Question #208078

Calculate the instantaneous power of an ac circuit that has a maximum voltage of 240v and a maximum current of 0.24A with a phase angle of 30 degrees.


1
Expert's answer
2021-06-17T15:29:08-0400


Gives

Im=0.24AI_m=0.24A

Vm=240VV_m=240V

VRMS=Vm2V_{RMS}=\frac{V_m}{\sqrt2}

IRMS=Im2I_{RMS}=\frac{I_{m}}{\sqrt2}

Pac=IRMSVRMScosϕP_{ac}=I_{RMS}V_{RMS}cos\phi

Pac=ImVm2cosϕP_{ac}=\frac{I_m V_m}{2}cos\phi

Pac=0.24×2402cos30°P_{ac}=\frac{0.24\times240}{2}cos30°

Pac=24.94WP_{ac}=24.94W


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