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Problem 4.21 A certain coaxial cable consists of a copper wire, radius a, sur- rounded by a concentric copper tube of inner radius c (Fig. 4.26). The space between is partially filled (from b out to c) with material of dielectric constant E,, as shown. Find the capacitance per unit length of this cable. FIGURE 4.26

Problem 4.21 A certain coaxial cable consists of a copper wire, radius a, sur- rounded by a concentric copper tube of inner radius c (Fig. 4.26). The space between is partially filled (from b out to c) with material of dielectric constant E,, as shown. Find the capacitance per unit length of this cable. FIGURE 4.26

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**Problem 4.21** A certain coaxial cable consists of a copper wire, radius \( a \), surrounded by a concentric copper tube of inner radius \( c \) (Fig. 4.26). The space between is partially filled (from \( b \) out to \( c \)) with material of dielectric constant \( \epsilon_r \), as shown. Find the capacitance per unit length of this cable. **Explanation of Diagram (Figure 4.26):** - The diagram represents a cross-section of a coaxial cable. - The central part is a copper wire with radius \( a \). - The outer part is a concentric copper tube with an inner radius \( c \). - The region between where \( b \) and \( c \) are marked is filled with a dielectric material. - Radius \( b \) is between \( a \) and \( c \). - The dielectric material in the space has a dielectric constant \( \epsilon_r \). The problem asks for the calculation of the capacitance per unit length of the cable.
Transcribed Image Text:**Problem 4.21** A certain coaxial cable consists of a copper wire, radius \( a \), surrounded by a concentric copper tube of inner radius \( c \) (Fig. 4.26). The space between is partially filled (from \( b \) out to \( c \)) with material of dielectric constant \( \epsilon_r \), as shown. Find the capacitance per unit length of this cable. **Explanation of Diagram (Figure 4.26):** - The diagram represents a cross-section of a coaxial cable. - The central part is a copper wire with radius \( a \). - The outer part is a concentric copper tube with an inner radius \( c \). - The region between where \( b \) and \( c \) are marked is filled with a dielectric material. - Radius \( b \) is between \( a \) and \( c \). - The dielectric material in the space has a dielectric constant \( \epsilon_r \). The problem asks for the calculation of the capacitance per unit length of the cable.
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