and a charge of...Ch. 27 - An electron experiences a magnetic force of...Ch. 27 - An electron moves at 1.40 106m/s through a region...Ch. 27 - CP A particle with charge 7.80 C is moving with...Ch. 27 - CP A particle with charge 5.60 nC is moving in a...Ch. 27 - A group of particles is traveling in a magnetic...Ch. 27 - A flat, square surface with side length 3.40 cm is...Ch. 27 - A circular area with a radius of 6.50 cm lies in...Ch. 27 - A horizontal rectangular surface has dimensions...Ch. 27 - An open plastic soda bottle with an opening...Ch. 27 - Prob. 27.14ECh. 27 - An election at point A in Fig. E27.15 has a speed...Ch. 27 - Repeat Exercise 27.15 for the case in which the...Ch. 27 - CP A 150-g ball containing 4.00 108 excess...Ch. 27 - An alpha particle (a He nucleus, containing two...Ch. 27 - In an experiment with cosmic rays, a vertical beam...Ch. 27 - BIO Cyclotrons are widely used in nuclear medicine...Ch. 27 - Prob. 27.21ECh. 27 - In a cyclotron, the orbital radius of protons with...Ch. 27 - An electron in the beam of a cathode-ray tube is...Ch. 27 - A beam of protons traveling at 1.20 km/s enters a...Ch. 27 - A proton (q = 1.60 1019 C, m = 1.67 1027 kg)...Ch. 27 - A singly charged ion of 7Li (an isotope of...Ch. 27 - Prob. 27.27ECh. 27 - Prob. 27.28ECh. 27 - A 150-V battery is connected across two parallel...Ch. 27 - A singly ionized (one electron removed) 40K atom...Ch. 27 - Singly ionized (one electron removed) atoms are...Ch. 27 - In the Bainbridge mass spectrometer (see Fig....Ch. 27 - Prob. 27.33ECh. 27 - A straight, 2.5-m wire carries a typical household...Ch. 27 - A long wire carrying 4.50 A of current makes two...Ch. 27 - An electromagnet produces a magnetic field of...Ch. 27 - A thin, 50.0-cm-long metal bar with mass 750 g...Ch. 27 - A straight, vertical wire carries a current of...Ch. 27 - Prob. 27.39ECh. 27 - The plane of a 5.0 cm X 8.0 cm rectangular loop of...Ch. 27 - The 20.0 cm 35.0 cm rectangular circuit shown in...Ch. 27 - A rectangular coil of wire, 22.0 cm by 35.0 cm and...Ch. 27 - CP A uniform rectangular coil of total mass 212 g...Ch. 27 - Both circular coils A and B (Fig. E27.44) have...Ch. 27 - Prob. 27.45ECh. 27 - Prob. 27.46ECh. 27 - Prob. 27.47ECh. 27 - A dc motor with its rotor and field coils...Ch. 27 - Figure E27.49 shows a portion of a silver ribbon...Ch. 27 - Prob. 27.50ECh. 27 - When a particle of charge q 0 moves with a...Ch. 27 - A particle with charge 7.26 108C is moving in a...Ch. 27 - Prob. 27.53PCh. 27 - Prob. 27.54PCh. 27 - Prob. 27.55PCh. 27 - The magnetic poles of a small cyclotron produce a...Ch. 27 - A particle with negative charge q and mass m =...Ch. 27 - A particle of charge q 0 is moving at speed in...Ch. 27 - Suppose the electric field between the plates in...Ch. 27 - Mass Spectrograph. A mass spectrograph is used to...Ch. 27 - A straight piece of conducting wire with mass M...Ch. 27 - CP A 2.60-N metal bar, 0.850 m long and having a...Ch. 27 - BIO Determining Diet. One method for determining...Ch. 27 - CP A plastic circular loop has radius R, and a...Ch. 27 - Prob. 27.65PCh. 27 - A wire 25.0 cm long lies along the z-axis and...Ch. 27 - A long wire carrying 6.50 A of current makes two...Ch. 27 - The rectangular loop shown in Fig. P27.68 is...Ch. 27 - Prob. 27.69PCh. 27 - Prob. 27.70PCh. 27 - The loop of wire shown in Fig. P27.71 forms a...Ch. 27 - CP A uniform bar has mass 0.0120 kg and is 30.0 cm...Ch. 27 - CALC A Voice Coil. It was shown in Section 27.7...Ch. 27 - Prob. 27.74PCh. 27 - CALC Force on a Current Loop in a Nonuniform...Ch. 27 - Quark Model of the Neutron. The neutron is a...Ch. 27 - A circular loop of wire with area A lies in the...Ch. 27 - DATA You are using a type of mass spectrometer to...Ch. 27 - Prob. 27.79PCh. 27 - DATA You are a technician testing the operation of...Ch. 27 - A particle with charge 2.15 C and mass 3.20 1011...Ch. 27 - Prob. 27.82CPCh. 27 - If a proton is exposed to an external magnetic...Ch. 27 - BIO MAGNETIC FIELDS AND MRI. Magnetic resonance...Ch. 27 - The large magnetic fields used in MRI can produce...
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- A Hall probe serves to measure magnetic field strength. One such probe consists of a poor conductor 0.121 mm thick, whose charge‑carrier density is 1.27×1025 m−3. When a 1.77 A current flows through the probe, the Hall voltage is measured to be 3.15 mV. The elementary charge e=1.602×10−19 C. What is the magnetic field strength B?arrow_forwarda. b. For a current distribution in free space, Ã= (2x²y + y²)⸠+(xy² − xz³)â‚ − (6xyz – 2x²y²)⸠Wb/m . Show that A is a Maxwell's equation. Justify your answers. An x-y plane is an interface between two media. The interface carries current of 1/μ â, mA/m. The relative permeability for the regions are 6 and 4 respectively. The magnetic flux density of region with relative permeability of 4 is 5⸠+8â mWb/m². i. Sketch the interface between the two medium. ii. Analyse the media to determine the magnetic fields for both regions and magnetic flux density in the region with relative permeability of 6.arrow_forwardIn an experiment for measuring m ratio, a cathode particle is passing through two deflecting plates maintained at a voltage difference of 40 V and separated by a distance of 2 cm. The cathode particle travelling at right angles to the field moves in a circular path of radius 2m. Determine the kinetic energy of the electron in eV.arrow_forward
- The Hall affect is used to measure the carrier density of a thin sheet of electrons. When a current of 80.0 µA flows through the length of the electron sheet, which is 1.2-mm long, 0.27- mm wide and 12-nm thick, a magnetic field perpendicular to the sheet produces a potential difference of 0.53 mV across the width of the sheet. If the carrier density in the electron sheet is 6.74 x 1025 m-3, what is the magnitude of the magnetic field?arrow_forwardA metallic sheet lies on the xy plane, carries a surface current density K = Ho where μo is the permeability of free space. The B-field just below the sheet is given as B = 2î + 4ĵ + 5k. The questions on this page are based on this scenario. -Ĵ, What is the z-component of the B-field just above the sheet?arrow_forward2*10^20 electrons flows through a cross section of an iron wire of diameter d=5.7mm in time t=13 s. What is the electron drift speed?arrow_forward
- An 80 kg astronaut has gone outside his space capsule to do some repair work. Unfortunately, he forgot to lock his safety tether in place , and he has drifted 5.0 m away from the capsule . Fortunately, he has a 1000 W portable laser with fresh batteries that will operate it for 1.0 h. His only chance is to accelerate him self toward the space capsule by firing the laser in the opposite direction. He has a 10-h supply of oxygen. How long will it take him to reach safety ?arrow_forwardFigure 8 shows a coaxial cable (two nested cylinders) of length l, inner radius a and outer radius b. Note that l >> a and l >> b. The inner cylinder is charged to +Q and the outer cylinder is charged to −Q. The cable carries a current I, which flows clockwise. Use Ampere’s Law to calculate themagnetic field B⃗ at r<a, a<r<b, and r>b.arrow_forwardFigure 8 shows a coaxial cable (two nested cylinders) of length l, inner radius a and outer radiusb. Note that l >> a and l >> b. The inner cylinder is charged to +Q and the outer cylinder ischarged to −Q.The cable carries a current I, which flows clockwise. Use Ampere’s Law to calculate themagnetic field B⃗ at r < a, a < r < b, and r > b.arrow_forward
- If 4.1 \times 1021 electrons pass through a 30 resistor in 7 min, what is the potential difference across the resistor? The fundamental charge is 1.602 \times 10-19 C. Answer in units of V.arrow_forwardThe xy-plane serves as the interface between two different media. Medium 1 (z 0) is filled with a material whose H, = 4. If the interface carries current (1/H) a, mA/m, and B, = 5a, + 8a, mWb/m², find H, and B,. a12 =a, K O H1 =6arrow_forwarda) What would the Hall voltage be (in µV) if a 2.40 T field is applied across a 13-gauge copper wire (1.829 mm in diameter) carrying a 22.0 A current? (Assume the free charge density of copper is 8.342 ✕ 1028 e−/m3.) b)A mirror hangs 1.62 m above the floor on a vertical wall. A ray of sunlight, reflected off the mirror, forms a spot on the floor 1.12 m from the wall. Later in the day, the spot has moved to a point 2.50 m from the wall. What is the change in the angle of elevation of the Sun, between the two observations? c)Components of some computers communicate with each other through optical fibers having an index of refraction n = 1.45. What time in nanoseconds is required for a signal to travel 0.180 m through such a fiber?arrow_forward
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