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.
Gives
Im=0.24AI_m=0.24AIm=0.24A
Vm=240VV_m=240VVm=240V
VRMS=Vm2V_{RMS}=\frac{V_m}{\sqrt2}VRMS=2Vm
IRMS=Im2I_{RMS}=\frac{I_{m}}{\sqrt2}IRMS=2Im
Pac=IRMSVRMScosϕP_{ac}=I_{RMS}V_{RMS}cos\phiPac=IRMSVRMScosϕ
Pac=ImVm2cosϕP_{ac}=\frac{I_m V_m}{2}cos\phiPac=2ImVmcosϕ
Pac=0.24×2402cos30°P_{ac}=\frac{0.24\times240}{2}cos30°Pac=20.24×240cos30°
Pac=24.94WP_{ac}=24.94WPac=24.94W
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