Rankers Physics

P-N Junction Diode and its applications: Practice Problem & Solution

For an electronic valve, the plate current I and plate voltage V in the space charge limited region are related as (1992)
I is proportional to $V^{3/2}$
I is proportional to $V^{2/3}$
I is proportional to $V$
I is proportional to $V^2$

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of P-N Junction Diode and its applications. Understanding the underlying formula is key to arriving at the correct answer below:

According to the Child-Langmuir law governing thermionic diodes (electronic valves) in the space-charge limited region, the plate current is directly proportional to the three-halves power of the plate voltage, establishing the relationship $I \propto V^{3/2}$.

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