Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
9th Edition
ISBN: 9781305266292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 30, Problem 50P
To determine
The number of electrons per atom that contribute to the saturated field of iron.
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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 ??
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?
F.j = (-e)(-v,k) × (B,i + B.k)
ev Bzj. Solving for B gives
F.
Br
8.50x10 16 N
= 1.13 T. Therefore B = 1.13 Ti – 0.772 Tk. The magnitude o
A group of particles is traveling in a magnetic field of
unknown magnitude and direction. You observe that a
proton moving at 1.70 km/s in the +x-direction
experiences a force of 2.10x10-16 N in the +y-
direction, and an electron moving at 4.70 km/s in the
eve
(1.60x10 19 C)(4700 m/s)
is B = VB? + B =
(1.13 T)² + (-0.772 T)² = 1.37 T.
-z-direction experiences a force of 8.50x10-16 N in
the +y-direction.
Part B
For related problem-solving tips and strategies, you
may want to view a Video Tutor Solution of Magnetic
force on a proton.
What is the direction of the magnetic field? (in the xz-plane)
Express your answer in degrees.
0 = 60.59
° from the -z-direction to the +x-direction
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Chapter 30 Solutions
Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
Ch. 30.1 - Consider the magnetic field due to the current in...Ch. 30.2 - Prob. 30.2QQCh. 30.3 - Prob. 30.3QQCh. 30.3 - Prob. 30.4QQCh. 30.4 - Consider a solenoid that is very long compared...Ch. 30 - Prob. 1OQCh. 30 - Prob. 2OQCh. 30 - Prob. 3OQCh. 30 - Prob. 4OQCh. 30 - Prob. 5OQ
Ch. 30 - A long, vertical, metallic wire carries downward...Ch. 30 - Suppose you are facing a tall makeup mirror on a...Ch. 30 - Prob. 8OQCh. 30 - Prob. 9OQCh. 30 - Consider the two parallel wires carrying currents...Ch. 30 - Prob. 11OQCh. 30 - A long solenoid with closely spaced turns carries...Ch. 30 - Prob. 13OQCh. 30 - Prob. 14OQCh. 30 - Prob. 15OQCh. 30 - Prob. 1CQCh. 30 - Prob. 2CQCh. 30 - Prob. 3CQCh. 30 - A hollow copper tube carries a current along its...Ch. 30 - Prob. 5CQCh. 30 - Prob. 6CQCh. 30 - Prob. 7CQCh. 30 - Prob. 8CQCh. 30 - Prob. 9CQCh. 30 - Prob. 10CQCh. 30 - Prob. 11CQCh. 30 - Prob. 12CQCh. 30 - Prob. 1PCh. 30 - Prob. 2PCh. 30 - Prob. 3PCh. 30 - Calculate the magnitude of the magnetic field at a...Ch. 30 - Prob. 5PCh. 30 - In Niels Bohrs 1913 model of the hydrogen atom, an...Ch. 30 - Prob. 7PCh. 30 - Prob. 8PCh. 30 - Prob. 9PCh. 30 - Prob. 10PCh. 30 - Prob. 11PCh. 30 - Consider a flat, circular current loop of radius R...Ch. 30 - Prob. 13PCh. 30 - One long wire carries current 30.0 A to the left...Ch. 30 - Prob. 15PCh. 30 - Prob. 16PCh. 30 - Prob. 17PCh. 30 - Prob. 18PCh. 30 - Prob. 19PCh. 30 - Prob. 20PCh. 30 - Prob. 21PCh. 30 - Prob. 22PCh. 30 - Prob. 23PCh. 30 - Prob. 24PCh. 30 - Prob. 25PCh. 30 - Prob. 26PCh. 30 - Prob. 27PCh. 30 - Why is the following situation impossible? Two...Ch. 30 - Prob. 29PCh. 30 - Prob. 30PCh. 30 - Prob. 31PCh. 30 - The magnetic coils of a tokamak fusion reactor are...Ch. 30 - Prob. 33PCh. 30 - An infinite sheet of current lying in the yz plane...Ch. 30 - Prob. 35PCh. 30 - A packed bundle of 100 long, straight, insulated...Ch. 30 - Prob. 37PCh. 30 - Prob. 38PCh. 30 - Prob. 39PCh. 30 - Prob. 40PCh. 30 - A long solenoid that has 1 000 turns uniformly...Ch. 30 - Prob. 42PCh. 30 - Prob. 43PCh. 30 - Prob. 44PCh. 30 - Prob. 45PCh. 30 - Prob. 46PCh. 30 - A cube of edge length l = 2.50 cm is positioned as...Ch. 30 - Prob. 48PCh. 30 - Prob. 49PCh. 30 - Prob. 50PCh. 30 - Prob. 51APCh. 30 - Prob. 52APCh. 30 - Prob. 53APCh. 30 - Why is the following situation impossible? The...Ch. 30 - Prob. 55APCh. 30 - Prob. 56APCh. 30 - Prob. 57APCh. 30 - Prob. 58APCh. 30 - A very large parallel-plate capacitor has uniform...Ch. 30 - Prob. 60APCh. 30 - Prob. 61APCh. 30 - Prob. 62APCh. 30 - Prob. 63APCh. 30 - Prob. 64APCh. 30 - Prob. 65APCh. 30 - Prob. 66APCh. 30 - Prob. 67APCh. 30 - Prob. 68APCh. 30 - Prob. 69CPCh. 30 - Prob. 70CPCh. 30 - Prob. 71CPCh. 30 - Prob. 72CPCh. 30 - Prob. 73CPCh. 30 - Prob. 74CPCh. 30 - Prob. 75CPCh. 30 - Prob. 76CPCh. 30 - Prob. 77CP
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- At saturation, when nearly all the atoms have their magnetic moments aligned, the magnetic field is equal to the permeability constant 0 multiplied by the magnetic moment per unit volume. In a sample of iron, where the number density of atoms is approximately 8.50 1028 atoms/m3, the magnetic field can reach 2.00 T. If each electron contributes a magnetic moment of 9.27 10-24 A m2 (1 Bohr magneton), how many electrons per atom contribute to the saturated Held of iron?arrow_forwardCalculate r2 (column 5) and 1/r2 (column 7).arrow_forwardA 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_forward
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- Coulomb constant, k = 8.987 x 10° N. m? /C. Vacuum permitivity, éo = 8.854 x 10 12 F/m. Magnetic Permeability of vacuum, Ho = 12.5663706144 x 10 H/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10 "C. Mass of one electron, Mhy = 9.10938356 x 10 31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, pµC means micro coulomb. X X YO X X X X X +++++++++++++++ X| X | X E 9 (+) A proton is moving in the a direction in a region of crossed fields as shown in Figure, where the electric field is É = 43 x 10* & N/C and magnetic field B = ( 4900.0) 3T. (Hint: Electric and magnetic force both can apply force on the moving charged particle) a) What is the speed of the proton if it is not deflected? (that is, it moves in a straight line though the fields) b) If the length of the plate is 3.1 m then how much time the proton will take to travels that length? If the proton moves with twice this speed, what is the net force in unit vector notation? (x, y.z…arrow_forwardA magnetic field is applied to a freely floating uniform iron sphere with radius R = 2.00 mm. The sphere initially had no net magnetic moment, but the field aligns 12% of the magnetic moments of the atoms (that is, 12% of the magnetic moments of the loosely bound electrons in the sphere, with one such electron per atom). The magnetic moment of those aligned electrons is the sphere’s intrinsic magnetic moment .What is the sphere’s resulting angular speed v?arrow_forwardUse the following constants if necessary. Coulomb constant, k = 8.987 × 10°N · m²/c². Vacuum permitivity, eo = 8.854 × 10-12F/m. – 12 Magnetic Permeability of vacuum, = 12.566370614356 × 10 ¯/ H|m. Magnitude -7 Ho of the Charge of one electron, e = - 1.60217662 × 10-19 C. Mass of one electron, m. = 9.10938356 × 10-3 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb . Calculate the magnetic field created by an infinite wire carrying current / = 12 mA current at a distance r from the wire B field at r = 10 cm Give your answer up to at least three significance digits. B field at r = 100 cm Give your answer up to at least three significance digits. ト トarrow_forward
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