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Three identical impedances are connected in delta. The load is supplied by a 3- phase supply of 300 V. The line current is 30√3A. Calculate the impeda
Question

Three identical impedances are connected in delta. The load is supplied by a 3- phase supply of 300 V. The line current is 30√3A. Calculate the impedance per phase.

A.

20 Ω

B.

10 √3 Ω

C.

30 Ω

D.

10 Ω

Correct option is D

For delta-connected system: Line voltage VL=Vp Phase current Ip=IL3Given: VL=300 V IL=303 ACalculation:Ip=3033=30 AZ=VpIp=30030=10 Ω\text{For delta-connected system:} \\[4pt]\bullet \; \text{Line voltage } V_L = V_p \\[4pt]\bullet \; \text{Phase current } I_p = \frac{I_L}{\sqrt{3}} \\[8pt]\text{Given:} \\[4pt]\bullet \; V_L = 300\,\text{V} \\[4pt]\bullet \; I_L = 30\sqrt{3}\,\text{A} \\[8pt]\textbf{Calculation:} \\[4pt]I_p = \frac{30\sqrt{3}}{\sqrt{3}} = 30\,\text{A} \\[6pt]Z = \frac{V_p}{I_p} = \frac{300}{30} = 10\,\Omega​​

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