Verified Solution • 2025–26 Session moderate

QPages 352-354: Q14: HC Verma: Concepts of Physics - Volume 2 Electric Current through Gases Pages 352-354: Q14 Solution: Calculate the amplification factor of a triode valve that has…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students frequently fail to convert transconductance from millimhos to mhos (Siemens) before multiplying with plate resistance in ohms, leading to an answer off by a factor of 1000. Always ensure $g_m$ is in base units ($\text{S}$) and $r_p$ is in $\Omega$ so that the product $\mu = r_p g_m$ is dimensionless.

Calculate the amplification factor of a triode valve that has plate resistance of 2 kΩ2 \text{ k}\Omega and transconductance of 2 millimho.

Step-by-Step Verified Solution

**Answer:** Amplification factor μ=4\mu = 4. **Step-by-Step Explanation:** Given: rp=2 kΩ=2000Ωr_p = 2 \text{ k}\Omega = 2000 \Omega, gm=2 millimho=2×10−3 mhog_m = 2 \text{ millimho} = 2 \times 10^{-3} \text{ mho}.
μ=rp×gm=2000×2×10−3=4\mu = r_p \times g_m = 2000 \times 2 \times 10^{-3} = 4

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