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Q. If in a diode valve, the plate potential becomes double, then plate current will be:

Rajasthan PMTRajasthan PMT 2004Semiconductor Electronics: Materials Devices and Simple Circuits

Solution:

The Child's equation is
$I_{P} \propto V_{p}^{3 / 2}$
$\therefore I_{p}'=\left(\frac{V_{p}'}{V_{p}}\right)^{3 / 2} I_{p} $
or $I_{p} =(2)^{3 / 2} I_{p} $
$=2 \sqrt{2} I_{p} $