A Sphere in a Sphere. A solid conducting sphere carrying charge q has radius a . It is inside a concentric hollow conducting sphere with inner radius b and outer radius c . The hollow sphere 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 . and r > c . (b) Graph the magnitude of the electric field as a function of r from r = 0 to r = 2 c . (c) What is the charge on the inner surface of the hollow sphere? (d) On the outer surface? (e) Represent the charge of the small sphere by four plus signs. Sketch the field lines of the system within a spherical volume of radius 2 c .
A Sphere in a Sphere. A solid conducting sphere carrying charge q has radius a . It is inside a concentric hollow conducting sphere with inner radius b and outer radius c . The hollow sphere 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 . and r > c . (b) Graph the magnitude of the electric field as a function of r from r = 0 to r = 2 c . (c) What is the charge on the inner surface of the hollow sphere? (d) On the outer surface? (e) Represent the charge of the small sphere by four plus signs. Sketch the field lines of the system within a spherical volume of radius 2 c .
A Sphere in a Sphere. A solid conducting sphere carrying charge q has radius a. It is inside a concentric hollow conducting sphere with inner radius b and outer radius c. The hollow sphere 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. and r > c. (b) Graph the magnitude of the electric field as a function of r from r = 0 to r = 2c. (c) What is the charge on the inner surface of the hollow sphere? (d) On the outer surface? (e) Represent the charge of the small sphere by four plus signs. Sketch the field lines of the system within a spherical volume of radius 2c.
A bungee jumper plans to bungee jump from a bridge 64.0 m above the ground. He plans to use a uniform elastic cord, tied to a harness around his body, to stop his fall at a point 6.00 m above the water. Model his body as a particle and the cord as having negligible mass and obeying
Hooke's law. In a preliminary test he finds that when hanging at rest from a 5.00 m length of the cord, his body weight stretches it by 1.55 m. He will drop from rest at the point where the top end of a longer section of the cord is attached to the bridge.
(a) What length of cord should he use?
Use subscripts 1 and 2 respectively to represent the 5.00 m test length and the actual jump length. Use Hooke's law F = KAL and the fact that the change in length AL for a given force is proportional the length L (AL = CL), to determine the force constant for the test case and for the
jump case. Use conservation of mechanical energy to determine the length of the rope. m
(b) What maximum acceleration will he…
210. Sometimes the Helmholtz free energy F(T, V, N) divided by temperature, T, is an interesting
quantity. For example, the quantity is proportional to the logarithm of the equilibrium constant or
solubilities.
A. Derive a relationship showing that
Find the constant of proportionality.
a
F
αυ
ƏT T
B. Suppose F(T) depends on temperature in the following way:
F(T)=2aT²+bT.
Find S(T) and U(T).
choosing East (e) is not correct!
Chapter 22 Solutions
University Physics with Modern Physics, Volume 2 (Chs. 21-37); Mastering Physics with Pearson eText -- ValuePack Access Card (14th Edition)
Genetic Analysis: An Integrated Approach (3rd Edition)
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