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The electric field intensity, potential and rate of heat generation per unit length are E, V and H at a section distant "a" from left end of a conical shaped conductor connected to a battery of emf E, as shown. Find correct options:?
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The electric field intensity, potential and rate of heat generation pe...
Given:
- Electric field intensity at a distance "a" from the left end of the conical conductor: E
- Potential at the same section: V
- Rate of heat generation per unit length at the same section: H
- Conical conductor connected to a battery with emf E
Analysis:
- The conical shape of the conductor indicates that the electric field and potential will vary along its length.
- The electric field intensity, potential, and heat generation rate are related through the following equations:
- E = -dV/dr
- H = σE^2
Solution:
1. Electric Field Intensity (E):
Since the electric field intensity is given as E at a distance "a" from the left end of the conical conductor, it can be used to find the potential V at that section using the relation E = -dV/dr.
2. Potential (V):
Integrate the electric field intensity E with respect to distance to find the potential V at a distance "a" from the left end of the conical conductor.
3. Rate of Heat Generation per Unit Length (H):
Once the potential V is determined, the electric field intensity E can be calculated using the relation E = -dV/dr. Then, the rate of heat generation per unit length H can be found using the equation H = σE^2.
Conclusion:
By following the above steps, the correct options for the electric field intensity, potential, and rate of heat generation per unit length at a section "a" from the left end of the conical conductor connected to the battery can be accurately determined.
- Electric field intensity at a distance "a" from the left end of the conical conductor: E
- Potential at the same section: V
- Rate of heat generation per unit length at the same section: H
- Conical conductor connected to a battery with emf E
Analysis:
- The conical shape of the conductor indicates that the electric field and potential will vary along its length.
- The electric field intensity, potential, and heat generation rate are related through the following equations:
- E = -dV/dr
- H = σE^2
Solution:
1. Electric Field Intensity (E):
Since the electric field intensity is given as E at a distance "a" from the left end of the conical conductor, it can be used to find the potential V at that section using the relation E = -dV/dr.
2. Potential (V):
Integrate the electric field intensity E with respect to distance to find the potential V at a distance "a" from the left end of the conical conductor.
3. Rate of Heat Generation per Unit Length (H):
Once the potential V is determined, the electric field intensity E can be calculated using the relation E = -dV/dr. Then, the rate of heat generation per unit length H can be found using the equation H = σE^2.
Conclusion:
By following the above steps, the correct options for the electric field intensity, potential, and rate of heat generation per unit length at a section "a" from the left end of the conical conductor connected to the battery can be accurately determined.
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The electric field intensity, potential and rate of heat generation per unit length are E, V and H at a section distant "a" from left end of a conical shaped conductor connected to a battery of emf E, as shown. Find correct options:?
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The electric field intensity, potential and rate of heat generation per unit length are E, V and H at a section distant "a" from left end of a conical shaped conductor connected to a battery of emf E, as shown. Find correct options:? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The electric field intensity, potential and rate of heat generation per unit length are E, V and H at a section distant "a" from left end of a conical shaped conductor connected to a battery of emf E, as shown. Find correct options:? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The electric field intensity, potential and rate of heat generation per unit length are E, V and H at a section distant "a" from left end of a conical shaped conductor connected to a battery of emf E, as shown. Find correct options:?.
The electric field intensity, potential and rate of heat generation per unit length are E, V and H at a section distant "a" from left end of a conical shaped conductor connected to a battery of emf E, as shown. Find correct options:? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The electric field intensity, potential and rate of heat generation per unit length are E, V and H at a section distant "a" from left end of a conical shaped conductor connected to a battery of emf E, as shown. Find correct options:? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The electric field intensity, potential and rate of heat generation per unit length are E, V and H at a section distant "a" from left end of a conical shaped conductor connected to a battery of emf E, as shown. Find correct options:?.
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