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The Instantaneous Voltage Across a Circuit Is v(t)=678.8sinv(t)=678.8 \sin (ωt15)\left(\omega t-15^{\circ}\right)

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The instantaneous voltage across a circuit is v(t)=678.8sinv(t)=678.8 \sin (ωt15)\left(\omega t-15^{\circ}\right) volts, and the instantaneous current entering the positive terminal if the circuit element is i(t)=200cos(ωt5)i(t)=200 \cos \left(\omega t-5^{\circ}\right) A. For these circuit elements, calculate (a) the instantaneous power absorbed, (b) the real power (state whether it is delivered or absorbed), (c) the reactive power (state whether delivered or absorbed), (d) the power factor (state whether lagging or leading).

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