Answer:
The rms current in the circuit is 3.513 A
Explanation:
Given;
angular frequency of the inductor, ω = 363 rad/s
maximum voltage of the inductive AC, V₀ = 169 V
Inductance of the inductor, L = 0.0937 H
Inductive reactance is given by;
[tex]X_L = 2\pi f L= \omega L[/tex]
[tex]X_L = 363 *0.0937\\\\X_L = 34.0131 \ ohms[/tex]
The rms voltage is given by;
[tex]V_{rms} = \frac{V_o}{\sqrt{2} } \\\\V_{rms} =\frac{169}{\sqrt{2} } \\\\V_{rms} = 119.5 \ V[/tex]
The rms current in the circuit is given by;
[tex]I_{rms} = \frac{V_{rms}}{X_L} \\\\I_{rms} = \frac{119.5}{34.0131} \\\\I_{rms} = 3.513 \ A[/tex]
Therefore, the rms current in the circuit is 3.513 A
