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A toroidal solonoid with N windings and current I has its central axis oriented along the z-axis. The cross section of the toroid surface upon which the windings are wound is rectangular with height h along the z-axis from z= -h/2 to z= +h/2. The inner and outer radii of the toroid are R1 and R2, respectively.
Find the magnetic field within the z=0 plane as a function of the radial distance s from the central axis.
Find the magnetic vector potential within the z=0 plane as a function of the radial dstance s fom the central axis.
Sketch what the vector potential looks like in this plane.
Describe how the toroidal solonoid or toroidal magnetic field can be used to observe the Aharonov-Bohm effect.
A person notices a mild shock if the current along a path through the thumb and index finger exceeds 80 μA. Find the maximum allowable potential difference without shock across the thumb and index finger for a dry-skin resistance of 4 x 10^5 Ω.
For tests using a ballistocardiograph, a patient lies on a horizontal platform that is supported on jets of air. Because of the air jets, the friction impeding the horizontal motion of the platform is negligible. determine the recoil velocity
A 0.14-kg pinecone falls 16m on the ground, where it lands with aspeed of 13 m/s. What speed would the pinecone have landed if there had been noair resistance
Which of these do you think would allow sound to travel fastest? Explain the answer. Give two reasons - one relating to the density of molecules and the second to the elasticity of your choice - air, water, solid wood. Confirm to specifically stat..
A 2.0 kg block is kicked up a wooden ramp that is inclined at a 30? angle to the horizontal. How long does the entire up and down trip take
An iron casting containing a number of cavities weighs 16967.7 N in air and 13515.2 N in water. What is the total volume of all the cavities in the casting
A copper vat is 12 m long at room temperature (20 degrees Celsius). How much longer is it as it contains boiling water at 1 atm pressure.
A window washer pulls herself upward using the bucket-pulley apparatus shown in Fig. 4-42. The mass of the person plus the bucket is 60 kg. (a) How hard must she pull downward to raise herself slowly at constant speed? If she increases this force by ..
A 300-m-wide river flows due east at a uniform speed of 4.4 m/s. A boat with a speed of 7.6 m/s relative to the water leaves the south bank pointed in a direction 25o west of north. How long does it take for the boat to cross the river
The rails are laid on a winter day when their temperature is 1.8°C. (a) How much space must be left between adjacent rails if they are just to touch on a summer day when their temperature is 32.2°C
A courier on a bucycle travels 2.0 km N then 3.5 km E then 1.0 km S. What is the magnitude of the displacement of the courier for this trip
In a Young's double-slit experiment, the 7th dark fringe is located 0.029 m to the side of the central bright fringe on a flat screen, What is the wavelength of the light being used
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