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What is the conductivity when the Hall Effect coefficient is 5 and mobility is 5cm2 /s.
- a)100 S/m
- b)10 S/m
- c)0.0001S/m
- d)0.01 S/m
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
What is the conductivity when the Hall Effect coefficient is 5 and mob...
Understanding the Hall Effect Coefficient and Mobility
The Hall Effect coefficient (R_H) and mobility (μ) are crucial in determining the conductivity (σ) of a material. The relationship between these parameters is given by the formula:
σ = n * e
where:
- n = charge carrier concentration
- e = charge of an electron
However, we can relate the Hall Effect coefficient and conductivity through the mobility:
Key Formulas
- The Hall Effect coefficient is defined as:
R_H = 1/(n * e)
- Mobility is defined as:
μ = σ/(n * e)
Combining these definitions, we can derive the conductivity:
Calculating Conductivity
1. Given Values:
- Hall Effect coefficient (R_H) = 5
- Mobility (μ) = 5 cm²/s
2. Charge Carrier Concentration:
From the Hall Effect coefficient:
n = 1/(R_H * e)
(where e is approximately 1.6 x 10^-19 C)
3. Conductivity Formula:
You can express conductivity (σ) in terms of mobility and charge carrier concentration:
σ = n * e * μ
4. Substituting the Values:
Using R_H and mobility, we can express n in terms of R_H:
n = 1/(R_H * e) = 1/(5 * 1.6 x 10^-19)
Next, substitute n into the conductivity equation:
σ = (1/(R_H * e)) * e * μ = μ / R_H
5. Final Calculation:
σ = 5 cm²/s / 5 = 1 cm²/s
1 cm²/s = 0.0001 S/m
Thus, the correct answer is option 'C': 0.0001 S/m.
Conclusion
Understanding the relationships between Hall Effect coefficient, mobility, and conductivity allows for effective calculations in material properties, leading to practical applications in electronics and communication engineering.
The Hall Effect coefficient (R_H) and mobility (μ) are crucial in determining the conductivity (σ) of a material. The relationship between these parameters is given by the formula:
σ = n * e
where:
- n = charge carrier concentration
- e = charge of an electron
However, we can relate the Hall Effect coefficient and conductivity through the mobility:
Key Formulas
- The Hall Effect coefficient is defined as:
R_H = 1/(n * e)
- Mobility is defined as:
μ = σ/(n * e)
Combining these definitions, we can derive the conductivity:
Calculating Conductivity
1. Given Values:
- Hall Effect coefficient (R_H) = 5
- Mobility (μ) = 5 cm²/s
2. Charge Carrier Concentration:
From the Hall Effect coefficient:
n = 1/(R_H * e)
(where e is approximately 1.6 x 10^-19 C)
3. Conductivity Formula:
You can express conductivity (σ) in terms of mobility and charge carrier concentration:
σ = n * e * μ
4. Substituting the Values:
Using R_H and mobility, we can express n in terms of R_H:
n = 1/(R_H * e) = 1/(5 * 1.6 x 10^-19)
Next, substitute n into the conductivity equation:
σ = (1/(R_H * e)) * e * μ = μ / R_H
5. Final Calculation:
σ = 5 cm²/s / 5 = 1 cm²/s
1 cm²/s = 0.0001 S/m
Thus, the correct answer is option 'C': 0.0001 S/m.
Conclusion
Understanding the relationships between Hall Effect coefficient, mobility, and conductivity allows for effective calculations in material properties, leading to practical applications in electronics and communication engineering.
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Community Answer
What is the conductivity when the Hall Effect coefficient is 5 and mob...
µ=σR
σ =µ/R
=5*10-4/5
=0.0001 S/m.
σ =µ/R
=5*10-4/5
=0.0001 S/m.
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What is the conductivity when the Hall Effect coefficient is 5 and mobility is 5cm2/s.a)100 S/mb)10 S/mc)0.0001S/md)0.01 S/mCorrect answer is option 'C'. Can you explain this answer?
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What is the conductivity when the Hall Effect coefficient is 5 and mobility is 5cm2/s.a)100 S/mb)10 S/mc)0.0001S/md)0.01 S/mCorrect answer is option 'C'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2025 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about What is the conductivity when the Hall Effect coefficient is 5 and mobility is 5cm2/s.a)100 S/mb)10 S/mc)0.0001S/md)0.01 S/mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the conductivity when the Hall Effect coefficient is 5 and mobility is 5cm2/s.a)100 S/mb)10 S/mc)0.0001S/md)0.01 S/mCorrect answer is option 'C'. Can you explain this answer?.
What is the conductivity when the Hall Effect coefficient is 5 and mobility is 5cm2/s.a)100 S/mb)10 S/mc)0.0001S/md)0.01 S/mCorrect answer is option 'C'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2025 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about What is the conductivity when the Hall Effect coefficient is 5 and mobility is 5cm2/s.a)100 S/mb)10 S/mc)0.0001S/md)0.01 S/mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the conductivity when the Hall Effect coefficient is 5 and mobility is 5cm2/s.a)100 S/mb)10 S/mc)0.0001S/md)0.01 S/mCorrect answer is option 'C'. Can you explain this answer?.
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