1. The instantaneous voltage across a circuit element is v(t) = 678.8 sin(@t-15) V, and the instantaneous current entering the positive terminal of the circuit element is i(t) = 200 cos(@t-5) A. Calculate (a) the instantaneous power absorbed by the element, (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). 2. A single-phase source is applied to a two-terminal, passive circuit with equivalent impedance Z= 2.0-45 measured from the terminals. The source current is i(t) = 4√2 cos(wt) A. Determine the (a) instantaneous power absorbed by the impedance, (b) real power absorbed by the impedance, (c) reactive power delivered by the source. (d) the source power factor.

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1. The instantaneous voltage across a circuit element is v(t) = 678.8 sin(@t-15) V, and the instantaneous
current entering the positive terminal of the circuit element is i(t) = 200 cos(@t-5) A. Calculate
(a) the instantaneous power absorbed by the element,
(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).
2. A single-phase source is applied to a two-terminal, passive circuit with equivalent impedance
Z= 2.0-45 measured from the terminals. The source current is i(t) = 4√2 cos(wt) A. Determine the
(a) instantaneous power absorbed by the impedance,
(b) real power absorbed by the impedance,
(c) reactive power delivered by the source.
(d) the source power factor.
Transcribed Image Text:1. The instantaneous voltage across a circuit element is v(t) = 678.8 sin(@t-15) V, and the instantaneous current entering the positive terminal of the circuit element is i(t) = 200 cos(@t-5) A. Calculate (a) the instantaneous power absorbed by the element, (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). 2. A single-phase source is applied to a two-terminal, passive circuit with equivalent impedance Z= 2.0-45 measured from the terminals. The source current is i(t) = 4√2 cos(wt) A. Determine the (a) instantaneous power absorbed by the impedance, (b) real power absorbed by the impedance, (c) reactive power delivered by the source. (d) the source power factor.
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