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Electrical Engineering · Q32

Electrical Cables

Engineering and GATE · Electrical Engineering · question 32

Q32

If the length of a cable is doubled, its capacitance

A.
Becomes one-fourth
B.
Becomes one-half
C.
Becomes double
Answer
D.
Remains unchanged

Answer: Option C

Solution

Answer: Option C
Solution:
The correct answer is (C) Becomes double

Here's why:

Capacitance (C) of a cable is determined by the following factors:
* The dielectric constant of the insulation material.
* The area of the conductors.
* The distance between the conductors (thickness of insulation).
* The length of the cable.

Think of a cable like a parallel plate capacitor.
The formula for capacitance is roughly:
C = (ε * A) / d
Where:
ε is the permittivity (related to the dielectric constant).
A is the area of overlap of the conductors.
d is the distance between the conductors.

When the length of the cable is doubled, it's like increasing the area of overlap (A) between the conductors.
Imagine connecting two identical capacitors in parallel.
The total capacitance doubles.

Therefore, if you double the length of the cable, you effectively double the capacitance.