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Calculate the conduction density of a material with resistivity of 0.02 units and electric intensity of 12 units.
- a)300
- b)600
- c)50
- d)120
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Calculate the conduction density of a material with resistivity of 0.0...
Answer: b
Explanation: The conduction density is given by Jc = σE, where σ is the inverse of resistivity and it is 1/0.02 = 50. Thus we get, Jc = 50 x 12 = 600 units.
Explanation: The conduction density is given by Jc = σE, where σ is the inverse of resistivity and it is 1/0.02 = 50. Thus we get, Jc = 50 x 12 = 600 units.
Most Upvoted Answer
Calculate the conduction density of a material with resistivity of 0.0...
Understanding Conduction Density
Conduction density, also known as current density (J), can be calculated using the formula:
J = E / ρ
where:
- J = current density (in units)
- E = electric intensity (in units)
- ρ = resistivity (in units)
This formula indicates that the current density is directly proportional to the electric intensity and inversely proportional to the resistivity of the material.
Given Values
- Resistivity (ρ) = 0.02 units
- Electric Intensity (E) = 12 units
Calculating Conduction Density
Now, substituting the given values into the formula:
J = E / ρ
J = 12 / 0.02
Performing the Calculation
To solve this, we perform the division:
- First, calculate 1 / 0.02, which equals 50.
- Next, multiply by the electric intensity: 12 * 50 = 600 units.
Conclusion
Thus, the conduction density (current density) of the material is 600 units. Therefore, the correct answer is option 'B'.
This calculation provides insights into how efficiently a material can conduct electricity based on its resistivity and the applied electric field.
Conduction density, also known as current density (J), can be calculated using the formula:
J = E / ρ
where:
- J = current density (in units)
- E = electric intensity (in units)
- ρ = resistivity (in units)
This formula indicates that the current density is directly proportional to the electric intensity and inversely proportional to the resistivity of the material.
Given Values
- Resistivity (ρ) = 0.02 units
- Electric Intensity (E) = 12 units
Calculating Conduction Density
Now, substituting the given values into the formula:
J = E / ρ
J = 12 / 0.02
Performing the Calculation
To solve this, we perform the division:
- First, calculate 1 / 0.02, which equals 50.
- Next, multiply by the electric intensity: 12 * 50 = 600 units.
Conclusion
Thus, the conduction density (current density) of the material is 600 units. Therefore, the correct answer is option 'B'.
This calculation provides insights into how efficiently a material can conduct electricity based on its resistivity and the applied electric field.
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