Answer the question plus this additional part: In addition use this to find the numerical value of the capacitance per unit length of two long parallel wires, each with radius 1 mm, with their centers separated by 4 mm. Express your answer in picofarads per meter. You may assume the wires are perfect conductors.  Question 2.52 is attached for reference:

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Answer the question plus this additional part:

In addition use this to find the numerical value of the capacitance per unit length of two long parallel wires, each with radius 1 mm, with their centers separated by 4 mm. Express your answer in picofarads per meter. You may assume the wires are perfect conductors. 

Question 2.52 is attached for reference:

Problem 3.10 A uniform line charge λ is placed on an infinite straight wire, a dis-
tance d above a grounded conducting plane. (Let's say the wire runs parallel to the
x-axis and directly above it, and the conducting plane is the xy plane.)
(a) Find the potential in the region above the plane. [Hint: Refer to Prob. 2.52.]
(b) Find the charge density o induced on the conducting plane.
Transcribed Image Text:Problem 3.10 A uniform line charge λ is placed on an infinite straight wire, a dis- tance d above a grounded conducting plane. (Let's say the wire runs parallel to the x-axis and directly above it, and the conducting plane is the xy plane.) (a) Find the potential in the region above the plane. [Hint: Refer to Prob. 2.52.] (b) Find the charge density o induced on the conducting plane.
Problem 2.52 Two infinitely long wires running parallel to the x axis carry uniform
charge densities +λ and -> (Fig. 2.54).
Z4
B.
a
a
-^
+2
FIGURE 2.54
Transcribed Image Text:Problem 2.52 Two infinitely long wires running parallel to the x axis carry uniform charge densities +λ and -> (Fig. 2.54). Z4 B. a a -^ +2 FIGURE 2.54
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