Heating Effect of Electric Current: Overview, Questions, Preparation

Current Electricity 2021

Updated on Aug 25, 2021 12:19 IST

Heating effect of electric current

The heating effect of an electric current is widely seen in our daily lives. Electric iron, kettle, toaster, heaters, etc., are used as alternatives to conventional cooking and laundry methods. The same heating principle applies to electric bulbs, the alternative to conventional lights. The heating effect of an electric current has revolutionized the world for years.

Applications

Most household electrical equipment changes electrical energy to heat this way. These include filament lights, electric heaters, electric iron, electric kettle, etc.

In lighting equipment

Filament lights - These are made of tungsten wire covered in glass bulbs from which air has been removed. This is because the air will oxidize the filament. The filament is heated to high temperatures and turns white. Tungsten is used because of the high melting point; 34000 bulbs filled with non-active gases. This problem is minimized by the circular wire and occupies a smaller area that reduces heat loss through convection.

Neon lights - This light is more efficient compared to filament lights and lasts longer. They have mercury vapour in a glass tube that emits ultraviolet radiation when switched on. This radiation causes powder in the tube to shine (fluoresce). Different powders produce different colors. Note that the fluorescent lights are expensive to install, but their costs run far less.

Reference Source: BrainKart (No such image found in NCERT)

In electricity heating

Electric stoves - Electric stoves turn hot and produce heat energy, absorbed by cooking pots through conduction.

Electric heaters - Radiation heaters become red at around 900°C, and radiation emitted is directed indoor by the polished reflector.

Electric kettle: The heating element is at the bottom of the kettle, so the liquid is heated and covered. The heat is then absorbed by water and distributed to all fluids with convection.

Illustrated Examples

Electric ball labeled 100W, 240V. Calculate:

  1. a) The current through the filament when the bulb functions normally.
  2. b) The resistance of the filament used in the bulb.

I = p / v = 100/240 = 0.4167a

R = p / i2 = 100 / 0.41672 = 576.04Ω or r = v2 / p = 2402/100 = 576Ω

Find energy scattered in 5 minutes with an electrical bulb with a 500Ω resistance filament connected to a 240V supply. {ANS. 34.560j}

Electric iron consumes energy at the level of 840W when heating at the maximum level and 360 w when heating is at minimum. The voltage is 220 v. What is the current and Resistance in every case?

We know that power input is

P = v i

So i = p / v at this time

(A) when heating at the maximum level,

I = 840 W / 220V = 3.82 A;

and electric iron resistance is

R = v / i = 220 v / 3.82 a = 57.60 Ω.

(B) When heating at the minimum level,

I = 360 W / 220V = 1.64 A;

and electric iron resistance is

R = v / i = 220 v / 1.6 a = 134.15 Ω.

What is the S.I unit of current?

Ampere (A)

FAQs

Q: (a) Three resistors 2 Ω, 4 Ω and 5 Ω are combined in parallel. What is the total resistance of the combination? (b) If the combination is connected to a battery of emf 20 V and negligible internal resistance, determine the current through each resistor, and the total current drawn from the battery.

A: Let R1= 2 Ω, R2= 4 Ω, R3= 5 Ω

If the equivalent resistance is R, then 1/R = 1/R1 + 1/R2 + 1/R3 = 1/2 + 1/4 + 1/5 = 10+5+4/20  = 19/20

R = 20/19 = 1.05 Ω

  • (b) The EMF of the battery = 20 V

Current through R1, I1 = V/R1 = 20/2 = 10 A

Current through R2, I2 = V/R2 = 20/4 = 5A

Current through R3, I3  = V/R3 = 20/5 = 4 A

Total current I = I1 + I2 + I3 = 10 + 5 + 4 = 19 A

Q: At room temperature (27.0 °C) the resistance of a heating element is 100 Ω. What is the temperature of the element if the resistance is found to be 117 Ω, given that the temperature coefficient of the material of the resistor is 1.70 × 10^–4 °C–1.

A: Let T be the room temperature and R be the resistance at room temperature and T1 be the required temperature and R1 be the resistance at that temperature and α be the coefficient of resistor.

We have:

T = 27°C, R = 100 Ω, T1 = ?, R1 = 117 Ω, α = 1.70 X 10-4 ° C-1

We know the relation of α can be given as

α = R1 -R / R (T2-T)= (117-100) / 100(T1-27) = 1.70 X 10-4

or ( T1 - 27) = (117-100) / 100 X 1.70 X 10-4 = 1000

T1 = 1000 +27 = 1027° C

Q: A silver wire has a resistance of 2.1 Ω at 27.5 °C, and a resistance of 2.7 Ω at 100 °C. Determine the temperature coefficient of resistivity of silver.

A: Let us assume R = 2.1 Ω, T = 27.5 °C, R1 = 2.7 Ω, T1 = 100 , α = resistivity of silver

We know the relation of α can be given as

α = (R1 - R) /R ( T1 -T) = 2.7 - 2.1 / 2.1(100-27.5) = 3.94 X 10-3 ° C-1

Q: Explain the Joule heating effect?

A: Heating Joule is a physical effect where the current passing through electrical conductors produces thermal energy.

Q: Why is heat produced by the current?

A: The flow of electrons causes a conductor to produce an electric current. When this flowing electron crashes into an atom in the conductor, it transfers some of its kinetic energy. It produces heat in the conductor and increases the temperature.

Q: Can we say that heat is directly proportional to current?

A: Joule's law states that a conductor's capacity for producing heat is proportional to the square of electric current flowing through it.

Q: If we decrease the resistance, the heat will increase. Explain the statement.

A: Heating metal conductors generates more vibrating atoms making it more difficult for electrons to flow, thus increasing resistance. This collision causes resistance and produces heat.

Q: What is the formula of heating current?

A: The heating effect produced by an electric current, I through resistance conductors, r for a while, t given by H = I2RT. This equation is called the Joule electric heating equation.

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