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Electric power is calculated using the formula [tex]P = V \times I[/tex], where \(V\) is voltage and \(I\) is current.

When a car battery at 12 V is charged with a current of 6 amperes for 3 hours, how much energy is delivered?

Answer :

Final answer:

To calculate the energy delivered by charging a 12V car battery with 6A for 3 hours, we need to use the formulas for power and energy. We first find that the power is 72W. We then multiply this by the time (in seconds) to find that 777,600 Joules of energy is delivered.

Explanation:

To calculate the energy delivered we need to understand that electric energy is the product of power and time.

First, we calculate power using the formula P = V * I, where P is power, V is voltage, and I is current. Therefore, P = 12V * 6A = 72 Watts.

Energy is the product of power and time, expressed by the formula E = P * t. Here, t is the time in seconds. As time is given in hours, we need to convert it to seconds. 3 hours equals 10800 seconds.

Now we can substitute the values into the energy formula: E = 72W * 10800s = 777,600 Joules. Therefore, 777,600 Joules of energy is delivered when a 12V car battery is charged with 6A for 3 hours.

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