Examoogle
ExamsTest SeriesRank CheckPrevious Year PapersPassBook StoreMy BooksAI Tutor
🛒0
अA
Examoogle

India's most trusted platform for competitive exam PDF books. Expert-authored, watermark-protected, instant access.

Exams & Practice
All Exams & SyllabusMock Test SeriesPrevious Year PapersPractice Questions (MCQs)Recruitment Notifications
Quick Links
Examoogle AI TutorExam NewsBook StoreMy BooksLogin / Sign Up
Support
About UsRefund PolicyPrivacy PolicyTerms of UseContact Us
© 2026 Examoogle. India's #1 competitive exam AI tutor.
🔒 SSL Secured📱 UPI Accepted🧾 GST Invoice
Examoogle

Join 60,000+ competitive exam aspirants

or with email
By continuing, you agree to ourTerms of Service&Privacy Policy
Your Cart
Subtotal₹0
Total₹0
Examoogle • User • info@examoogle.com • EE-2024-8821
Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
Back to Practice Questions
ElectricalBasic Electrical
PrevNext

Which is method of solving ac parallel circuit?

A

Vector method

B

Admittance method

C

Complex algebra method

D

All of above

Correct Answer

Concept & PrincipleElectricalBasic Electrical
Option D

All of above

Quick Summary: AC parallel circuits can be analyzed using multiple methodologies depending on the complexity of the network. These include graphical representation (Vector), impedance-based reciprocal analysis (Admittance), and complex frequency-domain modeling (Complex Algebra).

💡 Explanation

AC parallel circuits can be analyzed using multiple methodologies depending on the complexity of the network. These include graphical representation (Vector), impedance-based reciprocal analysis (Admittance), and complex frequency-domain modeling (Complex Algebra).

🔢 Key Formulas

Y=G+jBY = G + jBY=G+jB — Admittance as sum of Conductance and Susceptance

Itotal=I1+I2+I3I_{total} = I_1 + I_2 + I_3Itotal​=I1​+I2​+I3​ — Kirchhoff's Current Law in phasor form

⚙️ Working Principle

In a parallel AC circuit, the voltage across all branches is common. The admittance method simplifies the calculation by summing individual branch admittances (Y=G+jBY = G + jBY=G+jB), where Y=1ZY = \frac{1}{Z}Y=Z1​. Complex algebra uses the rectangular (a+jba + jba+jb) or polar (r∠θr\angle\thetar∠θ) form to perform vector arithmetic on impedances and currents.

📌 Key Points
  • ▸

    In parallel circuits, voltage is the reference phasor.

  • ▸

    Admittance (YYY) is the reciprocal of impedance (ZZZ).

  • ▸

    Complex algebra allows addition of complex currents representing magnitude and phase shift.

  • ▸

    Vector method (Phasor diagram) provides a visual verification of current phase relationships.

✅ Advantages
  • ▸

    Admittance method simplifies parallel branch arithmetic

  • ▸

    Complex algebra handles phase angle summation efficiently

  • ▸

    Phasor diagrams provide intuitive understanding of power factor

❌ Disadvantages / Limitations
  • ▸

    Vector method becomes tedious for circuits with more than 3 branches

  • ▸

    Complex algebra requires proficiency in handling imaginary 'j' operator

🛠️ Applications / Uses
  • ▸

    Power distribution network analysis

  • ▸

    AC motor winding calculations

  • ▸

    Resonance frequency tuning circuits

📄 Additional Information
  • ▸

    Option A (Vector method) uses geometric summation of phasors.

  • ▸

    Option B (Admittance method) is the most efficient algebraic way to handle parallel branches.

  • ▸

    Option C (Complex algebra) is the mathematical foundation for both Admittance and Vector methods.

📊 Diagram / Illustration
AC Parallel AdmittanceI = V × YY = Y₁ + Y₂ + ... + Yₙ
WhereY=1ZWhere Y = (1 / Z)WhereY=Z1​
✅

D is correct — All listed methods provide valid mathematical or graphical frameworks for solving AC parallel networks.

Core Concepts Used
Click any tag to open in AI Tutor
Phasor Algebra Admittance ($Y$) Kirchhoff's Current Law (KCL)
💡 EXAM TIP

Always convert series impedances to admittances (Y=1/ZY = 1/ZY=1/Z) before summing parallel branches to save calculation time in competitive exams.

Related Questions

ElectricalBasic Electrical
Batteries are charged by
ElectricalBasic Electrical
48 ampere-hour capacity would deliver a current of
ElectricalBasic Electrical
The lead-acid cell should never be discharged beyond
ElectricalBasic Electrical
In a lead-acid cell, lead is called as
ElectricalBasic Electrical
Undercharging of chemical batteries

Discussion (0)

Loading discussion...
PrevNext