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 Current density in a cylindrical wire of radius R is given as . The current flowing in the wire is
  • a)
     
  • b)
     
  • c)
  • d)
     
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Current density in a cylindrical wire of radius R is given as. The cur...

J= {J0[(x/R)-1] 0 ≤ x ≤ R/2,     {J0(x/R) R/2 ≤ x ≤ R
 We know that,
J=current/area
⇒ current=J Area
Current= J1A1 +J2A2
=J0{(x/R)−1}x(2πxdx)+J0 (x/R)(2πxdx)
=∫0R/2J0{(x/R)-1} x (2πxdx) + =∫0R/2J0 x 2π (x2/R)dx
= J0×2π∫0R/2 {(x2/R)−x}dx + (J0×2π/R) ∫RR/2 x2dx
⇒ i=J0×2π [(x3/3R)-(x2/2)] R/2 + (J0×2π/R) [x3/3]R2/R
⇒i=J0×2π [(R2/24)−(R2/8)]+ (J0×2π/R)[(R3/3)-(R3/24)]
=J0×2π(−2R2/24)(J0×2π/R)[7R3/24]
i =(5/12)πJ0R2
 
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Most Upvoted Answer
Current density in a cylindrical wire of radius R is given as. The cur...
B) Copper is not a poor conductor.

Explanation:
- Copper is a good conductor of electricity and heat.
- It is widely used in electrical wiring, electronics, and many other applications that require the efficient flow of electricity.
- Copper has a high electrical conductivity, meaning that it allows electric current to flow easily through it.
- It also has a high thermal conductivity, meaning that it can transfer heat efficiently.
- Due to these properties, copper is considered one of the best conductors of electricity and heat among common metals.
- The high conductivity of copper is due to its atomic structure. Copper atoms have one free electron in their outermost energy level, which can move freely and carry electric charge.
- This delocalized electron cloud allows copper to conduct electricity efficiently.
- In contrast, poor conductors or insulators have tightly bound electrons that are not free to move, thus hindering the flow of electric current.
- Examples of poor conductors include cast iron, carbon, and tungsten.
- Cast iron is a relatively poor conductor compared to copper due to its microstructure, which consists of graphite flakes in an iron matrix. These graphite flakes act as barriers to the flow of electricity.
- Carbon, in its pure form, is a non-metal and a poor conductor of electricity. However, certain forms of carbon, such as graphite, can conduct electricity due to their layered structure and delocalized electrons.
- Tungsten is a metal with a relatively high electrical resistance, making it a poor conductor compared to copper. It is often used as a filament in incandescent light bulbs due to its high melting point and resistance to heat.
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Community Answer
Current density in a cylindrical wire of radius R is given as. The cur...
I = JdA J = J.x/R (given) A = 2πx.dx I = J.x/R. 2πxdx I = 2πJ. /R. x²dx I = 2πJ. /R. |x²|(lim. R to R/2) I = 2πJ. /R. [x³/3](lim. R to R/2) I = 2πJ. /R. [(R³/3) - ({R/2}²/3)] I = 2πJ /R. 7R³/24 I = 7πJ.R²/12
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Current density in a cylindrical wire of radius R is given as. The current flowing in the wire isa)b)c)d)Correct answer is option 'D'. Can you explain this answer?
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Current density in a cylindrical wire of radius R is given as. The current flowing in the wire isa)b)c)d)Correct answer is option 'D'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Current density in a cylindrical wire of radius R is given as. The current flowing in the wire isa)b)c)d)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Current density in a cylindrical wire of radius R is given as. The current flowing in the wire isa)b)c)d)Correct answer is option 'D'. Can you explain this answer?.
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