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RAJASTHAN PMT Rajasthan - PMT Solved Paper-1996

  • question_answer
    In the space charge limited region for vacuum tube diode for plate voltage 400 and 200 volts. The plate current and \[{{I}_{{{P}_{1}}}}\]and\[{{I}_{{{P}_{2}}}}\] have ratio:

    A)  \[1:2\]                                                 

    B)         \[2:1\]                 

    C)        \[1:2\sqrt{2}\]                                  

    D)         \[2\sqrt{2}:1\]

    Correct Answer: D

    Solution :

    Thermionic current \[{{I}_{P}}\propto {{V}_{P}}^{3/2}\] \[\frac{{{I}_{{{P}_{1}}}}}{{{I}_{{{P}_{2}}}}}={{\left( \frac{400}{200} \right)}^{1/2}}=\frac{{{2}^{3/2}}}{1}=\frac{2\sqrt{2}}{1}=2\sqrt{2}:1\]


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