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In a GaAs sample the electrons are moving under an electric field of 5 kV cm and the carrier concentration is uniform at 1016 cm-3. The electron velocity is the saturated velocity of 107 cm/s. The drift current density is
- a)1.6 x 104 A/cm2
- b)2.4 x 104 A/cm2
- c)1.6 x 108 A/cm2
- d)2.4 x 108 A/cm2
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
In a GaAs sample the electrons are moving under an electric field of 5...
J = evn = (1.6 x 10-19)(107)(1016) = 1.6 x 104 A/cm2
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In a GaAs sample the electrons are moving under an electric field of 5...
Drift current density is the current density resulting from the motion of charge carriers in response to an applied electric field. It can be calculated using the equation:
J = q * n * μ * E
Where J is the current density, q is the charge of an electron, n is the carrier concentration, μ is the electron mobility, and E is the electric field.
Given:
Electric field (E) = 5 kV/cm = 5 x 10^5 V/m
Carrier concentration (n) = 10^16 cm^-3
Electron velocity (saturated velocity, v_s) = 10^7 cm/s
Now, let's calculate the drift current density step by step.
1. Convert the electric field from V/m to V/cm:
E = 5 x 10^5 V/m = 5 x 10^3 V/cm
2. Convert the electron velocity from cm/s to m/s:
v_s = 10^7 cm/s = 10^5 m/s
3. Calculate the electron mobility (μ) using the saturated velocity:
μ = v_s / E
= (10^5 m/s) / (5 x 10^3 V/cm)
= 2 x 10^1 m^2/Vs
4. Convert the carrier concentration from cm^-3 to m^-3:
n = 10^16 cm^-3 = 10^22 m^-3
5. Calculate the drift current density (J):
J = q * n * μ * E
= (1.6 x 10^-19 C) * (10^22 m^-3) * (2 x 10^1 m^2/Vs) * (5 x 10^3 V/cm)
= 1.6 x 10^4 A/cm^2
Therefore, the drift current density is 1.6 x 10^4 A/cm^2, which corresponds to option 'A'.
J = q * n * μ * E
Where J is the current density, q is the charge of an electron, n is the carrier concentration, μ is the electron mobility, and E is the electric field.
Given:
Electric field (E) = 5 kV/cm = 5 x 10^5 V/m
Carrier concentration (n) = 10^16 cm^-3
Electron velocity (saturated velocity, v_s) = 10^7 cm/s
Now, let's calculate the drift current density step by step.
1. Convert the electric field from V/m to V/cm:
E = 5 x 10^5 V/m = 5 x 10^3 V/cm
2. Convert the electron velocity from cm/s to m/s:
v_s = 10^7 cm/s = 10^5 m/s
3. Calculate the electron mobility (μ) using the saturated velocity:
μ = v_s / E
= (10^5 m/s) / (5 x 10^3 V/cm)
= 2 x 10^1 m^2/Vs
4. Convert the carrier concentration from cm^-3 to m^-3:
n = 10^16 cm^-3 = 10^22 m^-3
5. Calculate the drift current density (J):
J = q * n * μ * E
= (1.6 x 10^-19 C) * (10^22 m^-3) * (2 x 10^1 m^2/Vs) * (5 x 10^3 V/cm)
= 1.6 x 10^4 A/cm^2
Therefore, the drift current density is 1.6 x 10^4 A/cm^2, which corresponds to option 'A'.
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In a GaAs sample the electrons are moving under an electric field of 5 kV cm and the carrier concentration is uniform at 1016 cm-3. The electron velocity is the saturated velocity of 107 cm/s. The drift current density isa)1.6 x 104A/cm2b)2.4 x 104A/cm2c)1.6 x 108A/cm2d)2.4 x 108A/cm2Correct answer is option 'A'. Can you explain this answer?
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In a GaAs sample the electrons are moving under an electric field of 5 kV cm and the carrier concentration is uniform at 1016 cm-3. The electron velocity is the saturated velocity of 107 cm/s. The drift current density isa)1.6 x 104A/cm2b)2.4 x 104A/cm2c)1.6 x 108A/cm2d)2.4 x 108A/cm2Correct answer is option 'A'. 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 GaAs sample the electrons are moving under an electric field of 5 kV cm and the carrier concentration is uniform at 1016 cm-3. The electron velocity is the saturated velocity of 107 cm/s. The drift current density isa)1.6 x 104A/cm2b)2.4 x 104A/cm2c)1.6 x 108A/cm2d)2.4 x 108A/cm2Correct answer is option 'A'. 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 GaAs sample the electrons are moving under an electric field of 5 kV cm and the carrier concentration is uniform at 1016 cm-3. The electron velocity is the saturated velocity of 107 cm/s. The drift current density isa)1.6 x 104A/cm2b)2.4 x 104A/cm2c)1.6 x 108A/cm2d)2.4 x 108A/cm2Correct answer is option 'A'. Can you explain this answer?.
In a GaAs sample the electrons are moving under an electric field of 5 kV cm and the carrier concentration is uniform at 1016 cm-3. The electron velocity is the saturated velocity of 107 cm/s. The drift current density isa)1.6 x 104A/cm2b)2.4 x 104A/cm2c)1.6 x 108A/cm2d)2.4 x 108A/cm2Correct answer is option 'A'. 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 GaAs sample the electrons are moving under an electric field of 5 kV cm and the carrier concentration is uniform at 1016 cm-3. The electron velocity is the saturated velocity of 107 cm/s. The drift current density isa)1.6 x 104A/cm2b)2.4 x 104A/cm2c)1.6 x 108A/cm2d)2.4 x 108A/cm2Correct answer is option 'A'. 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 GaAs sample the electrons are moving under an electric field of 5 kV cm and the carrier concentration is uniform at 1016 cm-3. The electron velocity is the saturated velocity of 107 cm/s. The drift current density isa)1.6 x 104A/cm2b)2.4 x 104A/cm2c)1.6 x 108A/cm2d)2.4 x 108A/cm2Correct answer is option 'A'. Can you explain this answer?.
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