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A steady current is passing through a conductor of non-uniform cross-section. The net quantity of charge crossing any cross-section per second is
- a)independent of area of cross-section
- b)directly proportional to the length of conductor
- c)directly proportional to the area of cross-section
- d)inversely proportional to the length of conductor
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A steady current is passing through a conductor of non-uniform cross-s...
Explanation:
When a steady current passes through a conductor, the net quantity of charge crossing any cross-section per second is indeed independent of the area of cross-section. Let's understand why this is the case.
1. Definition of Current:
Current (I) is defined as the rate of flow of charge. Mathematically, it is given by the equation:
I = Q/t
where I is the current, Q is the quantity of charge, and t is the time taken.
2. Steady Current:
In this scenario, we are dealing with a steady current. This means that the current is constant and does not change with time. Therefore, the net quantity of charge crossing any cross-section per second should also be constant.
3. Cross-sectional Area:
The cross-sectional area of a conductor refers to the area of the conductor when it is cut perpendicular to the direction of the current. In this case, the conductor has a non-uniform cross-section, meaning that the area varies along its length.
4. Quantity of Charge:
The quantity of charge crossing any cross-section per second can be calculated by multiplying the current with the time taken. As the current is constant in a steady current scenario, the quantity of charge crossing any cross-section per second should also be constant.
5. Independence of Area:
Since the quantity of charge crossing any cross-section per second is constant, it is independent of the area of cross-section. This means that even if the area of cross-section varies along the length of the conductor, the net quantity of charge crossing any cross-section per second remains the same.
Conclusion:
In summary, the net quantity of charge crossing any cross-section per second in a steady current is independent of the area of cross-section. This is because the current is constant in a steady current scenario, and the quantity of charge crossing any cross-section per second is determined solely by the current and the time taken.
When a steady current passes through a conductor, the net quantity of charge crossing any cross-section per second is indeed independent of the area of cross-section. Let's understand why this is the case.
1. Definition of Current:
Current (I) is defined as the rate of flow of charge. Mathematically, it is given by the equation:
I = Q/t
where I is the current, Q is the quantity of charge, and t is the time taken.
2. Steady Current:
In this scenario, we are dealing with a steady current. This means that the current is constant and does not change with time. Therefore, the net quantity of charge crossing any cross-section per second should also be constant.
3. Cross-sectional Area:
The cross-sectional area of a conductor refers to the area of the conductor when it is cut perpendicular to the direction of the current. In this case, the conductor has a non-uniform cross-section, meaning that the area varies along its length.
4. Quantity of Charge:
The quantity of charge crossing any cross-section per second can be calculated by multiplying the current with the time taken. As the current is constant in a steady current scenario, the quantity of charge crossing any cross-section per second should also be constant.
5. Independence of Area:
Since the quantity of charge crossing any cross-section per second is constant, it is independent of the area of cross-section. This means that even if the area of cross-section varies along the length of the conductor, the net quantity of charge crossing any cross-section per second remains the same.
Conclusion:
In summary, the net quantity of charge crossing any cross-section per second in a steady current is independent of the area of cross-section. This is because the current is constant in a steady current scenario, and the quantity of charge crossing any cross-section per second is determined solely by the current and the time taken.
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A steady current is passing through a conductor of non-uniform cross-section. The net quantity of charge crossing any cross-section per second isa)independent of area of cross-sectionb)directly proportional to the length of conductorc)directly proportional to the area of cross-sectiond)inversely proportional to the length of conductorCorrect answer is option 'A'. Can you explain this answer?
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A steady current is passing through a conductor of non-uniform cross-section. The net quantity of charge crossing any cross-section per second isa)independent of area of cross-sectionb)directly proportional to the length of conductorc)directly proportional to the area of cross-sectiond)inversely proportional to the length of conductorCorrect answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A steady current is passing through a conductor of non-uniform cross-section. The net quantity of charge crossing any cross-section per second isa)independent of area of cross-sectionb)directly proportional to the length of conductorc)directly proportional to the area of cross-sectiond)inversely proportional to the length of conductorCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A steady current is passing through a conductor of non-uniform cross-section. The net quantity of charge crossing any cross-section per second isa)independent of area of cross-sectionb)directly proportional to the length of conductorc)directly proportional to the area of cross-sectiond)inversely proportional to the length of conductorCorrect answer is option 'A'. Can you explain this answer?.
A steady current is passing through a conductor of non-uniform cross-section. The net quantity of charge crossing any cross-section per second isa)independent of area of cross-sectionb)directly proportional to the length of conductorc)directly proportional to the area of cross-sectiond)inversely proportional to the length of conductorCorrect answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A steady current is passing through a conductor of non-uniform cross-section. The net quantity of charge crossing any cross-section per second isa)independent of area of cross-sectionb)directly proportional to the length of conductorc)directly proportional to the area of cross-sectiond)inversely proportional to the length of conductorCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A steady current is passing through a conductor of non-uniform cross-section. The net quantity of charge crossing any cross-section per second isa)independent of area of cross-sectionb)directly proportional to the length of conductorc)directly proportional to the area of cross-sectiond)inversely proportional to the length of conductorCorrect answer is option 'A'. Can you explain this answer?.
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