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A steady current is passing through a linear conductor of non-uniform cross-section. The current density in the conductor is
- a)independent of area of cross-section
- b)directly proportional to area of cross-section
- c)inversely proportional to area of cross-section
- d)inversely proportional to the square root of area of cross-section
Correct answer is option 'C'. Can you explain this answer?
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A steady current is passing through a linear conductor of non-uniform ...
Current density is equal to Electric current divided by a given surface area, or it is the current flowing per a given cross section area.
The current density decreases with increase in cross section area which means they are inversely proportional.
The current density decreases with increase in cross section area which means they are inversely proportional.
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A steady current is passing through a linear conductor of non-uniform ...
The current density in a conductor refers to the amount of current flowing through a unit area of the conductor. In the given scenario, the conductor has a non-uniform cross-section, meaning that the area of the cross-section varies along the length of the conductor.
To understand why the current density is inversely proportional to the area of the cross-section, let's consider a simple analogy. Imagine a pipe with different diameters at different sections. If water is flowing through this pipe at a steady rate, the velocity of the water will change as it passes through different sections. In narrower sections, the water velocity will be higher, and in wider sections, the water velocity will be lower. This is because the same amount of water must flow through each section, and in narrower sections, the water needs to flow faster to maintain the same rate of flow.
Similarly, in a conductor with a non-uniform cross-section, the current must flow through different areas. Since the same amount of current passes through each section, the current density will vary inversely with the area of the cross-section. The narrower sections will have a higher current density, and the wider sections will have a lower current density.
To mathematically represent this relationship, let's assume that the current passing through the conductor is I, and the cross-sectional area at a particular section is A. The current density J is defined as the ratio of the current I to the area A:
J = I / A
Since the current I is constant throughout the conductor, and the area A varies, it is evident that the current density J is inversely proportional to the area of the cross-section A.
Therefore, the correct answer is option 'C': the current density in a conductor with a non-uniform cross-section is inversely proportional to the area of the cross-section.
To understand why the current density is inversely proportional to the area of the cross-section, let's consider a simple analogy. Imagine a pipe with different diameters at different sections. If water is flowing through this pipe at a steady rate, the velocity of the water will change as it passes through different sections. In narrower sections, the water velocity will be higher, and in wider sections, the water velocity will be lower. This is because the same amount of water must flow through each section, and in narrower sections, the water needs to flow faster to maintain the same rate of flow.
Similarly, in a conductor with a non-uniform cross-section, the current must flow through different areas. Since the same amount of current passes through each section, the current density will vary inversely with the area of the cross-section. The narrower sections will have a higher current density, and the wider sections will have a lower current density.
To mathematically represent this relationship, let's assume that the current passing through the conductor is I, and the cross-sectional area at a particular section is A. The current density J is defined as the ratio of the current I to the area A:
J = I / A
Since the current I is constant throughout the conductor, and the area A varies, it is evident that the current density J is inversely proportional to the area of the cross-section A.
Therefore, the correct answer is option 'C': the current density in a conductor with a non-uniform cross-section is inversely proportional to the area of the cross-section.
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A steady current is passing through a linear conductor of non-uniform cross-section. The current density in the conductor isa)independent of area of cross-sectionb)directly proportional to area of cross-sectionc)inversely proportional to area of cross-sectiond)inversely proportional to the square root of area of cross-sectionCorrect answer is option 'C'. Can you explain this answer?
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A steady current is passing through a linear conductor of non-uniform cross-section. The current density in the conductor isa)independent of area of cross-sectionb)directly proportional to area of cross-sectionc)inversely proportional to area of cross-sectiond)inversely proportional to the square root of area of cross-sectionCorrect answer is option 'C'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A steady current is passing through a linear conductor of non-uniform cross-section. The current density in the conductor isa)independent of area of cross-sectionb)directly proportional to area of cross-sectionc)inversely proportional to area of cross-sectiond)inversely proportional to the square root of area of cross-sectionCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A steady current is passing through a linear conductor of non-uniform cross-section. The current density in the conductor isa)independent of area of cross-sectionb)directly proportional to area of cross-sectionc)inversely proportional to area of cross-sectiond)inversely proportional to the square root of area of cross-sectionCorrect answer is option 'C'. Can you explain this answer?.
A steady current is passing through a linear conductor of non-uniform cross-section. The current density in the conductor isa)independent of area of cross-sectionb)directly proportional to area of cross-sectionc)inversely proportional to area of cross-sectiond)inversely proportional to the square root of area of cross-sectionCorrect answer is option 'C'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A steady current is passing through a linear conductor of non-uniform cross-section. The current density in the conductor isa)independent of area of cross-sectionb)directly proportional to area of cross-sectionc)inversely proportional to area of cross-sectiond)inversely proportional to the square root of area of cross-sectionCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A steady current is passing through a linear conductor of non-uniform cross-section. The current density in the conductor isa)independent of area of cross-sectionb)directly proportional to area of cross-sectionc)inversely proportional to area of cross-sectiond)inversely proportional to the square root of area of cross-sectionCorrect answer is option 'C'. Can you explain this answer?.
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