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Network Elements and the Concept of Circuit

  1. A parallel circuit has two branches. In one branch, R and L are in series and in the other branch, R and C are in series. The circuit will exhibit unity power factor when
    1. R =
      L
      C
    2. R = LC
    3. R =
      C
      L
    4. R =
      L
      C
Correct Option: A

We know that qualify factor Q is given by relation
Q = ωCR

where    ω =
1
LC

At    Q = 1
1 = ωCR =
1
CR
LC

or    R =
L
C

Hence alternative (A) is correct choice.



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