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Consider a long two wire line composed of solid round-conductors. The radius of bot h conductors is 0.20 cm and the distance between their centres is 2m. If this distance is doubled, t hen the inductance per unit length
a)doubles
b)halves
c)increase but does not double
d)decreases but does not halve?
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Consider a long two wire line composed of solid round-conductors. The ...
Answer:

Introduction

This question is related to the inductance of a long two wire line composed of solid round-conductors. The given scenario is that the radius of both conductors is 0.20 cm and the distance between their centres is 2m. We have to determine if the inductance per unit length doubles, halves, increases but does not double or decreases but does not halve if the distance between the conductors is doubled.

Explanation

The inductance of a long two wire line can be calculated by using the following formula:

L = (μ/2π) ln(D/d)

Where L is the inductance per unit length, μ is the permeability of free space, D is the distance between the centres of the conductors and d is the radius of the conductors.

When the distance between the conductors is doubled, the inductance per unit length can be calculated as follows:

L' = (μ/2π) ln(2D/d)

By comparing this equation with the previous one, we can see that the only difference is the value of D. Therefore, we can say that the inductance per unit length will increase but not double.

Conclusion

In conclusion, when the distance between the conductors of a long two wire line composed of solid round-conductors is doubled, the inductance per unit length will increase but not double. This can be explained by using the formula of inductance which shows that the inductance per unit length is directly proportional to the natural logarithm of the distance between the conductors.
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Consider a long two wire line composed of solid round-conductors. The radius of bot h conductors is 0.20 cm and the distance between their centres is 2m. If this distance is doubled, t hen the inductance per unit lengtha)doublesb)halvesc)increase but does not doubled)decreases but does not halve?
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Consider a long two wire line composed of solid round-conductors. The radius of bot h conductors is 0.20 cm and the distance between their centres is 2m. If this distance is doubled, t hen the inductance per unit lengtha)doublesb)halvesc)increase but does not doubled)decreases but does not halve? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Consider a long two wire line composed of solid round-conductors. The radius of bot h conductors is 0.20 cm and the distance between their centres is 2m. If this distance is doubled, t hen the inductance per unit lengtha)doublesb)halvesc)increase but does not doubled)decreases but does not halve? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a long two wire line composed of solid round-conductors. The radius of bot h conductors is 0.20 cm and the distance between their centres is 2m. If this distance is doubled, t hen the inductance per unit lengtha)doublesb)halvesc)increase but does not doubled)decreases but does not halve?.
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