For an electronic valve, the plate current I and plate voltage V in the space charge limited region are related as (a) I is proportional to V3/2 (b) I is proportional to V2/3 (c) I is proportional to V (d) I is proportional to V²

Answer: (a). In the space-charge-limited region the plate current obeys the Child–Langmuir law. I = kV3/2 So the answer is (a) I ∝ V3/2.

For an electronic valve, the plate current I and plate voltage V in… | NEET 1992 (AIPMT)

Q16NEET 1992 · AIPMTMedium

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For an electronic valve, the plate current $I$ and plate voltage $V$ in the space charge limited region are related as

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Answer: (a)

In the space-charge-limited region the plate current obeys the Child–Langmuir law.
$I = kV^{3/2}$
So the answer is (a) $I \propto V^{3/2}$ .