GATE Electrical 2018 | Question: 47

Question

A three-phase load is connected to a three-phase balanced supply as shown in the figure. If $V_{\text{an}} = 100 \angle 0^{\circ} \: V$, $V_{\text{bn}}=100 \angle – 120 ^{\circ} \: V$ and $V_{\text{cn}}=100 \angle – 240 ^{\circ} \: V$ (angles are considered positive in the anti-clockwise direction), the value of $R$ for zero current in the neutral wire is __________ $\Omega$ (up to $2$ decimal places).