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Question

The total opposition offered to the flow of current in AC circuit is called-

The correct answer is

Impedance

Understanding Opposition in AC Circuits

The question asks about the total opposition offered to the flow of current in an AC (Alternating Current) circuit. In electrical circuits, components like resistors, capacitors, and inductors affect the flow of current differently, especially in AC circuits.

Analyzing the Options

Let's look at the given options and what they represent in the context of electrical circuits, particularly AC circuits:

  • Capacitance: This is a measure of a component's ability to store an electric charge. In AC circuits, capacitors exhibit 'capacitive reactance', which is a type of opposition to current flow that depends on frequency. However, it is not the total opposition.
  • Resistance: This is the opposition to current flow due to the material properties of a conductor. Resistance converts electrical energy into heat and is present in both DC and AC circuits. While it's a part of the total opposition in AC circuits, it's usually not the complete picture when reactive components are present.
  • Impedance: This term specifically refers to the total opposition that a circuit presents to the flow of alternating current. It includes not just resistance but also the opposition arising from capacitors (capacitive reactance) and inductors (inductive reactance). Impedance is a complex quantity, encompassing both magnitude and phase, reflecting how voltage and current are related in an AC circuit.
  • Inductance: This is a measure of a component's ability to oppose changes in electric current. In AC circuits, inductors exhibit 'inductive reactance', which is another type of opposition to current flow that depends on frequency. Like capacitive reactance, it's a part of the total opposition but not the total opposition itself.

Identifying the Correct Term for Total Opposition in AC Circuits

Based on the definitions, the term that represents the total opposition to the flow of current in an AC circuit, considering the combined effect of resistance, inductive reactance, and capacitive reactance, is Impedance.

Impedance ($\text{Z}$) in an AC circuit is the vector sum of resistance ($\text{R}$) and reactance ($\text{X}$, which is the combination of inductive reactance ($\text{X_L}$) and capacitive reactance ($\text{X_C}$)). It can be represented mathematically as:

$\text{Z} = \text{R} + \text{jX}$

Where $\text{X} = \text{X_L} - \text{X_C}$. The magnitude of impedance is given by:

$|\text{Z}| = \sqrt{\text{R}^2 + (\text{X_L} - \text{X_C})^2}$

Therefore, impedance is the comprehensive measure of opposition to current flow in AC circuits.

Conclusion

The total opposition offered to the flow of current in an AC circuit is correctly termed Impedance. This accounts for all forms of opposition, including resistance and reactance.

Term Definition in Circuit Context Applies to
Resistance Opposition to current flow due to material properties. DC and AC Circuits
Capacitance Ability to store charge; contributes Capacitive Reactance in AC. Primarily affects AC circuits (frequency dependent opposition)
Inductance Ability to oppose changes in current; contributes Inductive Reactance in AC. Primarily affects AC circuits (frequency dependent opposition)
Impedance Total opposition to current flow (combines Resistance and Reactance). AC Circuits

Revision Table: Key AC Circuit Concepts

Concept Symbol What it Opposes Unit Dependency (AC)
Resistance R Current flow (energy loss) Ohm ($\Omega$) Material, Temperature
Inductive Reactance XL Change in current Ohm ($\Omega$) Frequency, Inductance (XL = 2πfL)
Capacitive Reactance XC Change in voltage Ohm ($\Omega$) Frequency, Capacitance (XC = 1/(2πfC))
Impedance Z Total current flow Ohm ($\Omega$) Resistance, XL, XC (Frequency, Components)

Additional Information: AC Circuit Impedance and Reactance

In AC circuits, unlike DC circuits, the opposition to current flow isn't just resistance. Reactive components like capacitors and inductors introduce frequency-dependent opposition called reactance.

  • Inductive Reactance (XL): Increases with increasing frequency. Inductors oppose rapid changes in current.
  • Capacitive Reactance (XC): Decreases with increasing frequency. Capacitors oppose rapid changes in voltage.

Impedance (Z) combines the effects of resistance (R), inductive reactance (XL), and capacitive reactance (XC). It is a vector quantity, meaning it has both magnitude and phase. The phase angle indicates the phase difference between the voltage and current in the AC circuit, which is crucial for understanding power factor and resonance.

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Important Questions from Sinusoidal Steady State Analysis

  1. A quantity whose magnitude has a definite repeating time cycle is called a-

  2. The current drawn by a tungsten filament lamp is measured by an ammeter. The ammeter reading under steady state condition will be ______ the ammeter reading when the supply is switched on.

  3. The current flowing through a pure inductor in an AC circuit lags the applied voltage by:

  4. What is the average value of a sine wave Vm sinωt over a full cycle?

  5. The peak factor of a sinusoidal waveform is:

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