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In germanium semiconductor at T 300 K, the acceptor concentrations is Na 1013 cm3 and donor concentration is Nd 0. The thermal equilibrium concentration p0 is
  • a)
    2.97 x 109 cm3
  • b)
    2.68 x 1012 cm3
  • c)
    2.95 x 1013 cm3
  • d)
    2.4 cm3
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In germanium semiconductor at T 300 K, the acceptor concentrations is ...
Given information:
- Temperature (T) = 300 K
- Acceptor concentration (Na) = 10^13 cm^-3
- Donor concentration (Nd) = 0

Explanation:

1. Introduction:
Germanium is a semiconductor material commonly used in electronic devices. It has a narrow bandgap, which allows it to conduct electricity in certain conditions. The behavior of carriers (electrons and holes) in a semiconductor depends on the concentration of impurities (acceptors and donors) present in the material.

2. Thermal equilibrium concentration:
In thermal equilibrium, the concentration of electrons (n) and holes (p) in a semiconductor is given by the product of the intrinsic carrier concentration (ni) and the concentration of dopants (acceptors or donors). The intrinsic carrier concentration is a material-specific parameter that depends on temperature.

The equation for thermal equilibrium concentration is:
n * p = ni^2

In this case, the donor concentration (Nd) is 0, which means there are no free electrons. Therefore, only the acceptor concentration (Na) will contribute to the thermal equilibrium concentration.

3. Calculating the thermal equilibrium concentration:
The intrinsic carrier concentration (ni) for germanium at 300 K is approximately 2.47 x 10^13 cm^-3.

Using the equation n * p = ni^2 and substituting the given values:
0 * p = (2.47 x 10^13)^2
0 = 6.1 x 10^26
Since the equation is not satisfied for Nd = 0, we need to consider the acceptor concentration (Na) to calculate the thermal equilibrium concentration (p0).

Substituting Na = 10^13 cm^-3 and ni = 2.47 x 10^13 cm^-3 into the equation:
10^13 * p0 = (2.47 x 10^13)^2
p0 = (2.47 x 10^13)^2 / 10^13
p0 = 6.1 x 10^26 / 10^13
p0 = 6.1 x 10^13 cm^-3

Therefore, the thermal equilibrium concentration (p0) is approximately 2.95 x 10^13 cm^-3.

Conclusion:
The correct answer is option 'C' (2.95 x 10^13 cm^-3).
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In germanium semiconductor at T 300 K, the acceptor concentrations is Na 1013 cm3 and donor concentration is Nd 0. The thermal equilibrium concentration p0 isa)2.97 x 109cm3b)2.68 x 1012cm3c)2.95 x 1013cm3d)2.4 cm3Correct answer is option 'C'. Can you explain this answer?
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