Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 28, Problem 13P
To determine
To find:
Calculate the hall potential difference V across the width of the strip.
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A strip of copper 150 mm thick and 4.5 mm wide is placed in a uniform magnetic field of magnitude 0.65 T, with perpendicular to the strip. A current i = 23 A is then sent through the strip such that a Hall potential difference V appears across the width of the strip. Calculate V. (The number of charge carriers per unit volume for copper is 8.47* 10^28 electrons/m3.)
In the figure, a conducting rod of length LLL = 35.0 cm moves in a magnetic field B⃗ B→\vec{B} of magnitude 0.530 T directed into the plane of the figure. The rod moves with speed v = 7.00 m/s in the direction shown.
What is the magnitude VbaVbaV_ba of the potential difference between the ends of the rod?
Express your answer in volts to at least three significant figures.
A strip of metal (made from copper, with 8.47 x
1028 charge carriers/m³) is placed in a uniform
magnetic field oriented perpendicular to the strip
with magnitude 0.205 T. A current i = 6.18 A is
passed through the strip, giving rise to a Hall
potential across its thickness of 0.481 mm. What
is the magnitude of the Hall potential that arises?
i
V
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- The accompanying figure shows a cross-section of a long, hollow, cylindrical conductor of inner radius r1= 3.0 cm and outer radius r2= 5.0 cm. A 50-A current distributed uniformly over the cross-section flows into the page. Calculate the magnetic field at r = 2.0 cm. r = 4.0 cm. and r = 6.0 cm.arrow_forwardA proton moving in the plane of the page has a kinetic energy of 6.00 MeV. A magnetic field of magnitude H = 1.00 T is directed into the page. The proton enters the magnetic field with its velocity vector at an angle = 45.0 to the linear boundary of' the field as shown in Figure P29.80. (a) Find x, the distance from the point of entry to where the proton will leave the field. (b) Determine . the angle between the boundary and the protons velocity vector as it leaves the field.arrow_forwardA particle moving downward at a speed of 6.0106 m/s enters a uniform magnetic field that is horizontal and directed from east to west. (a) If the particle is deflected initially to the north in a circular arc, is its charge positive or negative? (b) If B = 0.25 T and the charge-to-mass ratio (q/m) of the particle is 40107 C/kg. what is ±e radius at the path? (c) What is the speed of the particle after c has moved in the field for 1.0105s ? for 2.0s?arrow_forward
- A long, solid, cylindrical conductor of radius 3.0 cm carries a current of 50 A distributed uniformly over its cross-section. Plot the magnetic field as a function of the radial distance r from the center of the conductor.arrow_forwardA long, straight wire carries a current I (Fig. OQ22.10). Which of the following statements is true regarding the magnetic field due to the wire? More than one statement may be correct. (a) The magnitude is proportional to I/r, and the direction is out of the page at P. (b) The magnitude is proportional to I/r2, and the direction is out of the page at P. (c) The magnitude is proportional to I/r, and the direction is into the page at P. (d) The magnitude is proportional to I/r2, and the direction is into the page at P. (e) The magnitude is proportional to I, but does not depend on r. Figure OQ22.10arrow_forwardMass m = 1.00 kg is suspended vertically at rest by an insulating string connected to a circuit partially immersed in a magnetic field as in Figure P19.30. The magnetic field has magnitude Bin = 2.00 T and the length = 0.500 m. (a) Find the current I. (b) If = 115 V, find the required resistance R. Figure P19.30arrow_forward
- The figure shows a silver ribbon whose cross section is 1.0 cm by 0.20 cm. The ribbon carries a current of 100 A from left to right, and it lies in a uniform magnetic field of magnitude 1.5 T. Using a density value of n = 5.9×10^28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon. charge of electrons = -1.6×10^-19 length = 1 cmarrow_forwardA strip of metal 23.0 cm long (made from copper, with 8.47 x 1028 charge carriers/m³) is placed in a uniform magnetic field oriented perpendicular to the strip with magnitude 0.830 T. A current / = 4.10 A is passed through the strip, giving rise to a Hall potential across its thickness of 0.520 mm. What is the magnitude of the Hall potential that arises? i Varrow_forwardTutorial Exercise In an experiment designed to measure the Earth's magnetic field using the Hall effect, a copper bar 0.415 cm thick is positioned along an east-west direction. Assume n = 8.46 x 1028 electrons/m3 and the plane of the bar is rotated to be perpendicular to the direction of B. If a current of 8.00 A in the conductor results in a Hall voltage of 5.52 x 10-12 v, what is the magnitude of the Earth's magnetic field at this location?arrow_forward
- In an experiment designed to measure the Earth's magnetic field using the Hall effect, a copper bar 0.440 cm thick is positioned along an east-west direction. Assume n = 8.46 x 1028 electrons/m³ and the plane of the bar is rotated to be perpendicular to the direction of B. If a current of 8.00 A in the conductor results in a Hall voltage of 5.80 x 1012 v, what is the magnitude of the Earth's magnetic field at this location? 0.0431 Your response is off by a multiple of ten. µTarrow_forwardIn an experiment designed to measure the Earth's magnetic field using the Hall effect, a copper bar 0.400 cm thick is positioned along an east- west direction. Assume n = 8.46 × 1028 electrons/m3 and the plane of the bar is rotated to be perpendicular to the direction of B. If a current of 8.00 A in the conductor results in a Hall voltage of 4.20 x 10¯12 v, what is the magnitude of the Earth's magnetic field at this location? µTarrow_forwardThe figure below shows a piece of insulated wire formed into the shape of a figure eight. You may consider the two loops of the figure eight to be circles, where the upper loop's radius is 3.00 cm and the lower loop's radius is 8.00 cm. The wire has a uniform resistance per unit length of 4.00 0/m. The wire lies in a plane that is perpendicular to a uniform magnetic field directed into the page, the magnitude of which is increasing at a constant rate of 2.50 T/s. (a) What is the magnitude of the induced current in the wire (in A)? A (b) Find the direction of the induced current in the wire. (Select all that apply.) O clockwise in the upper loop O clockwise in the lower loop O counterclockwise in the upper loop O counterclockwise in the lower looparrow_forward
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