# Work Power & Energy

## WORK

When force is applied on a body and that body covers certain distance in the direction of the force, the work is said to be done.

If

f = applied force

d = distance covered

w = work done

Then mathematically we can write

W = fd

the unit of work is joule in MKS system.

### JOULE

If one Newton force is applied on a body and the covers a distance of one meter in the direction of force, then one joule of work is said to be done.

In fps system or British engineering system the unit is foot-pound.

## FOOT-POUND (ft-lb)

When one-pound force is applied on a body and that body covers a distance of one foot in the direction of force, then one foot pound of work is said to be done.

**1ft - 1b = 1.356 joule **

**1joule = 0.7375 **

## POWER

The rate of doing work is called power. It is represented by "p" its unit is joule/sec or vs att.

### WATT

When joule of work is done in one second then one-watt power is used. Power is the product of voltage and current of the electric circuit.

P=VI in BES, the unit of power is horsepower.

### HORSE POWER

When 550 ft-lb of work is done in one second, then 1 horsepower of power is used.

**1 hp = 550ft - lb/sec **

**= 550 x 1.356 joule/sec**

**= 550 x 1.356 watt**

**= 746 watt**

**ENERGY**

The capability of a body to do work is called energy.. Mathematically energy is given as

**Energy = Power x time**

**E = P x T**

**= vit joule**

**= iR * i * t joule **

**E = i ^{2}Rt joule**

**E = (V ^{2}/R)t joule**

**1 unit-=1 kilo watt hours = kwh**

## HEATING EFFECT OF CURRENT

Whenever current flows through a circuit, then the gets warmed and electrical energy is converted in to heat energy. We know that current is noting but the flow of electrons, so when electron enter in the conductor, they collide with the atoms and electron of it. As a result of these multiple collision heat is generated so this is the heating effect of the current.

## JOULES LAW

When one-ampere current is flowing through a resistance, r ohm in time t second then the work done will be given as fallows.

**W.d = vit joule**

**= i ^{2}Rt joule**

**= (V ^{2}/R)t joule**

So electrical energy is converted in to heat energy. Heat energy is represented by "h". Heat energy is given by

work done

amount of heat energy = work done / mechenical equivalent of heat

**H = WD / J**

Where j=4200 joul/k.cal

### KILO CALORIES (k.cal)

When one-kilo gram water is heated through one-degree cent grade. Then the amount of heat energy will be I k.cal.

## THERMAL EFFICIENCY

Thermal efficiency is the rate between the useful heat energy actually used in heating the water and total heat energy generated.

heat actually utilized for heating the water

TE = heat actually utilized for heating the water / total heat produced electrically

heat actually utilized for heating the water =ms(Q2-Q1)

Where

m = mass of water in gram

S=time in second

Q1=initial temp of water

Q2=final temp of water

Heat produced electrically = vit/j

**= I ^{2}Rt / J kwh**

**= V ^{2}t / RJ kwh**

Thermal efficiency is represented by eta (**η**)