Consider the concentric cylinders in the previous problem (inner non-conducting cylinder of charge +Q and radius a; outer conducting cylinder of charge -30, inner radius b and outer radius c). Draw a graph of the electric field as a function of r that includes the three regions - from r = : 0 to r> c. Let outwardly directed field be + while inwardly directed will be -

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A long non-conducting cylindrical wire of radius a stores a total charge Q₁ and is
surrounded by a hollow, concentric conducting cylindrical shell or length L, inner
radius b and outer radius c. The conducting cylindrical shell stores a total charge
-30. See Figure. Using Gauss's law, write an equation for the electric field as a
function of r (E(r)) inside the non-conducting cylinder (r< a). (When
applying Gauss's Law, show derivation and the Gaussian surface,
supporting your solution with geometrical reasoning.)
Inner non-conducting
b
C
+
Outer conducting, solid
cylinder of total charge -3Q
Transcribed Image Text:A long non-conducting cylindrical wire of radius a stores a total charge Q₁ and is surrounded by a hollow, concentric conducting cylindrical shell or length L, inner radius b and outer radius c. The conducting cylindrical shell stores a total charge -30. See Figure. Using Gauss's law, write an equation for the electric field as a function of r (E(r)) inside the non-conducting cylinder (r< a). (When applying Gauss's Law, show derivation and the Gaussian surface, supporting your solution with geometrical reasoning.) Inner non-conducting b C + Outer conducting, solid cylinder of total charge -3Q
Consider the concentric cylinders in the previous problem (inner non-conducting
cylinder of charge +Q and radius a; outer conducting cylinder of charge -30,
inner radius b and outer radius c). Draw a graph of the electric field as a function of
r that includes the three regions - from r = 0 tor > c. Let outwardly directed field
be + while inwardly directed will be -.
Ex
b
Transcribed Image Text:Consider the concentric cylinders in the previous problem (inner non-conducting cylinder of charge +Q and radius a; outer conducting cylinder of charge -30, inner radius b and outer radius c). Draw a graph of the electric field as a function of r that includes the three regions - from r = 0 tor > c. Let outwardly directed field be + while inwardly directed will be -. Ex b
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