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Three resistors of 4Ω, 12Ω , and 6Ω are connected in parallel. No. of 12Ω resistors required to be connected in parallel to reduce the total resistance to half of its original is
  • a)
    6
  • b)
    3
  • c)
    12
  • d)
    2
Correct answer is 'A'. Can you explain this answer?
Most Upvoted Answer
Three resistors of 4Ω, 12Ω , and 6Ω are connected in pa...
Here 4 Ω, 12 Ω, 6 Ω when connected in parallel results in 2Ω. to reduce it to half we have to join 1\R original = 6\12 for reducing it to half we have to join 6 , 12 Ω  resistors in parallel (6\12) + (1\ 12 × 6) = 12\12 = 1 ohm . Half of its original value therefore option a is correct.
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Three resistors of 4Ω, 12Ω , and 6Ω are connected in pa...
RT1=R4R12R6÷(R4+R12+R6)
RT2=R4R12R6÷(nR4+R12+R6)
RT1=4×12×6÷(4+12+6)=144/11. ,RT2=1/2RT1
1/2RT1=4×12×6÷(n4+12+6)
1/2×(144÷11)=288÷(4n+18)
9+2n=22
2n=13. n=6.5 ~n=6
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Three resistors of 4Ω, 12Ω , and 6Ω are connected in parallel. No. of 12Ω resistors required to be connected in parallel to reduce the total resistance to half of its original isa)6b)3c)12d)2Correct answer is 'A'. Can you explain this answer?
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Three resistors of 4Ω, 12Ω , and 6Ω are connected in parallel. No. of 12Ω resistors required to be connected in parallel to reduce the total resistance to half of its original isa)6b)3c)12d)2Correct answer is 'A'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Three resistors of 4Ω, 12Ω , and 6Ω are connected in parallel. No. of 12Ω resistors required to be connected in parallel to reduce the total resistance to half of its original isa)6b)3c)12d)2Correct answer is 'A'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three resistors of 4Ω, 12Ω , and 6Ω are connected in parallel. No. of 12Ω resistors required to be connected in parallel to reduce the total resistance to half of its original isa)6b)3c)12d)2Correct answer is 'A'. Can you explain this answer?.
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