Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Nodal Analysis
In the analysis of any electric circuit, nodal analysis is the method of determining the potential difference or voltage between different nodes in an electric circuit. A node is a point where two or more branches connect each other. In the nodal analysi…
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### Problem 1 A triangle wave varies as shown below over one period. Compute the RMS (Root Mean Square) of this wave. What is the average power dissipated if this voltage is placed across a 5 Ω resistor? #### Graph Description - **Type**: Voltage vs. Time graph of a triangle wave. - **Voltage (V)**: Plotted on the vertical axis ranging from 0 V to 5 V. - **Time (s)**: Plotted on the horizontal axis ranging from 0 s to 0.2 s. - **Waveform**: A linear increase from 0 V to 5 V at 0.1 s, followed by a linear decrease back to 0 V at 0.2 s. ### Problem 2 A square wave with an amplitude of 1 V has a duty cycle of 50% (i.e., it is at 1 V 50% of the time and 0 V the other 50% of the time). What is the Vrms of this signal? ### Problem 3 Compute \(V_1 + V_2\), \(V_1 - V_2\), \(V_1 \times V_2\), and \(V_1/V_2\) for the phasors \(V_1 = 2∠45°\) and \(V_2 = 5∠−60°\). Express the final results in both phasor form and Cartesian form (a+bj).
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Transcribed Image Text:### Problem 1 A triangle wave varies as shown below over one period. Compute the RMS (Root Mean Square) of this wave. What is the average power dissipated if this voltage is placed across a 5 Ω resistor? #### Graph Description - **Type**: Voltage vs. Time graph of a triangle wave. - **Voltage (V)**: Plotted on the vertical axis ranging from 0 V to 5 V. - **Time (s)**: Plotted on the horizontal axis ranging from 0 s to 0.2 s. - **Waveform**: A linear increase from 0 V to 5 V at 0.1 s, followed by a linear decrease back to 0 V at 0.2 s. ### Problem 2 A square wave with an amplitude of 1 V has a duty cycle of 50% (i.e., it is at 1 V 50% of the time and 0 V the other 50% of the time). What is the Vrms of this signal? ### Problem 3 Compute \(V_1 + V_2\), \(V_1 - V_2\), \(V_1 \times V_2\), and \(V_1/V_2\) for the phasors \(V_1 = 2∠45°\) and \(V_2 = 5∠−60°\). Express the final results in both phasor form and Cartesian form (a+bj).
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