PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS
6th Edition
ISBN: 9781429206099
Author: Tipler
Publisher: MAC HIGHER
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Chapter 26, Problem 68P
To determine
The proof that Hall coefficient is equal to
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Magnetic flux density is the amount of flux passing through a defined area that is
perpendicular to the direction of the flux while Magnetic flux is the amount of magnetic field
(or the number of lines of force) produced by a magnetic source.
(Note 1Tesla= 1Wb/m )
a) If you are to determine the flux density of a rectangular magnetic pole with face having
dimensions of 200mm and 100mm. assuming the total flux emerging from the magnetic pole is
150µWb, what would be the flux density in Tesla?
b) If the emerging flux of the pole is changed to 100µWb what will be the resultant density?
c) When the dimensions of the magnetic pole are changed to 10m and 5m what will be the
new density?
d) What would happen if the magnetic pole is changed to square?
Consider hollow cylindrical conducting shell of outer radius a and inner radius b carrying
a uniformly distributed current , so ¿ = J/A where A is the cross sectional area of the cylindrical
shell. A cross sectional view of the conductor is shown in Fig. 1(a) Use Ampére's law for the
following.
(a) Calculate the magnetic field in the hollow region of the conductor, r < b.
(b) Calculate the magnetic field outside the conductor, r > a.
(c) Show that the magnetic field inside the conductor for b < r < a is given by
Given: B = 5 * 10-5 T ẑ; σ = 4 (Ohm-meters)-1 (conductivity)
a) Assume that seawater is moving at a constant velocity v = v0 ŷ and that the Earth’s magnetic field is along the ẑ-direction. Calculate the electric current density J produced by the magnetic force. Hint: first compute the force per unit charge, F/q, and then use the relationship J = σ(F/q).
b) Derive the equation of motion of a cylindrical differential volume element of base area δA and height δh parallelto the direction of J. Assume that seawater has a known volumetric mass density ρ. Show that this equation implies that the velocity satisfies the following differential equation:dvy/dt = vy/τwhere τ is a constant that you should write in terms of B, σ, and ρ.
Chapter 26 Solutions
PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS
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