# PS5 - Electricity and Magnetism Physics 2217 and AEP 2170...

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Electricity and Magnetism Physics 2217 and AEP 2170 Spring 2011 Homework 5 Assigned: Sunday March 06 th Due: Friday March 18 th 1. Problem 4.05 Purcell 2. Problem 4.18 Purcell 3. Two Concentric metal spherical shells of radius a and b respectively, are separated by weakly conducting material of conductivity σ . a. If they are maintained at a potential difference V , what current flows from one to the other? b. What is the resistance between the shells c. Notice that if b >> a the outer radius is irrelevant. How do you account for that? Exploit this observation to determine the current flowing between two metal spheres, each of radius a , immersed deep in the sea and help quite far apart if the potential difference between them is V . (This arrangement can be used to measure the conductivity of sea water.) 4. A capacitor C has been charged up to potential V 0 ; at time t = 0 it is connected to a resistor R , and begins to discharge. a. Determine the charge of the capacitor as a function of time, Q ( t ). What is

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