Two parallel, infinitely long, z- axis oriented conducting cylinders of radius "a" are a distance "b" apart. "b" is much, much, greater than "a". Both cylinders carry a current, "I", of the same magnitude but opposite direction. The current is flowing uniformly through the cross-section of the conductors. Find the approximate B field at y = 103 "b" %3D In a Ho аф la (:) O Ho In b. THo In () ad a O aó THO In (4) O None of these
Two parallel, infinitely long, z- axis oriented conducting cylinders of radius "a" are a distance "b" apart. "b" is much, much, greater than "a". Both cylinders carry a current, "I", of the same magnitude but opposite direction. The current is flowing uniformly through the cross-section of the conductors. Find the approximate B field at y = 103 "b" %3D In a Ho аф la (:) O Ho In b. THo In () ad a O aó THO In (4) O None of these
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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![**Problem Statement:**
Two parallel, infinitely long, z-axis oriented conducting cylinders of radius "a" are a distance "b" apart. "b" is much, much greater than "a". Both cylinders carry a current, "I", of the same magnitude but opposite direction. The current is flowing uniformly through the cross-section of the conductors.
Find the approximate B field at \( y = 10^3 b \).
**Options:**
- \( \frac{\mu_0}{2\pi} \ln \left( \frac{b}{a} \right) \, a_\phi \)
- \( \frac{\mu_0}{\pi \ln \left( \frac{b}{a} \right)} \, a_\phi \)
- \( \frac{\mu_0}{\pi} \ln \left( \frac{b}{a} \right) \, a_\phi \)
- \( \pi \mu_0 \ln \left( \frac{b}{a} \right) \, a_\phi \)
- \( 0 \, a_\phi \)
- \( \pi \mu_0 \ln \left( \frac{a}{b} \right) \, a_\phi \)
- None of these](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf0a178e-b4ea-4552-8c3f-e1ff6984e724%2F2afc4aea-8fed-4726-893d-aec2f986e039%2F8a1yk6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Two parallel, infinitely long, z-axis oriented conducting cylinders of radius "a" are a distance "b" apart. "b" is much, much greater than "a". Both cylinders carry a current, "I", of the same magnitude but opposite direction. The current is flowing uniformly through the cross-section of the conductors.
Find the approximate B field at \( y = 10^3 b \).
**Options:**
- \( \frac{\mu_0}{2\pi} \ln \left( \frac{b}{a} \right) \, a_\phi \)
- \( \frac{\mu_0}{\pi \ln \left( \frac{b}{a} \right)} \, a_\phi \)
- \( \frac{\mu_0}{\pi} \ln \left( \frac{b}{a} \right) \, a_\phi \)
- \( \pi \mu_0 \ln \left( \frac{b}{a} \right) \, a_\phi \)
- \( 0 \, a_\phi \)
- \( \pi \mu_0 \ln \left( \frac{a}{b} \right) \, a_\phi \)
- None of these
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