Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
72. Two capacitors, a 20 uF and a 30 µF, are connected in parallel to a 60-Hz source. What is the total capacitive reactance? a. 7.96 Q b. 23.16 N c. 42.04 2 d. 53.05 2

72. Two capacitors, a 20 uF and a 30 µF, are connected in parallel to a 60-Hz source. What is the total capacitive reactance? a. 7.96 Q b. 23.16 N c. 42.04 2 d. 53.05 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
**Question:** Two capacitors, a 20 µF and a 30 µF, are connected in parallel to a 60 Hz source. What is the total capacitive reactance? **Options:** a. 7.96 Ω b. 23.16 Ω c. 42.04 Ω d. 53.05 Ω **Explanation:** When capacitors are connected in parallel, their total capacitance (C_total) is the sum of their individual capacitances. Therefore, the total capacitance is: \[ C_{\text{total}} = C_1 + C_2 = 20 \, \mu\text{F} + 30 \, \mu\text{F} = 50 \, \mu\text{F} \] Next, the capacitive reactance (X_c) is calculated using the formula: \[ X_c = \frac{1}{2 \pi f C_{\text{total}}} \] Where: - \( f \) is the frequency (60 Hz), - \( C_{\text{total}} \) is the total capacitance in farads. Substitute the values into the formula to find the capacitive reactance: \[ X_c = \frac{1}{2 \pi \times 60 \times 50 \times 10^{-6}} \] After calculating, compare the result to the provided options to determine the correct answer.
Transcribed Image Text:**Question:** Two capacitors, a 20 µF and a 30 µF, are connected in parallel to a 60 Hz source. What is the total capacitive reactance? **Options:** a. 7.96 Ω b. 23.16 Ω c. 42.04 Ω d. 53.05 Ω **Explanation:** When capacitors are connected in parallel, their total capacitance (C_total) is the sum of their individual capacitances. Therefore, the total capacitance is: \[ C_{\text{total}} = C_1 + C_2 = 20 \, \mu\text{F} + 30 \, \mu\text{F} = 50 \, \mu\text{F} \] Next, the capacitive reactance (X_c) is calculated using the formula: \[ X_c = \frac{1}{2 \pi f C_{\text{total}}} \] Where: - \( f \) is the frequency (60 Hz), - \( C_{\text{total}} \) is the total capacitance in farads. Substitute the values into the formula to find the capacitive reactance: \[ X_c = \frac{1}{2 \pi \times 60 \times 50 \times 10^{-6}} \] After calculating, compare the result to the provided options to determine the correct answer.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Capacitor
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.
Similar questions
  • SEE MORE QUESTIONS
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