NEET Exam > NEET Questions > A long straight wire(radius=3mm) carries a co...
Start Learning for Free
A long straight wire(radius=3mm) carries a constant current distributed uniformly over a cross section perpendicular axis of the wire. If the current density is 100 A/m^2. The magnitude of the magnetic field at (a) 2mm from the axis of the wire and (b) 4mm from the axis of the wire is (1) 2π×10^-8 T, 9π/2 ×10^-8 T (2) 4π ×10^-8 T, π/2×10^-8 T (3) 4π×10^-8 T, 9π/2×10^-8 T (4) π×10^-4 T, 9π/2×10^-8 T?
Most Upvoted Answer
A long straight wire(radius=3mm) carries a constant current distribute...
Calculation of Magnetic Field on the Axis of the Wire
The magnetic field on the axis of the wire can be calculated using the Biot-Savart Law, which states that the magnetic field at a point due to a current-carrying wire is directly proportional to the current, length of the wire, and inversely proportional to the distance from the wire.
- Formula: B = μ₀I/2πr
- Here, B - magnetic field, μ₀ - magnetic constant (4π×10^-7 Tm/A), I - current, and r - distance from the wire.
Substituting the given values, we get:
- For r = 0 (on the axis): B = μ₀I/2πr = ∞ (as r → 0)
- For r = 2mm: B = μ₀I/2πr = (4π×10^-7 Tm/A) × (100 A/m^2) / (2π × 0.002 m) = 10^-4 T
- For r = 4mm: B = μ₀I/2πr = (4π×10^-7 Tm/A) × (100 A/m^2) / (2π × 0.004 m) = 9π/2 × 10^-8 T
Answer: Option (1) 2π×10^-8 T, 9π/2 ×10^-8 T
Explanation:
- The magnetic field on the axis of the wire is infinite as the distance from the wire approaches zero.
- As the distance from the wire increases, the magnetic field decreases and follows an inverse square law.
- At a distance of 2mm from the wire, the magnetic field is 10^-4 T, which is the highest value in the given options.
- At a distance of 4mm from the wire, the magnetic field is 9π/2 × 10^-8 T, which matches with option (1).
The magnetic field on the axis of the wire can be calculated using the Biot-Savart Law, which states that the magnetic field at a point due to a current-carrying wire is directly proportional to the current, length of the wire, and inversely proportional to the distance from the wire.
- Formula: B = μ₀I/2πr
- Here, B - magnetic field, μ₀ - magnetic constant (4π×10^-7 Tm/A), I - current, and r - distance from the wire.
Substituting the given values, we get:
- For r = 0 (on the axis): B = μ₀I/2πr = ∞ (as r → 0)
- For r = 2mm: B = μ₀I/2πr = (4π×10^-7 Tm/A) × (100 A/m^2) / (2π × 0.002 m) = 10^-4 T
- For r = 4mm: B = μ₀I/2πr = (4π×10^-7 Tm/A) × (100 A/m^2) / (2π × 0.004 m) = 9π/2 × 10^-8 T
Answer: Option (1) 2π×10^-8 T, 9π/2 ×10^-8 T
Explanation:
- The magnetic field on the axis of the wire is infinite as the distance from the wire approaches zero.
- As the distance from the wire increases, the magnetic field decreases and follows an inverse square law.
- At a distance of 2mm from the wire, the magnetic field is 10^-4 T, which is the highest value in the given options.
- At a distance of 4mm from the wire, the magnetic field is 9π/2 × 10^-8 T, which matches with option (1).
Community Answer
A long straight wire(radius=3mm) carries a constant current distribute...
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
Explore Courses for NEET exam
|
|
Similar NEET Doubts
Top Courses for NEETView all
A long straight wire(radius=3mm) carries a constant current distributed uniformly over a cross section perpendicular axis of the wire. If the current density is 100 A/m^2. The magnitude of the magnetic field at (a) 2mm from the axis of the wire and (b) 4mm from the axis of the wire is (1) 2π×10^-8 T, 9π/2 ×10^-8 T (2) 4π ×10^-8 T, π/2×10^-8 T (3) 4π×10^-8 T, 9π/2×10^-8 T (4) π×10^-4 T, 9π/2×10^-8 T?
Question Description
A long straight wire(radius=3mm) carries a constant current distributed uniformly over a cross section perpendicular axis of the wire. If the current density is 100 A/m^2. The magnitude of the magnetic field at (a) 2mm from the axis of the wire and (b) 4mm from the axis of the wire is (1) 2π×10^-8 T, 9π/2 ×10^-8 T (2) 4π ×10^-8 T, π/2×10^-8 T (3) 4π×10^-8 T, 9π/2×10^-8 T (4) π×10^-4 T, 9π/2×10^-8 T? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A long straight wire(radius=3mm) carries a constant current distributed uniformly over a cross section perpendicular axis of the wire. If the current density is 100 A/m^2. The magnitude of the magnetic field at (a) 2mm from the axis of the wire and (b) 4mm from the axis of the wire is (1) 2π×10^-8 T, 9π/2 ×10^-8 T (2) 4π ×10^-8 T, π/2×10^-8 T (3) 4π×10^-8 T, 9π/2×10^-8 T (4) π×10^-4 T, 9π/2×10^-8 T? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A long straight wire(radius=3mm) carries a constant current distributed uniformly over a cross section perpendicular axis of the wire. If the current density is 100 A/m^2. The magnitude of the magnetic field at (a) 2mm from the axis of the wire and (b) 4mm from the axis of the wire is (1) 2π×10^-8 T, 9π/2 ×10^-8 T (2) 4π ×10^-8 T, π/2×10^-8 T (3) 4π×10^-8 T, 9π/2×10^-8 T (4) π×10^-4 T, 9π/2×10^-8 T?.
A long straight wire(radius=3mm) carries a constant current distributed uniformly over a cross section perpendicular axis of the wire. If the current density is 100 A/m^2. The magnitude of the magnetic field at (a) 2mm from the axis of the wire and (b) 4mm from the axis of the wire is (1) 2π×10^-8 T, 9π/2 ×10^-8 T (2) 4π ×10^-8 T, π/2×10^-8 T (3) 4π×10^-8 T, 9π/2×10^-8 T (4) π×10^-4 T, 9π/2×10^-8 T? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A long straight wire(radius=3mm) carries a constant current distributed uniformly over a cross section perpendicular axis of the wire. If the current density is 100 A/m^2. The magnitude of the magnetic field at (a) 2mm from the axis of the wire and (b) 4mm from the axis of the wire is (1) 2π×10^-8 T, 9π/2 ×10^-8 T (2) 4π ×10^-8 T, π/2×10^-8 T (3) 4π×10^-8 T, 9π/2×10^-8 T (4) π×10^-4 T, 9π/2×10^-8 T? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A long straight wire(radius=3mm) carries a constant current distributed uniformly over a cross section perpendicular axis of the wire. If the current density is 100 A/m^2. The magnitude of the magnetic field at (a) 2mm from the axis of the wire and (b) 4mm from the axis of the wire is (1) 2π×10^-8 T, 9π/2 ×10^-8 T (2) 4π ×10^-8 T, π/2×10^-8 T (3) 4π×10^-8 T, 9π/2×10^-8 T (4) π×10^-4 T, 9π/2×10^-8 T?.
Solutions for A long straight wire(radius=3mm) carries a constant current distributed uniformly over a cross section perpendicular axis of the wire. If the current density is 100 A/m^2. The magnitude of the magnetic field at (a) 2mm from the axis of the wire and (b) 4mm from the axis of the wire is (1) 2π×10^-8 T, 9π/2 ×10^-8 T (2) 4π ×10^-8 T, π/2×10^-8 T (3) 4π×10^-8 T, 9π/2×10^-8 T (4) π×10^-4 T, 9π/2×10^-8 T? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of A long straight wire(radius=3mm) carries a constant current distributed uniformly over a cross section perpendicular axis of the wire. If the current density is 100 A/m^2. The magnitude of the magnetic field at (a) 2mm from the axis of the wire and (b) 4mm from the axis of the wire is (1) 2π×10^-8 T, 9π/2 ×10^-8 T (2) 4π ×10^-8 T, π/2×10^-8 T (3) 4π×10^-8 T, 9π/2×10^-8 T (4) π×10^-4 T, 9π/2×10^-8 T? defined & explained in the simplest way possible. Besides giving the explanation of
A long straight wire(radius=3mm) carries a constant current distributed uniformly over a cross section perpendicular axis of the wire. If the current density is 100 A/m^2. The magnitude of the magnetic field at (a) 2mm from the axis of the wire and (b) 4mm from the axis of the wire is (1) 2π×10^-8 T, 9π/2 ×10^-8 T (2) 4π ×10^-8 T, π/2×10^-8 T (3) 4π×10^-8 T, 9π/2×10^-8 T (4) π×10^-4 T, 9π/2×10^-8 T?, a detailed solution for A long straight wire(radius=3mm) carries a constant current distributed uniformly over a cross section perpendicular axis of the wire. If the current density is 100 A/m^2. The magnitude of the magnetic field at (a) 2mm from the axis of the wire and (b) 4mm from the axis of the wire is (1) 2π×10^-8 T, 9π/2 ×10^-8 T (2) 4π ×10^-8 T, π/2×10^-8 T (3) 4π×10^-8 T, 9π/2×10^-8 T (4) π×10^-4 T, 9π/2×10^-8 T? has been provided alongside types of A long straight wire(radius=3mm) carries a constant current distributed uniformly over a cross section perpendicular axis of the wire. If the current density is 100 A/m^2. The magnitude of the magnetic field at (a) 2mm from the axis of the wire and (b) 4mm from the axis of the wire is (1) 2π×10^-8 T, 9π/2 ×10^-8 T (2) 4π ×10^-8 T, π/2×10^-8 T (3) 4π×10^-8 T, 9π/2×10^-8 T (4) π×10^-4 T, 9π/2×10^-8 T? theory, EduRev gives you an
ample number of questions to practice A long straight wire(radius=3mm) carries a constant current distributed uniformly over a cross section perpendicular axis of the wire. If the current density is 100 A/m^2. The magnitude of the magnetic field at (a) 2mm from the axis of the wire and (b) 4mm from the axis of the wire is (1) 2π×10^-8 T, 9π/2 ×10^-8 T (2) 4π ×10^-8 T, π/2×10^-8 T (3) 4π×10^-8 T, 9π/2×10^-8 T (4) π×10^-4 T, 9π/2×10^-8 T? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup