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In a p-type semiconductor, p = 1016/cm2, and μp = 400 cm2/V-s. If a magnetic field (B) of 5 x 10-4 Weber/cm2 is applied in the x-direction, and an electric field of 2000 V/m is applied in +y direction. The value of electric field caused due to the “Hall effect” is
  • a)
    -400 V/cm in -z direction
  • b)
    -200 V/cm in +z direction
  • c)
    -200 V/cm in -z direction
  • d)
    -400 V/cm in +z direction
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In a p-type semiconductor, p = 1016/cm2, and μp = 400 cm2/V-s. If a...
The force acting on a charge q placed in a magnetic field B and an electric field E is given by
F = qv x B
The velocity of the hole placed in an electric field is


Now, F - + q E ...(ii) (+q = charge on a hole)
Comparing equations (i) and (ii), the electric field due to the Hall effect will be -400 V/cm in +z direction.
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Most Upvoted Answer
In a p-type semiconductor, p = 1016/cm2, and μp = 400 cm2/V-s. If a...
The acceptor concentration is Na = 1018/cm3. The electron concentration is given by the equation:

np = ni2

where np is the product of the electron and hole concentrations, and ni is the intrinsic carrier concentration.

The intrinsic carrier concentration is given by the equation:

ni2 = (Nc * Nv) * exp(-Eg / (2 * k * T))

where Nc is the effective density of states in the conduction band, Nv is the effective density of states in the valence band, Eg is the energy gap between the conduction and valence bands, k is Boltzmann's constant, and T is the temperature in Kelvin.

Assuming typical values for silicon:
Nc = 2.8 * 10^19/cm3
Nv = 1.04 * 10^19/cm3
Eg = 1.12 eV
k = 8.6173 * 10^-5 eV/K
T = 300 K

Plugging in the values:
ni2 = (2.8 * 10^19/cm3 * 1.04 * 10^19/cm3) * exp(-1.12 eV / (2 * 8.6173 * 10^-5 eV/K * 300 K))
= 3.1 * 10^20/cm6 * exp(-1.12 / 0.0519)
= 3.1 * 10^20/cm6 * 0.000002
= 6.2 * 10^14/cm6

Since np = ni2, the electron concentration can be calculated as:

np = 6.2 * 10^14/cm6
= 6.2 * 10^14/cm6 / (1/cm3)
= 6.2 * 10^14/cm3

Therefore, in the given p-type semiconductor with p = 10^16/cm2 and Na = 10^18/cm3, the electron concentration is approximately 6.2 * 10^14/cm3.
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In a p-type semiconductor, p = 1016/cm2, and μp = 400 cm2/V-s. If a magnetic field (B) of 5 x 10-4 Weber/cm2 is applied in the x-direction, and an electric field of 2000 V/m is applied in +y direction. The value of electric field caused due to the “Hall effect” isa)-400 V/cm in -z directionb)-200 V/cm in +z directionc)-200 V/cm in -z directiond)-400 V/cm in +z directionCorrect answer is option 'D'. Can you explain this answer?
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In a p-type semiconductor, p = 1016/cm2, and μp = 400 cm2/V-s. If a magnetic field (B) of 5 x 10-4 Weber/cm2 is applied in the x-direction, and an electric field of 2000 V/m is applied in +y direction. The value of electric field caused due to the “Hall effect” isa)-400 V/cm in -z directionb)-200 V/cm in +z directionc)-200 V/cm in -z directiond)-400 V/cm in +z directionCorrect answer is option 'D'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about In a p-type semiconductor, p = 1016/cm2, and μp = 400 cm2/V-s. If a magnetic field (B) of 5 x 10-4 Weber/cm2 is applied in the x-direction, and an electric field of 2000 V/m is applied in +y direction. The value of electric field caused due to the “Hall effect” isa)-400 V/cm in -z directionb)-200 V/cm in +z directionc)-200 V/cm in -z directiond)-400 V/cm in +z directionCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a p-type semiconductor, p = 1016/cm2, and μp = 400 cm2/V-s. If a magnetic field (B) of 5 x 10-4 Weber/cm2 is applied in the x-direction, and an electric field of 2000 V/m is applied in +y direction. The value of electric field caused due to the “Hall effect” isa)-400 V/cm in -z directionb)-200 V/cm in +z directionc)-200 V/cm in -z directiond)-400 V/cm in +z directionCorrect answer is option 'D'. Can you explain this answer?.
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