A single-phase transformer has 2000 turns on the primary winding and 500 turns on the secondary. Winding resistances are \(R_{1}=2 \Omega\), and \(R_{2}=\) \(0.125 \Omega\); leakage reactances are \(X_{1}=8 \Omega\) and \(X_{2}=0.5 \Omega\). The resistance load on the secondary is \(12 \Omega\).

(a) If the applied voltage at the terminals of the primary is \(1000 \mathrm{~V}\), determine \(V_{2}\) at the load terminals of the transformer, neglecting magnetizing current.

(b) If the voltage regulation is defined as the difference between the voltage magnitude at the load terminals of the transformer at full load and at no load in percent of full-load voltage with input voltage held constant, compute the percent voltage regulation.