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Electricity: Magnetic and Heating Effects - Heating Effect of Electric Current

Grade 8CBSE

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

When an electric current flows through a wire, the wire gets hot. This is known as the heating effect of electric current.

The amount of heat produced in a wire depends on its material, length, and thickness. For example, wires used for making electric circuits do not normally become hot, whereas elements of heating appliances do.

Heating appliances like electric irons, heaters, and toasters contain a coil of wire called an 'element'. When current flows through the element, it becomes red hot and gives out heat.

The filament of an electric bulb (usually made of tungsten) gets heated to such a high temperature that it starts glowing and emitting light.

An electric fuse is a safety device based on the heating effect of current. It contains a wire made of a special material that melts quickly and breaks the circuit if the current exceeds a safe limit (I>IlimitI > I_{limit}).

The heat produced (HH) in a conductor is directly proportional to the square of the current (I2I^2), the resistance of the conductor (RR), and the time (tt) for which the current flows. This is known as Joule's Law of Heating.

📐Formulae

H=I2RtH = I^2 R t

P=V×IP = V \times I

H=P×tH = P \times t

R=VIR = \frac{V}{I}

💡Examples

Problem 1:

Calculate the heat produced in a wire of resistance 20 Ω20\text{ }\Omega when a current of 2 A2\text{ A} passes through it for 10 seconds10\text{ seconds}.

Solution:

Given: Current I=2 AI = 2\text{ A}, Resistance R=20 ΩR = 20\text{ }\Omega, Time t=10 st = 10\text{ s}. Using the formula H=I2RtH = I^2 R t: H=(2)2×20×10H = (2)^2 \times 20 \times 10 H=4×20×10=800 JH = 4 \times 20 \times 10 = 800\text{ J}

Explanation:

The heat produced is calculated by squaring the current and multiplying it by the resistance and the duration of flow, resulting in 800 Joules800\text{ Joules}.

Problem 2:

An electric heater is rated at 1000 W1000\text{ W}. How much heat energy does it produce in 2 minutes2\text{ minutes}?

Solution:

Given: Power P=1000 WP = 1000\text{ W}, Time t=2 minutes=2×60=120 st = 2\text{ minutes} = 2 \times 60 = 120\text{ s}. Using the formula H=P×tH = P \times t: H=1000×120=1,20,000 JH = 1000 \times 120 = 1,20,000\text{ J} or 120 kJ120\text{ kJ}

Explanation:

Power is the rate at which energy is converted. Multiplying power by time (in seconds) gives the total heat energy produced in Joules.

Heating Effect of Electric Current - Revision Notes & Key Formulas | CBSE Class 8 Science