Note: Follow all exam instructions that were listed in the study guide available on Canvas. You must use the correct phasor notation (V or V,I or I). List all units. You can add more pages to this exam if needed. Question 1. In the circuit below V,(t) = 15 cos(120nt + 38°) V. Find the real power, reactive power, complex power, apparent power and power factor associated with the load, the load is between terminals a and b. Draw the power triangle for the load. You must show all your work including all equations and formule 300 Ω 5 μF a {1.5 kN

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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**Note:** Follow all exam instructions that were listed in the study guide available on Canvas. You must use the correct phasor notation (\( \mathbf{V} \) or \( \underline{V} \), \( \mathbf{I} \) or \( \underline{I} \)). List all units. You can add more pages to this exam if needed.

**Question 1.** In the circuit below \( V_s(t) = 15 \cos(120 \pi t + 38^\circ) \, \text{V} \). Find the real power, reactive power, complex power, apparent power and power factor associated with the load, the load is between terminals \(a\) and \(b\). Draw the power triangle for the load. You must show all your work including all equations and formulae.

**Circuit Description:**
The circuit is depicted with a voltage source \( V_s \) and various components in series and parallel. From the top left to the top right, the circuit contains:

- A 300-ohm resistor.
- A 5 microfarad (µF) capacitor connected in series.
- A connection point labeled \(a\).

From the connection point \(a\) moving clockwise:

- A 1.5-kilohm (kΩ) resistor connected in parallel with a 1.5 µF capacitor and a 10 henry (H) inductor.
- The path then leads to connection point \(b\).

From point \(b\), it reconnects to the source end with:

- A 250-ohm resistor back to the ground.

This parallel network forms the complex impedance where the power calculations are to be performed between the specified terminals \(a\) and \(b\).
Transcribed Image Text:**Note:** Follow all exam instructions that were listed in the study guide available on Canvas. You must use the correct phasor notation (\( \mathbf{V} \) or \( \underline{V} \), \( \mathbf{I} \) or \( \underline{I} \)). List all units. You can add more pages to this exam if needed. **Question 1.** In the circuit below \( V_s(t) = 15 \cos(120 \pi t + 38^\circ) \, \text{V} \). Find the real power, reactive power, complex power, apparent power and power factor associated with the load, the load is between terminals \(a\) and \(b\). Draw the power triangle for the load. You must show all your work including all equations and formulae. **Circuit Description:** The circuit is depicted with a voltage source \( V_s \) and various components in series and parallel. From the top left to the top right, the circuit contains: - A 300-ohm resistor. - A 5 microfarad (µF) capacitor connected in series. - A connection point labeled \(a\). From the connection point \(a\) moving clockwise: - A 1.5-kilohm (kΩ) resistor connected in parallel with a 1.5 µF capacitor and a 10 henry (H) inductor. - The path then leads to connection point \(b\). From point \(b\), it reconnects to the source end with: - A 250-ohm resistor back to the ground. This parallel network forms the complex impedance where the power calculations are to be performed between the specified terminals \(a\) and \(b\).
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