Q 17: an electric heater of resistance 5? Draws 21 A from the service mains 3 hours. Calculate the rate at which heat is developed in the heater.
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Answer :
- 2205 watt is the rate at which heat is developed in the heater
Given :
- An electric heater of resistance 5
- Draws 21 A from the service main 3 hours
To find :
- The rate at which heat is developed in the heater
Solution :
Given,
- An electric heater of resistance is 5 Ω (R)
- Current drawn (l) = 21 A
- Time = 3 hours
We know that
- 3 hours = 180 minutes
↦ Time = 180 × 60
↦ Time = 10800 sec
Finding the rate at which heat is developed in the heater
We know that
- P = I²R
↦ P = I²R
↦ p = 21 × 21 × 5
↦ P = 2205 watt
Hence, 2205 watt is the rate at which heat is developed in the heater
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