IIT JAM Exam > IIT JAM Questions > An infinitely long very thin straight wire ca...
Start Learning for Free
An infinitely long very thin straight wire carries uniform line charge density 8π × 10–2 C/m. The magnitude of electric displacement vector at a point located 20 mm away from the axis of the wire is ______ C/m2.
Correct answer is '2'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
An infinitely long very thin straight wire carries uniform line charge...
Π μC/m.
a) Determine the electric field at a distance of 4 cm from the wire.
b) Determine the potential difference between two points, one at a distance of 1 cm from the wire and the other at a distance of 5 cm from the wire.
a) To determine the electric field at a distance of 4 cm from the wire, we can use the formula for the electric field due to a charged wire:
E = λ/(2πεr)
where λ is the line charge density, ε is the permittivity of free space, and r is the distance from the wire.
Plugging in the given values, we get:
E = (8π × 10^-6)/(2π × 8.85 × 10^-12 × 0.04)
E = 45.2 N/C
Therefore, the electric field at a distance of 4 cm from the wire is 45.2 N/C.
b) To determine the potential difference between two points, we can use the formula:
ΔV = -∫E·dr
where ΔV is the potential difference, E is the electric field, and the integral is taken along the path between the two points.
For the given situation, we can choose a path that is perpendicular to the wire, so that the electric field is constant and pointing radially outward from the wire. The magnitude of the electric field is the same as in part (a), so we have:
E = 45.2 N/C
The path length is 4 cm for the first segment (between the wire and the point at 1 cm), and 1 cm for the second segment (between the two points). Therefore, we have:
ΔV = -E(0.04) - E(0.01)
ΔV = -2.25 V
Therefore, the potential difference between the two points is 2.25 V (with the potential at the point 1 cm from the wire being higher than the potential at the point 5 cm from the wire).
a) Determine the electric field at a distance of 4 cm from the wire.
b) Determine the potential difference between two points, one at a distance of 1 cm from the wire and the other at a distance of 5 cm from the wire.
a) To determine the electric field at a distance of 4 cm from the wire, we can use the formula for the electric field due to a charged wire:
E = λ/(2πεr)
where λ is the line charge density, ε is the permittivity of free space, and r is the distance from the wire.
Plugging in the given values, we get:
E = (8π × 10^-6)/(2π × 8.85 × 10^-12 × 0.04)
E = 45.2 N/C
Therefore, the electric field at a distance of 4 cm from the wire is 45.2 N/C.
b) To determine the potential difference between two points, we can use the formula:
ΔV = -∫E·dr
where ΔV is the potential difference, E is the electric field, and the integral is taken along the path between the two points.
For the given situation, we can choose a path that is perpendicular to the wire, so that the electric field is constant and pointing radially outward from the wire. The magnitude of the electric field is the same as in part (a), so we have:
E = 45.2 N/C
The path length is 4 cm for the first segment (between the wire and the point at 1 cm), and 1 cm for the second segment (between the two points). Therefore, we have:
ΔV = -E(0.04) - E(0.01)
ΔV = -2.25 V
Therefore, the potential difference between the two points is 2.25 V (with the potential at the point 1 cm from the wire being higher than the potential at the point 5 cm from the wire).
|
Explore Courses for IIT JAM exam
|
|
Similar IIT JAM Doubts
An infinitely long very thin straight wire carries uniform line charge density 8π × 10–2 C/m. The magnitude of electric displacement vector at a point located 20 mm away from the axis of the wire is ______ C/m2.Correct answer is '2'. Can you explain this answer?
Question Description
An infinitely long very thin straight wire carries uniform line charge density 8π × 10–2 C/m. The magnitude of electric displacement vector at a point located 20 mm away from the axis of the wire is ______ C/m2.Correct answer is '2'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about An infinitely long very thin straight wire carries uniform line charge density 8π × 10–2 C/m. The magnitude of electric displacement vector at a point located 20 mm away from the axis of the wire is ______ C/m2.Correct answer is '2'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An infinitely long very thin straight wire carries uniform line charge density 8π × 10–2 C/m. The magnitude of electric displacement vector at a point located 20 mm away from the axis of the wire is ______ C/m2.Correct answer is '2'. Can you explain this answer?.
An infinitely long very thin straight wire carries uniform line charge density 8π × 10–2 C/m. The magnitude of electric displacement vector at a point located 20 mm away from the axis of the wire is ______ C/m2.Correct answer is '2'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about An infinitely long very thin straight wire carries uniform line charge density 8π × 10–2 C/m. The magnitude of electric displacement vector at a point located 20 mm away from the axis of the wire is ______ C/m2.Correct answer is '2'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An infinitely long very thin straight wire carries uniform line charge density 8π × 10–2 C/m. The magnitude of electric displacement vector at a point located 20 mm away from the axis of the wire is ______ C/m2.Correct answer is '2'. Can you explain this answer?.
Solutions for An infinitely long very thin straight wire carries uniform line charge density 8π × 10–2 C/m. The magnitude of electric displacement vector at a point located 20 mm away from the axis of the wire is ______ C/m2.Correct answer is '2'. Can you explain this answer? in English & in Hindi are available as part of our courses for IIT JAM.
Download more important topics, notes, lectures and mock test series for IIT JAM Exam by signing up for free.
Here you can find the meaning of An infinitely long very thin straight wire carries uniform line charge density 8π × 10–2 C/m. The magnitude of electric displacement vector at a point located 20 mm away from the axis of the wire is ______ C/m2.Correct answer is '2'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
An infinitely long very thin straight wire carries uniform line charge density 8π × 10–2 C/m. The magnitude of electric displacement vector at a point located 20 mm away from the axis of the wire is ______ C/m2.Correct answer is '2'. Can you explain this answer?, a detailed solution for An infinitely long very thin straight wire carries uniform line charge density 8π × 10–2 C/m. The magnitude of electric displacement vector at a point located 20 mm away from the axis of the wire is ______ C/m2.Correct answer is '2'. Can you explain this answer? has been provided alongside types of An infinitely long very thin straight wire carries uniform line charge density 8π × 10–2 C/m. The magnitude of electric displacement vector at a point located 20 mm away from the axis of the wire is ______ C/m2.Correct answer is '2'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice An infinitely long very thin straight wire carries uniform line charge density 8π × 10–2 C/m. The magnitude of electric displacement vector at a point located 20 mm away from the axis of the wire is ______ C/m2.Correct answer is '2'. Can you explain this answer? tests, examples and also practice IIT JAM tests.
|
|
Explore Courses for IIT JAM exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup