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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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ElectricalBasic Electrical
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Admittance is denoted by

A

XXX

B

YYY

C

ZZZ

D

RRR

Correct Answer

Concept & PrincipleElectricalBasic Electrical
Option B

YYY

Quick Summary: Admittance is defined as the reciprocal of impedance and is denoted by the symbol $Y$. It represents the ease with which electric current flows through an alternating current circuit.

💡 Explanation

Admittance is defined as the reciprocal of impedance and is denoted by the symbol YYY. It represents the ease with which electric current flows through an alternating current circuit.

🔢 Key Formulas

Y=1ZY = \frac{1}{Z}Y=Z1​ — Fundamental definition of admittance

Y=G+jBY = G + jBY=G+jB — Complex admittance form where GGG is conductance and BBB is susceptance

⚙️ Working Principle

In an A.C. circuit, impedance Z=R+jXZ = R + jXZ=R+jX measures the opposition to current flow. Admittance YYY is the mathematical inverse, Y=1Z=G+jBY = \frac{1}{Z} = G + jBY=Z1​=G+jB, where GGG is conductance and BBB is susceptance. Because impedance is a complex quantity, admittance is also a complex quantity measured in Siemens (SSS).

📌 Key Points
  • ▸

    The unit of admittance is the Siemens (SSS), formerly known as the mho (mho\\mhomho).

  • ▸

    Admittance is a complex quantity composed of a real part (conductance) and an imaginary part (susceptance).

  • ▸

    It simplifies the calculation of A.C. circuits connected in parallel, as admittances add linearly.

✅ Advantages
  • ▸

    Simplifies parallel circuit analysis compared to impedance

  • ▸

    Provides a direct measure of circuit conductivity

❌ Disadvantages / Limitations
  • ▸

    Less intuitive than resistance/impedance in series circuit analysis

  • ▸

    Requires complex number arithmetic

🛠️ Applications / Uses
  • ▸

    Analyzing parallel RLC circuits

  • ▸

    Power system network analysis (Y-bus matrix)

  • ▸

    Filter design in telecommunications

📄 Additional Information
  • ▸

    Option A (XXX) denotes Reactance.

  • ▸

    Option C (ZZZ) denotes Impedance.

  • ▸

    Option D (RRR) denotes Resistance.

📊 Diagram / Illustration
Admittance FormulaY = 1Z
✅

B is correct — Admittance is universally denoted by the symbol YYY in electrical engineering notation.

Core Concepts Used
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Impedance ($Z$) Admittance ($Y$) Conductance ($G$) Susceptance ($B$)
💡 EXAM TIP

Always remember that while impedances add in series, admittances add in parallel (Yeq=Y1+Y2+...+YnY_{eq} = Y_1 + Y_2 + ... + Y_nYeq​=Y1​+Y2​+...+Yn​), making YYY the preferred parameter for parallel network analysis.

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