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Question

Physics Question on Semiconductor electronics: materials, devices and simple circuits

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

A

222\sqrt{2} times

B

8 times

C

333\sqrt{3} times

D

2 times

Answer

222\sqrt{2} times

Explanation

Solution

The Child's equation is IPVp3/2I_{P} \propto V_{p}^{3 / 2} Ip=(VpVp)3/2Ip\therefore I_{p}'=\left(\frac{V_{p}'}{V_{p}}\right)^{3 / 2} I_{p} or Ip=(2)3/2IpI_{p} =(2)^{3 / 2} I_{p} =22Ip=2 \sqrt{2} I_{p}