Question

(ii) What do you understand by the heating effect of electric current? In a heater of resistance \(10 \, \Omega\), a current of \(15 \, \text{A}\) is flowing for 30 minutes. What will be the amount of heat produced in the heater?

Hint:

The heating effect of electric current is directly proportional to the square of the current, resistance, and the time for which the current flows.

Answer 1

Heating Effect of Electric Current:
The heating effect of electric current is the phenomenon where electrical energy is converted into heat energy when current flows through a conductor with resistance. This effect is used in electric heaters, toasters, and other appliances. The amount of heat produced depends on the current, resistance, and time for which the current flows. The heat produced (\(H\)) is given by the formula: \[ H = I^2 R t \] Where: - \(H\) is the heat produced (in joules),
- \(I\) is the current (in amperes),
- \(R\) is the resistance (in ohms),
- \(t\) is the time for which the current flows (in seconds).
Given:
- Current, \(I = 15 \, \text{A}\)
- Resistance, \(R = 10 \, \Omega\)
- Time, \(t = 30 \, \text{minutes} = 30 \times 60 = 1800 \, \text{seconds}\)

Step 1: Calculate the Heat Produced
Using the formula \(H = I^2 R t\): \[ H = (15)^2 \times 10 \times 1800 = 225 \times 10 \times 1800 = 4,050,000 \, \text{J} \] Conclusion:
The amount of heat produced in the heater is \(4,050,000 \, \text{J}\) (4.05 MJ).