Physics for Scientists and Engineers, Vol. 1
6th Edition
ISBN: 9781429201322
Author: Paul A. Tipler, Gene Mosca
Publisher: Macmillan Higher Education
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Chapter 26, Problem 13P
To determine
The minimum current in the wire required for it to be suspended above the stage and if you would advise him to proceed with his plan.
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Consider a wire carrying a current due east in a location where the Earth’s field is due north.
A) What is the direction of the force on the wire if both are parallel to the ground?
B) Calculate the force per unit length on the wire, in newtons per meter, if the wire carries 19.5 A and the field strength is 2.85 × 10-5 T.
C) What would the diameter be, in meters, of copper wire (with density ρ = 8.80 × 103 kg/m3) that would have its weight supported by this force in meters?
D) Calculate the resistance per unit length, in ohms per meter, that this copper wire will have. Copper has a resistivity of ρR = 1.72 × 10-8 Ω⋅m.
E) Calculate the potential difference per unit length, in volts per meter, of this wire.
Consider a long, horizontal Large Wire with current of 10 A running through it. We want to levitate a horizontal, thin, 0.50 m length of wire above it. If the thin wire has a mass of 10 grams, and a current of 300 mA, how far above the Large Wire will it hover (net force of zero) due to magnetic and gravitational forces?
A. If the thin wire hovers above the Large Wire due to their magnetic fields, are their currents going the same direction, or opposite directions. Explain.
B. Draw a diagram and label the directions of currents, and all other relevant quantities and vectors.
C. Find the distance above the Large Wire the small thin wire will hover (net force of zero).
D. Would your answers to parts A and C change if we wanted to find a distance below (rather than above) the Large Wire that the smaller thin wire could hover, due to their magnetic fields. Explain. Don't calculate any values but draw a new diagram and explain how this situation compares to the problem above.
An experimental device uses electrical energy to accelerate a projectile motion. Using dimensional
analysis alone, what can you determine about how the accelerating force, F, depends on the
current, I, if the only other quantities which need to be considered are the thickness of the rails,
d, the distance between the rails,D, and the constant known as the permeability of free space, µo.
2
The value of uo is 47 × 10-7 N/A², so [µo] = .
ML
ML
Chapter 26 Solutions
Physics for Scientists and Engineers, Vol. 1
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