# Difference between active power, reactive power, and apparent power

- What is meant by Electrical power?
- What is meant by DC power?
- What is AC power?
- Why DC power supply has a Power Factor?
- What is the Power factor?
- What are the types of power in an AC circuit?
- What is apparent power?
- What is active Power?
- What is reactive power?
- What is the difference between Active Power and Reactive Power?
- What is the difference between Active Power and Apparent Power?
- Key question Related to Power:
- 1. What is power?
- 2. What is horsepower?
- 3. What is the reason for the DC power supply is not being used in transmission?
- 4. What is Phasor?
- 5. Draw the phasor diagram for pure inductance, pure capacitance, and Resistance?

## What is meant by Electrical power?

The rate at which the work is being done in an **electrical circuit **is called an electrical power.

**Electrical power** is defined as the rate of transferred energy. Unit of power in watts. Power can be generated by a generator or **Electrical** Batteries, the consumed energy can be converted to other forms of energy like heat, motion, etc.

** Electric power is of two types**

- AC Power

2. DC Power

Electrical Power= work done by an electrical current/Time

P=Vit/t= VI=IR² =V²/R

Where, V=Voltage in volts,

I= Current in Amperes,

R= Resistance

T= Time in seconds P=power in watts

### What is meant by DC power?

DC stands for “**Direct Current”** is the one-directional flow of electric charge, Direct current may flow through semiconductors, Insulators, or Vacuum, The electric current flows in a constant direction

**Uses**

DC current is mainly used to charge the batteries, DC current is used in smelting Aluminum. It is also used in railways.

### What is AC power?

AC stands for ‘**Alternating Current**‘ which means the current alternatingly changes direction. This AC current is better for transporting current over long distances, which is why we use it for electricity transmission. For Domestic and Industrial (commercial), and is also present when audio and radio signals are carried on electrical wires

AC is used for transporting electric power through the electric grid from generators to end-users.

### Why DC power supply has a Power Factor?

In DC, the response of Capacitor and Inductor, Resistance.

**Resistance:**

The purely Resistance in DC circuit, the angle between the voltage and the current is 0˚, The power factor for a Resistance circuit is

PF=cos 0˚

Cos 0˚=1

P.F.= 1 (Unity).

**Capacitor:**

It’s the current that flows through the capacitor, C is the capacitance of the capacitor and

The voltage across capacitor is dv/dt

Current I=C *dv/dt

In DC the rate of change of voltage is zero, Current leads the voltage by 90˚

Cos 90˚=0,

So dv/dt =0,Since the DC doesn’t change its voltage so I= C *0, I=0.

The current (I)through a capacitor (C) is zero, so in DC source capacitor acts as an open circuit, therefore the open circuit doesn’t have a power factor.

**Inductor:**

Current (I) flows through an inductor circuit is DC, then voltage V across the inductor is

V=L*di/dt

di/dt=Change of current

Change of current in DC is zero, so di/dt=0, Current lags the voltage by 90˚

Cos 90˚=0

Voltage through the inductor is zero, the voltage across any component is zero which means Resistance is zero, The Inductor act as a short circuit.

So, Capacitor- open circuit & Inductor -Short Circuit Remaining Resistance-power factor is one.

So, It concludes that DC power neglects the power factor in the circuit.

### What is the Power factor?

* Power factor* is

*as the cosine of the angle between voltage and current*

**defined**Power Factor = Cosθ= kW/kVA = True power/Apparent power

### What are the types of power in an AC circuit?

- Apparent power, Denoted by the symbol (S)

2. Active power, Denoted by the symbol (P)

3. Reactive power, Denoted by the symbol (Q)

### What is apparent power?

It is the product of the RMS value of the applied voltage and current, It is known as wattless or idle power.

Apparent power S=V*I

**What is active Power?**

It is the power that is developed in the circuit resistance

It is also known as True power

P=I²R, P = E²/R

Active power, P =V*I* Cosθ.

In an AC circuit, active power is consumed by the equipment to do useful work

Defined | Symbol | Formula | Unit |

Real Power | P | P= VI cos θ | Watts |

Reactive Power | Q | Q = VI sin θ | VAR |

Apparent Power | S | S= VI | VA |

**What is reactive power?**

It is the power that developed in the circuit reactance. It is an unwanted part of the energy supplied, A minimum value of reactive power is always required to keep the voltage constant and supply useful Active power

Q=I²X, P =E²/X

Active power, P =V*I* sinθ.

### What is the difference between Active Power and Reactive Power?

Active Power | Reactive Power |

The power supply which is actually Consumed in an AC Circuit is called Active Power. | The power supply is an AC circuit that flows back and forth which means it moves in both directions (from source to load) in the circuit and reacts upon itself is called reactive power. |

Actual Power is denoted by “P” | Reactive Power is denoted by “Q” |

It is measured in units of watts | It is measured in units of Volt-Amps-Reactive (VAR) |

It works in AC and DC circuit | It works in an AC circuit |

The role of Active Power is to convert Electrical Energy into other forms of energy. | Reactive Power doesn’t convert energy, but it produces electrical or magnetic flux. |

Active power is a real power | Reactive power is a useless power |

Formulas: P=I² R, P= E²/R,P=VI Cosθ. E=Voltage I=Current R=Resistance For Single Phase (Power Supply) directly apply this formula, For Three Phase we need to add√3(1.732) | Formulas: Q=I² X, P= E²/X,Q=VI Sinθ E=Voltage I=Current X=Reactance. For Single Phase directly apply this formula, For Three Phase (Power Supply) we need to add√3(1.732). |

It is measured by a wattmeter | It is measured by a VAR meter |

In motor: Power used to cause rotation | In motor: Power used to create a magnetic field in the air gap between stator and rotor. |

Active power travels very far. | Limitation: Reactive Power doesn’t travel very far |

### What is the difference between Active Power and Apparent Power?

Apparent power is a combination of Real power and Reactive power, True power is a result of resistive components and reactive power is a result of capacitive and inductive components, these components are implemented commonly in all circuits.

Active Power | Apparent Power |

Active power is developed in resistance | Apparent power is a product of the RMS value of voltage and current |

Active power is also known as Real Power, Watt full Power, True Power, Actual Power | Apparent Power is called wattless Power or idle power |

Actual Power is denoted by “P” | Apparent power is denoted by “S” |

It is measured in units of watts | It is measured in units of Volt-Amps (VA) |

It works in AC and DC circuit | It works in an AC & DC circuit |

The role of Active Power is to convert Electrical Energy into another form of energy. | Apparent power is total power flowing |

Formulas: P=I² R, P= E²/R, P=VI Cosθ. E=Voltage I=Current R=Resistance For Single Phase (Power Supply) directly apply this formula, For Three Phase we need to add√3(1.732) | Formulas: S= E*I E=RMS Value of the Voltage I=RMS Value of the Current |

It is measured by Wattmeter | It is measured by KVA meter |

### Key question Related to Power:

**1. What is power?**

Power is the rate of the work done and its unit is joule/second or watt

It can be defined as one coulomb of electric charges moving through a potential difference of one volt in one second, the rate of work is one joule per second or one watt. hence power is obtained as a product of the voltage and current in the Electric Circuit.

P= E*I,P=I²R=E²R Where E=Voltage,I=current.

### 2. What is horsepower?

* Horsepower* (hp) is a unit of power, the work of a horse is done at a rate of time, with reference to the output of engines or motors. The horsepower was invented by James Watt. Horse power refers to the power an engine produces.

1hp=745.7watts

hp= Fd/t

hp= | horsepower |

F= | force in pounds |

d= | distance in feet |

t= | time in minutes |

### 3. What is the reason for the DC power supply is not being used in transmission?

DC is not used for transmission because DC goes heavy attenuation while transmission over long distance as we don’t transform it from low voltage.

### 4. What is Phasor?

Phasor is nothing but a vector that is rotating at a constant angular velocity. The length of the phasor or vector represents the magnitude of alternating quantity and the arrow indicates the direction of the vector.

### 5. Draw the phasor diagram for pure inductance, pure capacitance, and Resistance?

**Pure Resistance**

**Pure Capacitance**

**Pure Inductance**