# Finding the power supplied by a battery

• snoweangel27
In summary, the individual was able to successfully apply Kirchhoff's rules to find the current through each resistor in a multiple loop circuit. However, they encountered difficulty in determining the power supplied by the batteries in each loop. They attempted to use the equation p= I \epsilon, where \epsilon is the voltage of the battery and I is the voltage divided by the equivalent resistance of the loop. However, this approach was incorrect and they should have used P=IV=I(IR)=I^2R, where V is the power across the resistor. It is also important to note that battery voltage and total capacity will decrease as the load increases. In addition, the individual may have been using the term "battery" incorrectly and should have
snoweangel27
I have a multiple loop circuit, which I was able to apply Kirchhoff's rules to in order to find the current of each resister. However, got stuck trying to determine the power supplied by the batteries (one in each loop). I tried using the equation p= I $$\epsilon$$, where $$\epsilon$$ is the volts of the battery and I is volts of the battery divided by equivalent resistance of the loop that I am solving. Something seems to be wrong in my calculations, and I am not quite sure what I am doing wrong.

snoweangel27 said:
I have a multiple loop circuit, which I was able to apply Kirchhoff's rules to in order to find the current of each resister. However, got stuck trying to determine the power supplied by the batteries (one in each loop). I tried using the equation p= I $$\epsilon$$, where $$\epsilon$$ is the volts of the battery and I is volts of the battery divided by equivalent resistance of the loop that I am solving. Something seems to be wrong in my calculations, and I am not quite sure what I am doing wrong.

You probably did your nodal analysis wrong. If you calculated the currents correctly then you can use $$P=IV=I(IR)=I^2R$$ .

Note that V is the power across the resister.

Note that battery voltage and total capacity will drop as the load increases.

Note that battery voltage and total capacity will drop as the load increases
I suspect that he's using the term "battery" where he really means ideal DC voltage source.

I is volts of the battery divided by equivalent resistance of the loop that I am solving

Well that sounds like the problem right there, why the heck would you do that? Why did you even bother calculating all the currents (presumably) correctly if you were then going to just ignore them and do something silly like what you stated above? The correct value of I to use here is the actual value of I flowing through the voltage source (or battery) in question. You can use Kirchovs current law to find the current in each voltage source from the other currents you have calculated.

## What is the formula for finding the power supplied by a battery?

The formula for finding the power supplied by a battery is P = VI, where P is power in watts, V is voltage in volts, and I is current in amps.

## How do I determine the voltage of a battery?

To determine the voltage of a battery, you can use a voltmeter or multimeter. Connect the positive lead of the voltmeter to the positive terminal of the battery and the negative lead to the negative terminal. The display on the voltmeter will show the voltage of the battery.

## What is the relationship between power and current in a battery?

The relationship between power and current in a battery is that as the current increases, the power also increases. This means that the more current drawn from a battery, the more power it supplies.

## Can I calculate the power supplied by a battery if I only know the voltage?

No, you cannot calculate the power supplied by a battery with just the voltage. You also need to know the current in order to use the formula P = VI. You can measure the current using an ammeter or calculate it using Ohm's Law (I = V/R).

## How does the power supplied by a battery affect its lifespan?

The power supplied by a battery can affect its lifespan. Batteries that are continuously used at high power levels may have a shorter lifespan compared to those used at lower power levels. It is important to use the appropriate amount of power for the specific battery in order to maximize its lifespan.

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