Calculate the phase shift of current in the capacitor

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Calculate the phase shift of current in the capacitor shown in Fig. P8.6 if the voltage input is

υ1(t)=30 cos (381t−53°) V

Have the current in cosine format

 

 

The diagram illustrates an electrical circuit containing a capacitor and a current-voltage relationship. The key elements of the circuit are:

- A vertical component on the left, resembling a resistor or a similar electrical device.
  
- A capacitor on the right, with the capacitance value labeled as \( C = 1 \, \mu F \) (microfarad).
  
- Current, denoted as \( i(t) \), is shown flowing in a clockwise direction, entering the top terminal of the capacitor.
  
- Voltage across the component on the left is represented as \( v(t) \), with the positive terminal on top and negative on the bottom.

The diagram is labeled as "Figure P8.6" at the bottom. This setup is likely used to analyze the relationship between the current, voltage, and capacitance in a transient analysis scenario.
Transcribed Image Text:The diagram illustrates an electrical circuit containing a capacitor and a current-voltage relationship. The key elements of the circuit are: - A vertical component on the left, resembling a resistor or a similar electrical device. - A capacitor on the right, with the capacitance value labeled as \( C = 1 \, \mu F \) (microfarad). - Current, denoted as \( i(t) \), is shown flowing in a clockwise direction, entering the top terminal of the capacitor. - Voltage across the component on the left is represented as \( v(t) \), with the positive terminal on top and negative on the bottom. The diagram is labeled as "Figure P8.6" at the bottom. This setup is likely used to analyze the relationship between the current, voltage, and capacitance in a transient analysis scenario.
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