A three-phase balanced voltage source is applied to a balanced Y-connected load with ungrounded neutral. The Y-connected load consists of three mutually coupled reactances, where the reactance of each phase is \(j 12 \Omega\), and the mutual coupling between any two phases is \(j 4 \Omega\). The line-to-line source voltage is \(100 \sqrt{3} \mathrm{~V}\). Determine the line currents

(a) by mesh analysis without using symmetrical components and

(b) using symmetrical components.