The voltage across and current through certain load are given by: v(t) = 8 cos(754t -30°) i(t) = 0.2 sin(754t) %3D What is the reactive power consumed by the load?

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Hello. This is practice for my own study (nothing is for a grade, just practice). I am more interested in a clear & organized, efficient process/methods. Please use "jw" as that is what I'm more accustomed to seeing. Thank you in advance. 

The voltage across and current through a certain load are given by:

\[ v(t) = 8 \cos(754t - 30^\circ) \]

\[ i(t) = 0.2 \sin(754t) \]

What is the reactive power consumed by the load? 

---

**Explanation:**

This problem involves determining the reactive power consumed by a load, using the given expressions for voltage and current. The voltage is expressed as a cosine function with amplitude 8, angular frequency 754, and phase shift \(-30^\circ\), while the current is given as a sine function with amplitude 0.2 and the same angular frequency as the voltage, but without a phase shift. The reactive power can be calculated using these expressions.
Transcribed Image Text:The voltage across and current through a certain load are given by: \[ v(t) = 8 \cos(754t - 30^\circ) \] \[ i(t) = 0.2 \sin(754t) \] What is the reactive power consumed by the load? --- **Explanation:** This problem involves determining the reactive power consumed by a load, using the given expressions for voltage and current. The voltage is expressed as a cosine function with amplitude 8, angular frequency 754, and phase shift \(-30^\circ\), while the current is given as a sine function with amplitude 0.2 and the same angular frequency as the voltage, but without a phase shift. The reactive power can be calculated using these expressions.
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