A balanced, delta-connected load has an impedance of 3∠30° Ω/phase. What will be the impedance of an equivalent star-connected load?

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  1. 2∠60° Ω/phase
  2. 4∠30° Ω/phase
  3. 3∠90° Ω/phase
  4. 1∠30° Ω/phase

Answer (Detailed Solution Below)

Option 4 : 1∠30° Ω/phase
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Detailed Solution

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Concept:
  • In a balanced three-phase system, the relationship between the impedances of delta (Δ) and star (Y) connections is given by ZY = ZΔ / 3.
  • This relationship applies to both magnitude and phase angle.

Given:

  • Delta-connected impedance (ZΔ) = 3∠30° Ω/phase

To find the equivalent star-connected impedance (ZY):

ZY = ZΔ / 3

Substitute the given delta impedance:

ZY = 3∠30° Ω / 3
ZY = 1∠30° Ω

Therefore, the equivalent star-connected load impedance is 1∠30° Ω/phase.

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