Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
2лf Problem 1: What is the impedance of a 0.1 mF capacitor at 10 Hz? Express the impedance in both rectangular and polar formats. Zc (10 Hz) = -j159.15492=159.1549-90° 2 @=

2лf Problem 1: What is the impedance of a 0.1 mF capacitor at 10 Hz? Express the impedance in both rectangular and polar formats. Zc (10 Hz) = -j159.15492=159.1549-90° 2 @=

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
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
See similar textbooks
icon
Related questions
Question
**Problem 1: Impedance of a Capacitor** In this problem, we calculate the impedance of a 0.1 mF capacitor at a frequency of 10 Hz. The impedance is expressed in both rectangular and polar formats. **Given Formula:** \[ \omega = 2 \pi f \] **Problem Statement:** What is the impedance of a 0.1 mF capacitor at 10 Hz? Express the impedance in both rectangular and polar formats. **Solution:** For a frequency of 10 Hz, the impedance of the capacitor \( Z_c \) is calculated as follows: **Rectangular Format:** \[ Z_c (10 \, \text{Hz}) = -j159.1549 \, \Omega \] **Polar Format:** \[ Z_c (10 \, \text{Hz}) = 159.1549 \angle -90^\circ \, \Omega \] The impedance is characterized by a magnitude of 159.1549 ohms with a phase angle of -90 degrees, indicating the purely reactive nature of the capacitor.
Transcribed Image Text:**Problem 1: Impedance of a Capacitor** In this problem, we calculate the impedance of a 0.1 mF capacitor at a frequency of 10 Hz. The impedance is expressed in both rectangular and polar formats. **Given Formula:** \[ \omega = 2 \pi f \] **Problem Statement:** What is the impedance of a 0.1 mF capacitor at 10 Hz? Express the impedance in both rectangular and polar formats. **Solution:** For a frequency of 10 Hz, the impedance of the capacitor \( Z_c \) is calculated as follows: **Rectangular Format:** \[ Z_c (10 \, \text{Hz}) = -j159.1549 \, \Omega \] **Polar Format:** \[ Z_c (10 \, \text{Hz}) = 159.1549 \angle -90^\circ \, \Omega \] The impedance is characterized by a magnitude of 159.1549 ohms with a phase angle of -90 degrees, indicating the purely reactive nature of the capacitor.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Types of Resonance and Different Parameter
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,
SEE MORE TEXTBOOKS