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In an npn transistor 10^10 electro ns enter the emitter in 10^-6 s and 2% electrons recombine with holes in base , then current gain alpha and b eta are respectively are a) alpha= 0.98, beta = 49 b) alpha =49 , beta = 0.98 c) alpha= 0.49, beta =0.49 d) alpha = 98 , beta = 0.48 The answer is a can you explain for it?
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In an npn transistor 10^10 electro ns enter the emitter in 10^-6 s and...
The given question is related to the npn transistor and requires us to find the current gain alpha (α) and beta (β) values.

Given:
Number of electrons entering the emitter (N) = 10^10
Time taken for electrons to enter the emitter (t) = 10^-6 s
Percentage of electrons recombining with holes in the base (p) = 2%

To find the value of α, we need to calculate the base current (Ib) and collector current (Ic) using the given data. The formula for α is given by:

α = Ic / Ib

1. Calculating the Base Current (Ib):
The number of electrons recombining with holes in the base can be calculated using the formula:

Recombined electrons (N_r) = N * (p / 100)

Hence, N_r = 10^10 * (2 / 100) = 2 * 10^8

The base current (Ib) can be calculated using the formula:

Ib = N_r / t

Substituting the given values:

Ib = 2 * 10^8 / 10^-6 = 2 * 10^14 A

2. Calculating the Collector Current (Ic):
The total number of electrons entering the emitter is given as N = 10^10. Since only a certain percentage of electrons recombine with holes in the base, the remaining electrons will contribute to the collector current.

Hence, the number of electrons contributing to the collector current (N_c) can be calculated as:

N_c = N - N_r

Substituting the given values:

N_c = 10^10 - 2 * 10^8 = 9.8 * 10^9

The collector current (Ic) can be calculated using the formula:

Ic = N_c / t

Substituting the given values:

Ic = 9.8 * 10^9 / 10^-6 = 9.8 * 10^15 A

3. Calculating Alpha (α):
Now, we can calculate alpha (α) using the formula:

α = Ic / Ib

Substituting the calculated values:

α = (9.8 * 10^15) / (2 * 10^14) = 49

4. Calculating Beta (β):
The value of beta (β) can be calculated using the formula:

β = α / (1 - α)

Substituting the calculated value of alpha:

β = 49 / (1 - 49) = 49 / (-48) = -1.02

Since beta (β) cannot be negative, we consider the magnitude and take the positive value:

β = |-1.02| = 1.02

Therefore, the current gain alpha (α) is 0.98 and beta (β) is 49, which matches with option (a).
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In an npn transistor 10^10 electro ns enter the emitter in 10^-6 s and 2% electrons recombine with holes in base , then current gain alpha and b eta are respectively are a) alpha= 0.98, beta = 49 b) alpha =49 , beta = 0.98 c) alpha= 0.49, beta =0.49 d) alpha = 98 , beta = 0.48 The answer is a can you explain for it?
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In an npn transistor 10^10 electro ns enter the emitter in 10^-6 s and 2% electrons recombine with holes in base , then current gain alpha and b eta are respectively are a) alpha= 0.98, beta = 49 b) alpha =49 , beta = 0.98 c) alpha= 0.49, beta =0.49 d) alpha = 98 , beta = 0.48 The answer is a can you explain for it? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In an npn transistor 10^10 electro ns enter the emitter in 10^-6 s and 2% electrons recombine with holes in base , then current gain alpha and b eta are respectively are a) alpha= 0.98, beta = 49 b) alpha =49 , beta = 0.98 c) alpha= 0.49, beta =0.49 d) alpha = 98 , beta = 0.48 The answer is a can you explain for it? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an npn transistor 10^10 electro ns enter the emitter in 10^-6 s and 2% electrons recombine with holes in base , then current gain alpha and b eta are respectively are a) alpha= 0.98, beta = 49 b) alpha =49 , beta = 0.98 c) alpha= 0.49, beta =0.49 d) alpha = 98 , beta = 0.48 The answer is a can you explain for it?.
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