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4) Two loads Z₁ = 100 £2 and Z₂ = 10 +j20 №are connected across a 200-V rms, 60-Hz sources as shown below. a) Find the total real and reactive power, the power factor at the source, and the total current. b) Find the capacitance of the capacitor connected across the loads to improve the overall power factor to 0.8 lagging. V=200 ZOV 100 2 E wwwm 10 2 j20 Q IC

4) Two loads Z₁ = 100 £2 and Z₂ = 10 +j20 №are connected across a 200-V rms, 60-Hz sources as shown below. a) Find the total real and reactive power, the power factor at the source, and the total current. b) Find the capacitance of the capacitor connected across the loads to improve the overall power factor to 0.8 lagging. V=200 ZOV 100 2 E wwwm 10 2 j20 Q IC

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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## Problem Statement **4)** Two loads, \( Z_1 = 100 \, \Omega \) and \( Z_2 = 10 + j20 \, \Omega \), are connected across a 200-V rms, 60-Hz source as shown below. ### Tasks: **a)** - Calculate the total real and reactive power. - Determine the power factor at the source. - Find the total current. **b)** - Determine the capacitance of the capacitor connected across the loads to improve the overall power factor to 0.8 lagging. ## Circuit Diagram Description The circuit diagram illustrates the configuration of two loads connected in parallel to an AC voltage source. - The voltage source provides \( V = 200 \angle 0^\circ \, V \). - Load \( Z_1 \) is purely resistive with \( 100 \, \Omega \). - Load \( Z_2 \) is a complex impedance of \( 10 + j20 \, \Omega \). - The total current drawn from the source is denoted by \( I \). - Current through \( Z_1 \) is \( I_1 \) and through \( Z_2 \) is \( I_2 \). - A capacitor with capacitance \( C \) is connected in parallel across the loads, with the current \( I_C \) through the capacitor.
Transcribed Image Text:## Problem Statement **4)** Two loads, \( Z_1 = 100 \, \Omega \) and \( Z_2 = 10 + j20 \, \Omega \), are connected across a 200-V rms, 60-Hz source as shown below. ### Tasks: **a)** - Calculate the total real and reactive power. - Determine the power factor at the source. - Find the total current. **b)** - Determine the capacitance of the capacitor connected across the loads to improve the overall power factor to 0.8 lagging. ## Circuit Diagram Description The circuit diagram illustrates the configuration of two loads connected in parallel to an AC voltage source. - The voltage source provides \( V = 200 \angle 0^\circ \, V \). - Load \( Z_1 \) is purely resistive with \( 100 \, \Omega \). - Load \( Z_2 \) is a complex impedance of \( 10 + j20 \, \Omega \). - The total current drawn from the source is denoted by \( I \). - Current through \( Z_1 \) is \( I_1 \) and through \( Z_2 \) is \( I_2 \). - A capacitor with capacitance \( C \) is connected in parallel across the loads, with the current \( I_C \) through the capacitor.
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