Question:
If the radius of a conductor in a transmission line is doubled while keeping spacing constant, the inductance of the line will
If the radius of a conductor in a transmission line is doubled while keeping spacing constant, the inductance of the line will
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Increasing conductor radius reduces the inductance of a transmission line when conductor spacing remains constant.
Updated On: May 27, 2026
- Increase
- Decrease
- Remain unchanged
- Double
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The Correct Option is B
Solution and Explanation
Concept:
The inductance of a transmission line depends on spacing between conductors and radius of the conductor.
Step 1: The inductance of a transmission line is proportional to: \[ \log\left(\frac{D}{r}\right) \] where \(D\) is spacing between conductors and \(r\) is conductor radius.
Step 2: Here spacing \(D\) is constant.
Step 3: If radius \(r\) is doubled, the ratio \(\frac{D}{r}\) decreases.
Step 4: Therefore: \[ \log\left(\frac{D}{r}\right) \] decreases.
Step 5: Hence, inductance also decreases. Therefore: \[ \boxed{\text{Decrease}} \]
Step 1: The inductance of a transmission line is proportional to: \[ \log\left(\frac{D}{r}\right) \] where \(D\) is spacing between conductors and \(r\) is conductor radius.
Step 2: Here spacing \(D\) is constant.
Step 3: If radius \(r\) is doubled, the ratio \(\frac{D}{r}\) decreases.
Step 4: Therefore: \[ \log\left(\frac{D}{r}\right) \] decreases.
Step 5: Hence, inductance also decreases. Therefore: \[ \boxed{\text{Decrease}} \]
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