Verified Solution • 2025–26 Session moderate

QPages 352-354: Q12: HC Verma: Concepts of Physics - Volume 2 Electric Current through Gases Pages 352-354: Q12 Solution: The power delivered in the plate circuit of a diode is 1.0 W…

The power delivered in the plate circuit of a diode is 1.0 W when the plate voltage is 36 V. Find the power delivered if the plate voltage is increased to 49 V. Assume Langmuir-Child equation to hold.

Step-by-Step Verified Solution

**Answer:** Power delivered P=2.2P = 2.2 W. **Step-by-Step Explanation:** Given: P1=1.0P_1 = 1.0 W at V1=36V_1 = 36 V, V2=49V_2 = 49 V. Langmuir-Child law: i∝V3/2i \propto V^{3/2}. Power P=Vi∝V5/2P = Vi \propto V^{5/2}.
P2P1=(V2V1)5/2=(4936)2.5=2.16\frac{P_2}{P_1} = \left(\frac{V_2}{V_1}\right)^{5/2} = \left(\frac{49}{36}\right)^{2.5} = 2.16
P2=2.16×1.0=2.16≈2.2P_2 = 2.16 \times 1.0 = 2.16 \approx 2.2 W .

All Questions in this Chapter

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