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Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
Electric Current through Gases

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Electric Current through Gases

A triode valve has a dynamic plate resistance of 10 k . Determine...

A triode valve has a dynamic plate resistance of 10 kΩ10 \text{ k}\Omega. Determine the change in the plate current when the plate voltage is altered from 200 V200 \text{ V} to 220 V220 \text{ V}.

Options

  1. A20 mA20 \text{ mA}
  2. B0.2 mA0.2 \text{ mA}
  3. C4 mA4 \text{ mA}
  4. D2 mA2 \text{ mA}

Correct answer

D. 2 mA2 \text{ mA}

Step-by-step solution

The dynamic plate resistance of a triode valve is given by the ratio of the change in plate voltage to the change in plate current at a constant grid voltage.

rp=ΔVpΔIpr_p = \dfrac{\Delta V_p}{\Delta I_p}

Given:

rp=10 kΩ=10×103Ωr_p = 10 \text{ k}\Omega = 10 \times 10^3 \Omega

Initial plate voltage, Vp1=200 VV_{p1} = 200 \text{ V}

Final plate voltage, Vp2=220 VV_{p2} = 220 \text{ V}

Change in plate voltage, ΔVp=Vp2−Vp1=220−200=20 V\Delta V_p = V_{p2} - V_{p1} = 220 - 200 = 20 \text{ V}

Substituting the values into the formula:

ΔIp=ΔVprp\Delta I_p = \dfrac{\Delta V_p}{r_p}

ΔIp=2010×103\Delta I_p = \dfrac{20}{10 \times 10^3}

ΔIp=2×10−3 A\Delta I_p = 2 \times 10^{-3} \text{ A}

ΔIp=2 mA\Delta I_p = 2 \text{ mA}
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