What is the electric power of an electrical appliance when 10 A of current is flowing through a resistor of 2 ohms?
The electrical output of a device that uses a resistor with a 2 ohm resistance and 10 A of current is 200 W. To calculate the electric power, we can use the formula:
P = I² * R
Where:
P is the power in watts (W),
I is the current in amperes (A),
R is the resistance in ohms (Ω).
Given:
I = 10 A
R = 2 Ω
Substitute the values into the formula:
P = (10 A)² * 2 Ω
P = 100 A² * 2 Ω
P = 200 W
Therefore, the electric power of the electrical appliance is 200 W.
Calculation of Electric Power
In this scenario, we are tasked with determining the electric power of an electrical appliance with a current of 10 A passing through a resistor of 2 ohms. Electric power is a crucial aspect of electrical systems as it indicates how much work can be done by the appliance.
The Formula Used:
The formula to calculate electric power is P = I² * R, where P is the power in watts, I is the current in amperes, and R is the resistance in ohms. By utilizing this formula, we can find the power consumed by the electrical appliance.
Given Parameters:
In our situation, we have been provided with the following values:
- Current (I) = 10 A
- Resistance (R) = 2 Ω
Substitute and Solve:
By substituting these values into the formula, we can determine the electric power:
P = (10 A)² * 2 Ω
P = 100 A² * 2 Ω
P = 200 W
Conclusion:
Therefore, the electric power of the electrical appliance when 10 A of current flows through a resistor of 2 ohms is 200 W. This power output is crucial in understanding the energy consumption and efficiency of the electrical device. It showcases how much work the device can accomplish and is essential in various fields, including electronics and power engineering.