problems_27 - PHY2061 R. D. Field Chapter 27 Problems...

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R. D. Field Problems Chapter 27 Page 1 of 4 Chapter 27 Problems Problem 1: Consider a spherical conducting shell S 1 of radius R on which charge +Q is placed. Without touching or disturbing it, this shell is now surrounded concentrically by a similar shell S 2 of radius 2R on which charge -Q is placed (see Figure). What is the magnitude of the electric field in the region between the two shells ( R <r < 2R )? Problem 2: In the previous problem, what is the electric field inside shell S 1 (r < R)? Problem 3: A solid insulating sphere of radius R has charge distributed uniformly throughout its volume. What fraction of the sphere&s total charge is located within the region r < R/2 ? Problem 4: A solid insulating sphere of radius R has a non-uniform volume charge distribution given by ρ (r) = ar , where a is a constant. What is the total charge Q of the insulating sphere? Problem 5: In a certain region of space within a distribution of charge the electric field is given by r ar r E ± ) ( = r . It points radially away from the origin and has a magnitude E(r) = ar , where a = 150N/(Cm) . How much electric charge ( in nanoC ) is located inside a shell with an inner radius of 0.5 meters and an outer radius of 1.0 meters ? R
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problems_27 - PHY2061 R. D. Field Chapter 27 Problems...

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