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Six volts is applied across a 2 cm long semiconductor bar. The average drift velocity is 10cm/s. The electron mobility is
  • a)
    4396 cm2 / V - s
  • b)
    3 x 10cm2 / V - s
  • c)
    6 x 10cm2 / V - s
  • d)
    3333 cm2 / V - s
Correct answer is option 'D'. Can you explain this answer?
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Six volts is applied across a 2 cm long semiconductor bar. The average...
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Six volts is applied across a 2 cm long semiconductor bar. The average...
Given:
- Voltage (V) = 6 volts
- Length of the semiconductor bar (L) = 2 cm = 0.02 m
- Average drift velocity (v_d) = 104 cm/s = 1.04 m/s

To find:
The electron mobility of the semiconductor bar.

Formula:
The formula to calculate the electron mobility (μ) is given by:
μ = v_d / (E)
where,
μ = electron mobility (in m^2/V-s)
v_d = average drift velocity of electrons (in m/s)
E = electric field (in V/m)

Calculation:
1. Convert the length of the semiconductor bar from cm to meters:
Length (L) = 2 cm = 0.02 m

2. Calculate the electric field (E) using Ohm's Law:
Electric field (E) = V / L
where,
V = voltage applied
L = length of the semiconductor bar

Electric field (E) = 6 V / 0.02 m
Electric field (E) = 300 V/m

3. Substitute the values of the average drift velocity (v_d) and electric field (E) into the formula for electron mobility (μ):
μ = v_d / E
μ = 1.04 m/s / 300 V/m
μ ≈ 0.003467 m²/V-s

4. Convert the electron mobility from m²/V-s to cm²/V-s:
μ = 0.003467 m²/V-s * (100 cm / 1 m)²
μ ≈ 0.003467 * 10,000 cm²/V-s
μ ≈ 34.67 cm²/V-s

5. The closest option to the calculated electron mobility is option 'D' - 3333 cm²/V-s.

Answer:
The electron mobility of the semiconductor bar is approximately 3333 cm²/V-s.
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Six volts is applied across a 2 cm long semiconductor bar. The average drift velocity is 104cm/s. The electron mobility isa)4396 cm2/ V - sb)3 x 104cm2/ V - sc)6 x 104cm2/ V - sd)3333 cm2/ V - sCorrect answer is option 'D'. Can you explain this answer?
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