वायु में रखे गए 100π A विद्युत धारा प्रवाहित करने वाले एक लंबे वृत्तीय चालक से 10 cm की दूरी पर चुंबकीय बल और अभिवाह घनत्व के संबंधित मानों की गणना कीजिए?

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SSC JE Electrical 9 Oct 2023 Shift 3 Official Paper-I
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  1. 6.28 × 10-7 AT/m और 500 Wb/m2
  2. 50 Wb/m2 और 6.28 × 10-7 AT/m
  3. 500 AT/m और 6.28 × 10-4 Wb/m2
  4. 1500 Wb/m2 और 3.14 × 10-4 AT/m

Answer (Detailed Solution Below)

Option 3 : 500 AT/m और 6.28 × 10-4 Wb/m2
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Detailed Solution

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संकल्पना

एक वृत्तीय चालक के लिए चुंबकीय बल (H) निम्न द्वारा दिया जाता है?:

\(H={I\over 2π d}\)

जहाँ, I = धारा & d = दूरी

फ्लक्स घनत्व (B) निम्न द्वारा दिया गया है:

B = μoμr × H

μo = पारं पारगम्यता

μr = सापेक्ष पारगम्यता

गणना

दिया गया है,  I = 100π A

d = 10 cm

\(H={100π\over 2π 10× 10^{-2}}\)

H = 500 AT/m

वायु के लिए, μr = 1

B = 4π × 10-7 × 500 

B = 6.28 × 10-4 AT/m

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