Given:
The inductance is,
[tex]L=150\text{ mH}[/tex]The current is,
[tex]i=1.6\text{ A}[/tex]The frequency of the current is,
[tex]f=60\text{ Hz}[/tex]To find:
The phase angle between the current and the voltage
Explanation:
The phase angle between the current and the voltage is,
[tex]\Phi=tan^{-1}\frac{X_L}{R}[/tex]As the circuit is purely inductive,
[tex]R=0[/tex]The phase angle is,
[tex]\begin{gathered} \Phi=tan^{-1}\frac{2\pi fL}{0} \\ \Phi=90\degree \end{gathered}[/tex]Hence, the phase angle is 90 degrees.