Calculating Consumed Heat in an Electric Heater

To calculate the consumed heat in an electric heater, we need to know the following details:

- Resistance of the heater: 100 ohm
- Voltage of the source: 220 V
- Time used: 25 minutes

Calculating Power

First, we need to calculate the power consumed by the heater using the formula:

Power (P) = (Voltage)^2 / Resistance

Substituting the given values, we get:

P = (220)^2 / 100
P = 48400 / 100
P = 484 watts

Therefore, the electric heater consumes 484 watts of power.

Calculating Energy

Next, we need to calculate the energy consumed by the heater in 25 minutes. We can use the formula:

Energy (E) = Power x Time

Substituting the given values, we get:

E = 484 x (25 x 60)
E = 484 x 1500
E = 726000 joules

Converting Joules to Calories

Finally, we need to convert the energy consumed from joules to calories. 1 calorie is equal to 4.184 joules.

Therefore, to convert from joules to calories, we need to divide the energy by 4.184:

Consumed heat = 726000 / 4.184
Consumed heat = 173563.218 calories

Therefore, the electric heater consumes approximately 173563.218 calories in 25 minutes.

Conclusion

In conclusion, the consumed heat in an electric heater can be calculated using the power and time consumed by the heater. By using the above method, we can calculate the consumed heat in calories.

I = V/R =220/100 AR=100 OhmT=25 Mins =25×60 sHeat produced=(I^2) ×R × T=(220/100) × (220/100) × 100 ×1500 J=726000 J=(726000/4.186 ) calories since, 1calorie =4.186 joules=1.7 ×10^5 calories approximately. .