Answer to Question #155286 in Electrical Engineering for Sangeetha

Question #155286

An unbalanced four wire star connected load has a balanced voltage of 400v. The load are Z1= 4+j8, Z2= 3+j4, Z3= 15+j20 ohms.


A.) Find the line current

B.) Find the neutral current


1
Expert's answer
2021-01-18T01:17:06-0500

A) Find the line currents:


"I=\\frac VZ,\\\\\\space\\\\\nI_1=\\frac{V_1}{Z_1}=\\frac{400\/\\sqrt3}{4+j8}=(11.5-j23.1)\\text{ A}.\\\\\\space\\\\\n\nI_2=\\frac{V_2}{Z_2}=\\frac{-115+j200}{3+j4}=(18.1+j42.5)\\text{ A}.\\\\\\space\\\\\nI_3=\\frac{V_3}{Z_3}=\\frac{-115-j200}{15+j20}=(-9.17-j1.10)\\text{ A}."

B) Find the neutral current:


"I_N=I_1+I_2+I_3=(20.4+j18.3)\\text{ A}."


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