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2. A square wave with amplitude 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?

2. A square wave with amplitude 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?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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**Exercise 1: Triangle Wave Analysis** 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 Explanation:** - The graph shows a triangle wave with a period of 0.2 seconds. - The voltage (V) peaks at 5V at 0.1 seconds and returns to 0V at 0.2 seconds. - The y-axis represents voltage in volts (V). - The x-axis represents time in seconds (s). **Exercise 2: Square Wave Analysis** 2. A square wave with amplitude 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? **Exercise 3: Phasor Computation** 3. Compute \( V_1 + V_2, \, V_1 - V_2, \, V_1 \times V_2, \) and \( V_1/V_2 \) for the phasors \( V_1 = 2\angle 45^\circ \) and \( V_2 = 5\angle -60^\circ \). Express the final results in both phasor form and Cartesian form (a+bj).
Transcribed Image Text:**Exercise 1: Triangle Wave Analysis** 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 Explanation:** - The graph shows a triangle wave with a period of 0.2 seconds. - The voltage (V) peaks at 5V at 0.1 seconds and returns to 0V at 0.2 seconds. - The y-axis represents voltage in volts (V). - The x-axis represents time in seconds (s). **Exercise 2: Square Wave Analysis** 2. A square wave with amplitude 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? **Exercise 3: Phasor Computation** 3. Compute \( V_1 + V_2, \, V_1 - V_2, \, V_1 \times V_2, \) and \( V_1/V_2 \) for the phasors \( V_1 = 2\angle 45^\circ \) and \( V_2 = 5\angle -60^\circ \). Express the final results in both phasor form and Cartesian form (a+bj).
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