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

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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
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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