Previous Year Question
Correct answer: B
Explanation
B — Length of line. Corona inception depends on the local conductor-surface electric field, not the total length of an otherwise identical uniform line.
Formula
Step-by-step solution
Correct answer: B — Length of line
What determines corona inception
Corona starts when the electric field at a conductor surface becomes strong enough to ionize the surrounding air. The critical corona voltage is therefore a field-threshold quantity. It depends on conductor geometry, spacing, surface condition and air conditions.
Bundling divides a phase conductor into several sub-conductors. The number of sub-conductors and their spacing change the distribution of charge and the maximum electric field at their surfaces. The distance between phase groups also affects the surrounding electric field. These geometric changes can therefore alter the corona-inception voltage.
Why line length is the answer
Extending an otherwise identical, uniformly energized conductor increases how much conductor is present. It does not, by itself, change the local cross-sectional geometry or the critical surface field. Consequently, total line length is not an independent local corona-inception parameter in the standard model used by this question.
Length can affect total corona power loss. If comparable corona loss occurs per kilometre, adding more kilometres increases the total loss. That is a different quantity from the voltage at which corona starts. Real lines can have nonuniform weather, voltage profiles and surface defects; the stated comparison assumes those local conditions are held constant.
The key distinction is therefore inception voltage versus accumulated loss. A simple single-conductor formula should not be treated as an exact bundled-conductor formula merely by replacing its radius with an equivalent bundle radius.
Other options
A, C and D affect bundle/conductor geometry and therefore surface gradient. B changes the amount of line but not the local critical field for otherwise identical geometry.
Common mistake
Choosing line length because total corona loss increases with length. The question asks critical voltage, not total loss.
Exam tip
Corona inception = local electric-field problem; total loss = local loss × line length.
Quick method
Critical voltage cares about geometry and air—not kilometres.