80 cm लंबी निकट रूप से कुंडलित परिनालिका में 5 परतें हैं और प्रत्येक में 400 फेरें हैं। परिनालिका का व्यास 1.8 cm है। यदि प्रवाहित धारा 8.0 A है, तो परिनालिका के अंदर (केंद्र के पास) चुंबकीय क्षेत्र का परिमाण निम्न है:

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  1. 2 T
  2. 2.5 T
  3. 2 × 10-2 T
  4. 2.5 × 10-2 T

Answer (Detailed Solution Below)

Option 4 : 2.5 × 10-2 T
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दिया गया​ है:

परिनालिका की लंबाई, l = 80 cm = 0.8 m


फेरों की संख्या N = 400


परिनालिका का व्यास, D = 1.8 cm = 0.018 m


परिनालिका द्वारा प्रवाहित धारा, I = 8.0 A

पारगम्‍यता \(\mu_o=4\pi \times10^{-7}TmA^{-1}\)

संकल्पना:

इसके केंद्र के पास परिनालिका के अंदर चुंबकीय क्षेत्र का परिमाण निम्न संबंध द्वारा दिया जाता है:

\(B=\frac{\mu_0 NI}{l}\)

स्पष्टीकरण:

परिनालिका में कुल फेरों की संख्या N = \(5\times400=2000\ turns\)

\(B=\frac{\mu_0 NI}{l}\) ⇒ \(B=\frac{4\pi\times 10^{-7}\times2000\times 8}{0.8}\)

\(B=2.5\times10^{-2}T\)

अतः, सही उत्तर विकल्प (4) है।

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