One Power Implies Another

Consider the steady-state AC circuit shown below, with two AC voltage sources, a resistor, and an inductor. Source V R \vec{V_R} consumes 100 VA (volt-amperes) at unity power factor.

How much power (in watts) does the 3 Ω 3 \, \Omega resistor consume?

Note: Voltage quantities are in RMS. j = 1 j = \sqrt{-1}


The answer is 166.667.

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