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An electric iron consumes energy at a rate of 840 W when heating is at the maximum rate and 360 W when the heating is at minimum. The voltage is 220 V.
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Question :
An electric iron consumes energy at a rate of 840W when heating is at maximum rate and 360W when heating is at the minimum. The voltage is 220V. What are the current and the resistance in each case?
Solution :
Given :
- Voltage [V] = 220V
- Max. power = 840W
- Min. power = 360W
C A S E ( A ) :
Here :
- Power [P] = 840W
- Voltage [V] = 220V
Finding current :
- P = VI
- I = P/V
- I = 840/220
- I = 84/22
- I = 3.82A
Finding resistance :
- V = IR
- R = V/I
- R = 220/3.82
- R = 57.60Ω
The current and resistance is 3.82A and 57.6Ω.
C A S E ( B ) :
Here :
- Power [P] = 360W
- Voltage [V] = 220V
Finding current :
- I = P/V
- I = 360/220
- I = 36/22
- I = 18/11
- I = 1.64A
Finding resistance :
- R = V/I
- R = 220/1.64
- R = 134.15Ω
Therefore, the current and resistance is 1.64A and 134.15Ω.
_____________________
Hope this helps! :)
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