If a current is 5A flow through an electric appliance when potential d...
To calculate the power consumed by an electric appliance, we can use the formula P = VI, where P is the power in watts (W), V is the potential difference in volts (V), and I is the current in amperes (A).
If a current of 5A flows through an appliance when a potential difference of 100V is applied, the power consumed is:
P = VI = (100V)(5A) = 500W
If the appliance is connected to a 220V supply and the current remains the same (5A), the power consumed is:
P = VI = (220V)(5A) = 1100W
So, when the appliance is connected to a 220V supply, the power consumed is 1100W, which is greater than the power consumed when the appliance is connected to a 100V supply.
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If a current is 5A flow through an electric appliance when potential d...
Understanding Power Consumption
Power (P) consumed by an electrical appliance is calculated using the formula:
P = V × I
where P is power in watts, V is voltage in volts, and I is current in amperes.
Initial Conditions
- Current (I) = 5A
- Voltage (V) = 100V
Calculating Initial Power
Using the formula:
- P = 100V × 5A
- P = 500 Watts
This means the appliance consumes 500 watts when connected to a 100V supply.
New Supply Voltage
Now, let's consider the appliance connected to a 220V supply.
Current at 220V
Assuming the appliance operates under the same resistance, we first need to determine its resistance (R) using Ohm’s law:
R = V / I
For the initial conditions:
- R = 100V / 5A
- R = 20 Ohms
Now, we calculate the new current (I') at 220V:
I' = V' / R
- I' = 220V / 20 Ohms
- I' = 11A
Calculating New Power
Now, we can find the power consumed at 220V:
- P' = 220V × 11A
- P' = 2420 Watts
Conclusion
The power consumed by the appliance when connected to a 220V supply is 2420 watts. This significant increase in power consumption is due to the higher voltage applied, demonstrating the relationship between voltage, current, and power in electrical appliances.
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