In the power system of Fig. 1.17, \(\delta=15^{\circ}\). If the value of \(\delta\) increases and \(E_{1}\) and \(E_{2}\) are kept constant, which one of the following choices is correct? In this problem, assume that \(\mathbf{I}_{\mathbf{1 2}}\) always lags \(\mathbf{E}_{\mathbf{2}}\) and \(\mathbf{Z}=j X, \mathbf{E}_{\mathbf{1}}=E_{1}

1) \(\left|\mathbf{I}_{\mathbf{1 2}}ight|\) will increase and its phase angle with respect to \(\mathbf{E}_{\mathbf{2}}\) will increase.

2) \(\left|\mathbf{I}_{\mathbf{1 2}}ight|\) will decrease and its phase angle with respect to \(\mathbf{E}_{\mathbf{2}}\) will decrease.

3) \(\left|\mathbf{I}_{\mathbf{1 2}}ight|\) will increase and its phase angle with respect to \(\mathbf{E}_{\mathbf{2}}\) will decrease.

4) \(\left|\mathbf{I}_{\mathbf{1 2}}ight|\) will decrease and its phase angle with respect to \(\mathbf{E}_{\mathbf{2}}\) will increase.

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