Question #154809

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

Expert's answer

a) "I_L=\\frac{U}{Z_1+Z_2+Z_3}=\\frac{400}{4+3+15+j8+j4+j20}=5.84-j8.49" A

b)"I_L=\\sqrt{3}\\times I_n; I_n=\\frac{I_L}{\\sqrt{3}}=\\frac{5.84-j8.49}{\\sqrt{3}}=3.37-j4,9" A

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