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I was trying to solve the above problem. As I have done many similar problems, I attempted it in the following way

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But I was shocked when I checked the solution given in my workbook.

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Please help me to understand this problem.

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The coupling of other phases tends to oppose to induction of each phase slightly. You are close.

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  • \$\begingroup\$ Sir, why my method is wrong ? Is it a special case ? \$\endgroup\$ – Nikhil Kashyap Feb 26 '18 at 18:08
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    \$\begingroup\$ You neglected phase shift of other 2 currents coupled into each at +\- 120 deg \$\endgroup\$ – Tony Stewart EE75 Feb 26 '18 at 18:13
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    \$\begingroup\$ Yes, I assumed Ia =Ib = Ic. I will go through the derivation once again. \$\endgroup\$ – Nikhil Kashyap Feb 26 '18 at 18:39
  • \$\begingroup\$ Yes it is I(t) for ABC \$\endgroup\$ – Tony Stewart EE75 Feb 26 '18 at 18:42

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