AC Circuit: AC Current, Types and Formulas

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Shwetha S

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AC circuit is run on and activated by Alternating Current. AC changes its magnitude between zero and a maximum value with alternating directions at regular time intervals. Resistors, capacitors, and inductors are the major components of AC circuits.

  • An AC Circuit is a circuit that is regulated by an alternating source.
  • Resistors, capacitors, and inductors are the three basic parts of an AC circuit.
  • In an AC circuit, the amplitude and direction of the current and voltages are not constant; rather, they fluctuate periodically.

Read More: Unit of Voltage

Key Terms: AC circuit, AC current, Resistors, Capacitors, Inductors, Amplitude, Frequency

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AC Circuit and Common Terms

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An AC circuit carries alternating current. In contrast to DC, which only flows in one direction, alternating current (AC) is an electrical current that periodically reverses direction and varies its value continuously over time. 

Fig. AC circuit

Fig. AC circuit

A few common terms used in AC circuits are:

  • Amplitude: Amplitude is defined as the peak value or maximum value. It is the highest positive or negative value that an alternating current can reach in a single cycle. Em or Vm and Im, which stand for the maximum values of voltage and current, respectively.
  • Alternation: Alternation is defined as a one-half cycle. An electrical alternation span is 180 degrees.
  • Cycle: A collection of positive and negative values is said to have completed a cycle when they are alternated or when they rotate electrically 360 degrees.
  • Instantaneous value: An instantaneous value is a voltage or current value at any given moment in time. It's indicated by (i or e).
  • Frequency: Frequency is the number of cycles per second that an alternating quantity produces. It is expressed by and measured in cycles per second (c/s) or hertz (Hz) (f).
  • Time Frame: Time Period is the number of seconds it takes a voltage or current to complete one cycle. It's indicated by (T).
  • Wave Form: A waveform is a shape created by charting the time (t) or angle (=wt) along the x-axis and the instantaneous values of an alternating quantity, such as voltage and current, along the y-axis.

Read More: Conductors and Insulators


Alternating Current and Alternating Voltage

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Alternating current and alternating voltage are two common things that regulate an AC Circuit. Further details on AC current and AC voltage are given below:

Alternating Current

Electrical currents that frequently change direction and experience constant value fluctuations over time are known as alternating currents (AC).

Fig. AC current

Fig. AC current

Alternating Voltage

An alternating voltage is a voltage whose polarity and magnitude alternate regularly. 

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Types of AC Circuit

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There are multiple kinds of AC circuits, such as circuits that just contain resistance (R), inductance (L), or capacitance (C), as well as circuits that combine RL, RC, LC, and RLC. The details of the different types of AC circuits are given below:

Resistor Inductor (RL) AC Circuit

An AC generator, a resistor, and a capacitor are all components of the RC circuit. Fundamentally, a capacitor is made up of a collection of conducting plates separated by an insulator. Thus, the capacitor cannot have a consistent current flowing through it. Electrical charges on the capacitor plates can be added to or subtracted by a time-varying current.

Fig: Resistor Inductor (RL) AC Circuit

Fig: Resistor Inductor (RL) AC Circuit

Read More: Time Constant Formula

Resistive ( R ) AC Circuit

An AC generator, a resistor, and an inductor are all components of the RL circuit. In an RL AC circuit, a back EMF is produced in the inductor coil when a circuit switch is turned on. It takes some time for the current to reach its maximum value. The inductive time constant is the name given to the time constant.

Fig: Resistive ( R ) AC Circuit

Fig: Resistive ( R ) AC Circuit

Resistor Inductor Capacitor ( RLC) AC Circuit

An AC circuit that includes a resistor R, an inductor L, and a capacitor C that are connected in series or parallel is known as an RLC AC circuit. These components' phase relation can be expressed as follows:

  • The instantaneous voltage across the resistor and the immediate current are in phase.
  • The immediate current is propelled 90 degrees by the instantaneous voltage over the inductor.
  • Instantaneous current exceeds the instantaneous voltage across the capacitor.

Each voltage in an AC circuit cannot simply be added up since the voltages over the various components are not in phase.

Fig: Resistor Inductor Capacitor ( RLC) AC Circuit)

Fig: Resistor Inductor Capacitor ( RLC) AC Circuit)

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Things to Remember

  • AC current powers and turns on AC circuits. 
  • At regular intervals, the magnitude of AC current fluctuates between zero and a maximum value in alternating directions. 
  • The three main components of an AC circuit are resistors, capacitors, and inductors.
  • A voltage is considered to be alternating if its polarity and magnitude regularly change.
  • Three types of AC circuits exist, including those that only contain resistance (R), inductance (L), or capacitance (C), as well as those that mix RL, RC, LC, and RLC.
  • A series AC circuit has just one switch. The series circuit is controlled by a single switch.
  • Capacitor stores electric energy in an electrical field.

Sample Questions

Ques. What is an AC circuit? (2 Marks)

Ans. Circuits powered by an alternating source, such as current or voltage, are known as alternating current circuits, or AC circuits. Alternating voltage or current is because the voltage or the current fluctuates around a clear mean value and periodically reverses direction. The source voltage and current in an ac circuit have a phase angle, which may be determined by dividing the resistance by the impedance.

Ques. What is AC current and AC voltage? (2 Marks)

Ans. Electrical currents that frequently change direction and experience constant value fluctuations over time are known as alternating currents (AC). An alternating voltage is a voltage whose polarity and magnitude alternate regularly. 

Ques. What are resistors? (2 Marks)

Ans. An electrical resistor is a passive, two-terminal device that restricts the amount of current that can flow through electrical or electronic circuits. In honour of German physicist Georg Simon Ohm, resistance is the ability to resist the flow of current and is measured in Ohms.

Ques. What is a capacitor? (3 Marks)

Ans. A two-terminal electrical device known as a capacitor is capable of storing energy in the form of an electric charge. It is made up of two electrical wires that are spaced apart by a certain amount. A vacuum may be used to fill the space between the conductors, or a dielectric, an insulating substance, may be used instead. Capacitance is the term used to describe a capacitor's capacity to hold charges. 

Ques. What is a fully resistive circuit? (3 Marks)

Ans. Resistors impose a voltage cut in an electrical circuit based on the current flow, hinder, regulate, or set the flow of current in a specific direction. Resistance is a type of impedance that is present in resistors ( R ). A resistor's resistive quantity is measured in Ohms and can take either the form of a constant value or a changing value (potentiometers). 

It is represented by: 

Is = Vs/R

Ques. What is a fully capacitive circuit? (3 Marks)

Ans. The capacitor is a part that, has the capacity and ability to store energy in the form of an electrical charge. A capacitor's capacitance is expressed in Farads (F), and a DC circuit, possesses an infinite impedance (open-circuit). A capacitor, on the other hand, shorts out (has zero impedance) at very high frequencies. 

Impedance and current value can be determined using the following equations: 

Is = Vs/Xs

Ques. What is a fully inductive circuit? (3 Marks)

Ans. A wire coil that creates a magnetic field either inside the coil itself or around its core is what makes up an inductor. Henries units are used to measure an inductor's inductance quantity (H). An inductor is a short-circuit and has zero impedance in DC circuits. In contrast, an inductor has an infinite impedance at high frequencies (open-circuit). 

Impedance and current value can be determined using the following equations: 

XL =2πfL

Ques. State the difference between AC and DC? (5 Marks)

Ans. The difference between AC and DC current are:

Parameters Alternating Current Direct Current
Amount of energy that can be carried safe safe Safe to transfer over longer city distances and can provide more power. The voltage of DC cannot travel very far until it begins to lose energy.
Cause of the direction of flow of electrons Rotating magnet along the wire. Steady magnetism along the wire.
Frequency The frequency of alternating current is 50Hz or 60Hz depending upon the country. The frequency of the direct current is zero.
Direction It reverses its direction while flowing in a circuit. It flows in one direction in the circuit.
Current It is the current of magnitude varying with time It is the current of constant magnitude.
The flow of Electrons Electrons keep switching directions - forward and backwards. Electrons move steadily in one direction or 'forward'.
Obtained from A.C A.C Generator and mains. Cell or Battery.
Passive Parameters Impedance. Resistance only power
Power Factor Lies between 0 & 1. it is always 1.
Types Sinusoidal, Trapezoidal, Triangular, Square. Pure and pulsating.

Ques. Define amplitude, frequency, cycle, altercation, waveform, and time period. (5 Marks)

Ans. The definition of the parameters is as follows:

  • Amplitude: Amplitude is defined as the peak value or maximum value. It is the highest positive or negative value that an alternating current can reach in a single cycle. Em or Vm and Im, which stand for the maximum values of voltage and current, respectively.
  • Alternation: Alternation is defined as a one-half cycle. An electrical alternation span is 180 degrees.
  • Cycle: A collection of positive and negative values is said to have completed a cycle when they are alternated or when they rotate electrically 360 degrees.
  • Instantaneous value: An instantaneous value in the voltage or current value at any given moment in time. It's indicated by (i or e).
  • Frequency: Frequency is the number of cycles per second that an alternating quantity produces. It is expressed by and measured in cycles per second (c/s) or hertz (Hz) (f).
  • Time Frame: Time Period is the number of seconds it takes a voltage or current to complete one cycle. It's indicated by (T).
  • Wave Form: A waveform is a shape created by charting the time (t) or angle (=wt) along the x-axis and the instantaneous values of an alternating quantity, such as voltage and current, along the y-axis.

Ques. What are the different types of AC circuits? (5 Marks)

Ans. There are three types of AC circuits. They are as follows: 

  1. Circuit with a resistor and an inductor: The RC circuit is made up of an AC generator, a resistor, and a capacitor. A capacitor's basic components are a group of conducting plates spaced apart by an insulator. As a result, the capacitor is unable to receive a steady current. A time-varying current can add to or subtract electrical charges from the capacitor plates.
  2. Circuit with a resistor, inductor, and capacitor (RLC): An RLC AC circuit has a resistor R, an inductor L, and a capacitor C connected either in series or parallel. The phase relation between these elements can be stated as the immediate current and the immediate voltage across the resistor are in phase. The instantaneous voltage over the inductor causes the immediate current to be accelerated by 90 degrees and across the capacitor, the instantaneous current is greater than the instantaneous voltage.
  3. AC Resistive Circuit: The RL circuit consists of an AC generator, a resistor, and an inductor. When a circuit switch is flipped on, an RL AC circuit generates a back EMF in the inductor coil. The current takes some time to reach its maximum value. The time constant is known as the inductive time constant.

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CBSE CLASS XII Related Questions

  • 1.
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      • 2.
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              • 4.
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                • 5.
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                    • 6.
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                      CBSE CLASS XII Previous Year Papers

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