दस प्रतिरोधक, जिनमें से प्रत्येक का प्रतिरोध 1 kΩ है, समानांतर क्रम में जुड़े हुए हैं। समानांतर संयोजन का तुल्य प्रतिरोध ज्ञात कीजिए।

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MPPGCL JE Electrical 28 April 2023 Shift 2 Official Paper
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  1. 1 kΩ
  2. 100 Ω
  3. 10 Ω
  4. 10 kΩ

Answer (Detailed Solution Below)

Option 2 : 100 Ω
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Detailed Solution

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संप्रत्यय

जब 'n' प्रतिरोधक श्रेणीक्रम में जुड़े होते हैं, तो तुल्य प्रतिरोध दिया जाता है:

\(R_{eq}=R_1+R_2.........R_n\)

यदि सभी प्रतिरोधक समान हैं, तो:

\(R_{eq}=nR\)

जब 'n' प्रतिरोधक समानांतर क्रम में जुड़े होते हैं, तो तुल्य प्रतिरोध दिया जाता है:

\({1\over R_{eq}}={1\over R_1}+{1\over R_2}.........{1\over R_n}\)

यदि सभी प्रतिरोधक समान हैं, तो:

\(R_{eq}={R\over n}\)

परिकलन

दिया गया है, n = 10

R = 1 kΩ = 1000 Ω

दिए गए प्रतिरोधक समानांतर क्रम में जुड़े हुए हैं।

\(R_{eq}={1000\over 10}=100\space Ω\)

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