Question

A series AC circuit contains a resistor, an inductor of 240 mH, a capacitor of 4.20 µF, and a source with \(\Delta V_{max} = 240\) V operating at 50.0 Hz. The maximum current in the circuit is 160 mA. (a) Calculate the inductive reactance. 75.398 ? (b) Calculate the capacitive reactance. 757.88 ? (c) Calculate the impedance. 1.5 k? (d) Calculate the resistance in the circuit. 1.33574 k? (e) Calculate the phase angle between the current and the source voltage. -89.87407 The phase angle is a function of the resistance and the reactances of the capacitor and the inductor.

          A series AC circuit contains a resistor, an inductor of 240 mH, a capacitor of 4.20 µF, and a source with \(\Delta V_{max} = 240\) V operating at 50.0 Hz. The maximum current in the circuit is 160 mA.
(a) Calculate the inductive reactance.
75.398 ?
(b) Calculate the capacitive reactance.
757.88 ?
(c) Calculate the impedance.
1.5 k?
(d) Calculate the resistance in the circuit.
1.33574 k?
(e) Calculate the phase angle between the current and the source voltage.
-89.87407
The phase angle is a function of the resistance and the reactances of the capacitor and the inductor.
        
Show more…
A series AC circuit contains a resistor, an inductor of 240 mH, a capacitor of 4.20 µF, and a source with Δ Vmax = 240 V operating at 50.0 Hz. The maximum current in the circuit is 160 mA.
(a) Calculate the inductive reactance.
75.398 ?
(b) Calculate the capacitive reactance.
757.88 ?
(c) Calculate the impedance.
1.5 k?
(d) Calculate the resistance in the circuit.
1.33574 k?
(e) Calculate the phase angle between the current and the source voltage.
-89.87407
The phase angle is a function of the resistance and the reactances of the capacitor and the inductor.

Added by Taylor L.

Close

University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
(a) Calculate the inductive reactance: 75.398 (b) Calculate the capacitive reactance: 757.88 Ω (c) Calculate the impedance: 1.5 kΩ (d) Calculate the resistance in the circuit: 1.33574 kΩ (e) Calculate the phase angle between the current and the source voltage: -89.87407° The phase angle is a function of the resistance and the reactances of the capacitor and the inductor.
Close icon
Play audio
Feedback
Powered by NumerAI
Danielle Fairburn Ivan Kochetkov
David Collins verified

Sri K and 57 other subject Physics 101 Mechanics educators are ready to help you.

Ask a new question

*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.

*

Recommended Videos

-
series-ac-circuit-contains-resistor-an-inductor-of-200-mhe-capacitor-of-550-uf-and-source-with-av-max-operating-at-500-hz-the-maximum-current-in-the-circuit-is-110-ma-240-calculate-the-induc-16229

A series AC circuit contains a resistor, an inductor of 200 mH, a capacitor of 5.50 µF, and a source with ΔVmax = 240 V operating at 50.0 Hz. The maximum current in the circuit is 110 mA. (a) Calculate the inductive reactance. (b) Calculate the capacitive reactance. (c) Calculate the impedance. (d) Calculate the resistance in the circuit. (e) Calculate the phase angle between the current and the source voltage. The phase angle is a function of the resistance and the reactances of the capacitor and the inductor.

Sri K.

a-resistor-r-900-102-a-capacitor-c-0250-fand-an-inductor-l-150-h-are-connected-in-series-across-a-240-102-hz-ac-source-for-which-vmax-115-102-v-a-calculate-the-impedance-of-the-circuit-k-b-c-70516

A resistor (R = 9.00 × 10^2 Ω), a capacitor (C = 0.250 μF), and an inductor (L = 1.50 H) are connected in series across a 2.40 × 10^2-Hz AC source for which ΔVmax = 1.15 × 10^2 V. (a) Calculate the impedance of the circuit. kΩ (b) Calculate the maximum current delivered by the source. A (c) Calculate the phase angle between the current and voltage. °

Khoobchandra A.

a-series-ac-circuit-contains-a-resistor-an-inductor-of-220-mh-a-capacitor-of-550-f-and-a-generator-with-vmax-240-v-operating-at-500-hz-the-maximum-current-in-the-circuit-is-140-ma-a-calculat-36409

A series AC circuit contains a resistor, an inductor of 220 mH, a capacitor of 5.50 μF, and a generator with ΔVmax = 240 V operating at 50.0 Hz. The maximum current in the circuit is 140 mA. a. Calculate the inductive reactance. Ω b. Calculate the capacitive reactance. Ω c. Calculate the impedance. kΩ d. Calculate the resistance in the circuit. kΩ e. Calculate the phase angle between the current and the generator voltage.

Madhur L.


*

Recommended Textbooks

-
University Physics with Modern Physics

University Physics with Modern Physics

Hugh D. Young 14th Edition
achievement 1,702 solutions
Physics: Principles with Applications

Physics: Principles with Applications

Douglas C. Giancoli 7th Edition
achievement 1,513 solutions
Fundamentals of Physics

Fundamentals of Physics

David Halliday, Robert Resnick , Jearl Walker 10th Edition
achievement 1,674 solutions

*

Transcript

-
00:01 Hello, in this question the given data is l equals 200 mh, c equals 5 .50 uf, v equals 240 v, the frequency equals 50 hz, the current equals 110 ma.
00:21 So the first part, since the xl equals 2 pi f l which turns out to be equal to 2 times pi times 50 times l which is 200 mh, right, so this turns out to be equal to 62 .83 ohms.
00:44 The b part, since xc equals 1 by 2 pi fc, right, so this turns out to be equal to 578 .74 ohms, right.
01:02 Now, p part, that is since the p equals iz, therefore z equals 240 by 110, so 240 divided by 110 equals 2 .18 ohms...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever