The real part of admittance in phasor form is called _______ and the imaginary part is called _________.

Explanation:

Admittance in Phasor Form

Definition: Admittance, represented as Y, is the measure of how easily a circuit allows the flow of electric current when a voltage is applied. It is the reciprocal of impedance (Z) and is expressed in Siemens (S). In phasor form, admittance is a complex quantity, consisting of a real part and an imaginary part:

Y = G + jB,

where:

• G = Conductance (Real part of admittance)
• B = Susceptance (Imaginary part of admittance)

Components of Admittance:

• Conductance (G): It is the real part of admittance and indicates the ability of a circuit to conduct electric current. It is measured in Siemens (S).
• Susceptance (B): It is the imaginary part of admittance and represents the reactive component of the circuit. Susceptance is also measured in Siemens (S).

Relationship with Impedance:

Admittance is the reciprocal of impedance:

Y = 1/Z

In phasor form:

Y = 1/(R + jX),

where R is the resistance and X is the reactance of the circuit. By rationalizing the denominator, the admittance can be expressed as:

Y = G + jB

with:

• G = R / (R² + X²)
• B = -X / (R² + X²)

Correct Option Analysis:

The correct option is:

Option 4: Conductance; Susceptance

In phasor form, the real part of admittance (Y) is called Conductance (G), and the imaginary part is called Susceptance (B). Conductance measures the ability of the circuit to allow current flow due to its resistive elements, while susceptance represents the reactive behavior of the circuit caused by its capacitive or inductive components.

Important Information:

To further understand the analysis, let’s evaluate the other options:

Option 1: Impedance; Reactance

This option is incorrect because impedance and reactance are not components of admittance. Impedance (Z) is the total opposition to current flow in a circuit and is the reciprocal of admittance. Reactance (X) is the imaginary part of impedance, not admittance.

Option 2: Reactance; Conductance

This option is also incorrect because it mixes the terms incorrectly. Reactance is associated with impedance, not admittance. Conductance is indeed the real part of admittance, but the imaginary part is not reactance; it is susceptance.

Option 3: Resistance; Reactance

This option is incorrect as it pertains to the components of impedance, not admittance. Resistance (R) is the real part of impedance, and reactance (X) is its imaginary part. These terms do not describe admittance.

Conclusion:

The real part of admittance in phasor form is called Conductance (G), and the imaginary part is called Susceptance (B). These components provide critical insight into how a circuit behaves under the influence of applied voltage. Understanding the distinction between admittance, impedance, and their respective components is crucial for analyzing and designing electrical circuits.