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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

For a 6F6 triode tube, the plate current, plate voltage, and grid...

For a 6F6 triode tube, the plate current, plate voltage, and grid voltage are related by ip=41(Vp+7Vg)1.41i_p = 41(V_p + 7 V_g)^{1.41}, where VpV_p and VgV_g are in volts and ipi_p is in microamperes. If the tube is operated at Vp=250 VV_p = 250 \text{ V} and Vg=−20 VV_g = -20 \text{ V}, calculate the tube current.

Options

  1. A15 mA15 \text{ mA}
  2. B45 mA45 \text{ mA}
  3. C60 mA60 \text{ mA}
  4. D30 mA30 \text{ mA}

Correct answer

D. 30 mA30 \text{ mA}

Step-by-step solution

Given the equation for the plate current:

ip=41(Vp+7Vg)1.41i_p = 41(V_p + 7 V_g)^{1.41}

Substitute the given values Vp=250 VV_p = 250 \text{ V} and Vg=−20 VV_g = -20 \text{ V} into the equation:

ip=41(250+7(−20))1.41i_p = 41(250 + 7(-20))^{1.41}

ip=41(250−140)1.41i_p = 41(250 - 140)^{1.41}

ip=41(110)1.41i_p = 41(110)^{1.41}

Using logarithms or a calculator to evaluate (110)1.41(110)^{1.41}:

log⁡10(1101.41)=1.41×log⁡10(110)≈1.41×2.0414≈2.878\log_{10}(110^{1.41}) = 1.41 \times \log_{10}(110) \approx 1.41 \times 2.0414 \approx 2.878

1101.41≈102.878≈755.7110^{1.41} \approx 10^{2.878} \approx 755.7

Now, substituting this back into the equation for ipi_p:

ip≈41×755.7μAi_p \approx 41 \times 755.7 \mu\text{A}

ip≈30984μAi_p \approx 30984 \mu\text{A}

Converting microamperes to milliamperes (1 mA=1000μA1 \text{ mA} = 1000 \mu\text{A}):

ip≈30.98 mAi_p \approx 30.98 \text{ mA}

Rounding to the nearest given option, we get 30 mA30 \text{ mA}.
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