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Electric circuits miscellaneous

  1. If 3-phase balanced source in the given figure delivers 1500 W at a leading power factor of 0.844, then value of ZL (in ohm) is approximately

    1. 90 ∠ 32.44 °
    2. 80 ∠ 32.44 °
    3. 80 ∠ – 32.44 °
    4. 90 ∠ – 32.44 °
Correct Option: D

We know, 3VP IP cos θ = 1500

⇒ 3.
VL
.
VL
cos θ = 1500
33 ZL

⇒ ZL =
VL . cos θ
1500

=
4002 . (0.844)
= 90 Ω
1500

and θ = ∠– cos-1 (0.844)
= ∠– 32.44° [negative indicates lagging]



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