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The Plate Resistance of a Triode is 8 Kω and the Transconductance is 2.5 Millimho. - Physics

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प्रश्न

The plate resistance of a triode is 8 kΩ and the transconductance is 2.5 millimho. (a) If the plate voltage is increased by 48 V and the grid voltage is kept constant, what will be the increase in the plate current? (b) With plate voltage kept constant at this increased value, by how much should the grid voltage be decreased in order to bring the plate current back to its initial value?

योग

उत्तर

Given:-

Plate resistance,

`r_p=8KOmega=8000kOmega`

Change in plate voltage,

`deltaV_p=48V`

Formula for plate resistance:

\[r_P    =  \left( \frac{\delta V_P}{\delta I_P} \right)_{V_G = \text{constant}}   \]

\[   \Rightarrow \delta I_p  = \frac{\delta V_p}{r_p} {}_{V_{G  = \text{constant}}} \]

\[   \Rightarrow \delta I_p  = \frac{48}{8000} = 0 . 006  A = 6 \text{ mA}\]


(b) Now, Vp is kept constant.

Change in plate current,

`deltaI_p=6"mA"=0.006A`

Trasconductance,

\[g_m    =   0 . 0025  mho\]

\[\delta V_G    =   \frac{\delta I_p}{g_m}   =   \frac{0 . 006}{0 . 0025}\]

\[\delta V_G  =   2 . 4  V, \text{ at constant plate voltage}\]

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अध्याय 19: Electric Current through Gases - Exercises [पृष्ठ ३५३]

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एचसी वर्मा Concepts of Physics Vol. 2 [English] Class 11 and 12
अध्याय 19 Electric Current through Gases
Exercises | Q 17 | पृष्ठ ३५३

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