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An n-type silicon sample is uniformly illuminated with light which generates 1020 electron hole pairs per cm3 second. The minority carrier lifetime in the sample is 1 μs. In the steady state, the hole concentration in the sample is approximately 10x, where x is an integer. The value of x is___
  • a)
    4
  • b)
    14
  • c)
    2
  • d)
    12
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
An n-type silicon sample is uniformly illuminated with light which gen...
Rate of generation = 1020 electron-hole pairs per cm3 per second.
At steady state (at the end of lifetime) t = 1μsec, concentration of hole-electron pair in 1 μsec is
= 1020 ×10–6 = 1014
So, x = 1
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Most Upvoted Answer
An n-type silicon sample is uniformly illuminated with light which gen...
The minority carrier lifetime (τ) is 1 second. This means that on average, it takes 1 second for a minority carrier (either an electron or a hole) to recombine.

The number of electron-hole pairs generated per second in the sample is given as 1020 per cm3. Since the sample is uniformly illuminated, we can assume that this generation rate is constant throughout the sample.

To determine the number of minority carriers in the sample at any given time, we need to consider the generation and recombination rates. The generation rate is given as 1020 per cm3 second, and the recombination rate can be calculated as 1/τ, where τ is the minority carrier lifetime.

Therefore, the recombination rate is 1/1 = 1 per second.

To find the number of minority carriers in the sample, we multiply the generation rate by the lifetime:

Number of minority carriers = generation rate * lifetime
= 1020 per cm3 second * 1 second
= 1020 per cm3

So there are 1020 minority carriers (either electrons or holes) in the sample at any given time.
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An n-type silicon sample is uniformly illuminated with light which generates 1020 electron hole pairs per cm3 second. The minority carrier lifetime in the sample is 1 μs. In the steady state, the hole concentration in the sample is approximately 10x, where x is an integer. The value of x is___a)4b)14c)2d)12Correct answer is option 'B'. Can you explain this answer?
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