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A very long solid insulating cylinder of radius a has charge distributed uniformly throughout its volume with charge density r . It is surrounded by a very long coaxial cylindrical conducting shell of inner radius b and outer radius c. The shell has no net charge.
(a) Derive expressions for the electric-field magnitude in terms of the distance r from the center for the regions r < a, a < r < b, b < r < c, r > c.
(b) Sketch the electric field lines in the regions a < r < b and r > c.
(c) Graph the electric field magnitude as a function of r.
(d) What is the surface charge density s and the linear charge density l on the inner and outer surfaces of the shell?
A 1.7kg , 20-cm-diameter turntable rotates at 50rpm on frictionless bearings, What is the turntable's angular velocity, in rpm, just after this event
a bell ringer decides to use a bowling ball to ring the bell. he hangs the 7.3kg ball from the end of a 2m long rope.
An object, at the top of a very tall building, is released from rest and falls freely due to gravity. Neglect air resistance and calculate the distance covered by the object between times t1 = 5.57 s and t2 = 7.59 s after it is released.
During an all-night cram session, a student heats up a 0.668 liter (0.668 x 10- 3 m3) glass (Pyrex) beaker of cold coffee. How much coffee (in cubic meters) has spilled out of the beaker
A major-league pitcher can throw a baseball in excess of 44.2m/s. If a ball is thrown horizontally at this speed, how much would it drop by the time it reaches the catcher who is 16.10 m away from the point of release.
For nitrogen gas at 35 C calculate the vrms, the vp and the translational kinetic energy
A truck is traveling at 11.1 m/s down a hill when the brakes on all four wheels lock. How far does the truck skid before coming to a stop
An asteroid orbits the Sun at a constant distance of 4.080e+11 meters. What is the orbital speed of the asteroid
Two sinusoidal waves, identical except for phase, travel in thesame direction along a string producing a net wavey'(x, t) = (4.0 mm) sin(24x - 4.0t + 0.800 rad), What is the phase difference between them
A Firefighter of mass 80kg slides down a vertical pole with anacceleration of 5 m/s squared. What is the friction force that acts on the fire fighter
As observed on earth, a certain type of bacteria is known to double in number every 22.9 hours. Two cultures of these bacteria are prepared, how many bacteria are in the culture on the rocket
The chemical atomic mass of hydrogen, with the two stable isotopes 1H and 2H (deuterium), is 1.00798. Use m(H1) = 1.007825 u, determine the natural abundance of 2H isotope
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