Outer Resistance Of Coaxial Cable Calculator

Outer Resistance of Coaxial Cable Formula:

\[ R_{out} = \frac{1}{2\pi\delta b_r \sigma_c} \]

Outer Resistance of Coaxial Cable (R_out):

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1. What is Outer Resistance of Coaxial Cable?

The Outer Resistance of Coaxial Cable is a measure of the opposition that the Outer conductor of the coaxial cable presents to the flow of electric current. It is an important parameter in determining the overall performance and signal integrity of coaxial cable systems.

2. How Does the Calculator Work?

The calculator uses the Outer Resistance formula:

\[ R_{out} = \frac{1}{2\pi\delta b_r \sigma_c} \]

Where:

\( R_{out} \) — Outer Resistance of Coaxial Cable (Ω)
\( \delta \) — Skin depth (m)
\( b_r \) — Outer radius of coaxial cable (m)
\( \sigma_c \) — Electrical conductivity (S/m)
\( \pi \) — Archimedes' constant (≈3.14159)

Explanation: The formula calculates the resistance of the outer conductor by considering the skin effect, conductor dimensions, and material conductivity.

3. Importance of Outer Resistance Calculation

Details: Accurate calculation of outer resistance is crucial for designing efficient coaxial cable systems, minimizing signal loss, and ensuring proper impedance matching in high-frequency applications.

4. Using the Calculator

Tips: Enter skin depth in meters, outer radius in meters, and electrical conductivity in Siemens per meter. All values must be positive and non-zero.

5. Frequently Asked Questions (FAQ)

Q1: What is skin depth and how does it affect resistance?
A: Skin depth is the depth at which current density falls to 1/e of its surface value. At high frequencies, current flows mainly near the surface, increasing effective resistance.

Q2: How does outer radius affect the resistance?
A: Larger outer radius decreases resistance as it provides more cross-sectional area for current flow, reducing the opposition to current.

Q3: What materials are commonly used for coaxial cable conductors?
A: Copper and aluminum are most common due to their high conductivity. Silver-plated copper is used for high-performance applications.

Q4: How does temperature affect the resistance calculation?
A: Electrical conductivity decreases with increasing temperature, which would increase the resistance. This calculator assumes room temperature conditions.

Q5: Is this formula applicable to all frequency ranges?
A: The formula is specifically designed for high-frequency applications where skin effect is significant. For DC or low-frequency applications, different formulas should be used.