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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

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

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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.

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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.

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

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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}).

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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.