High School

A real battery has an open circuit voltage of 3 V. When it is attached to a 6-ohm load resistor, you measure 2.1 V across its terminals. What is the internal resistance of the battery?

Enter a decimal number. Your answer must be within 5%.

Answer :

The internal resistance of a battery can be calculated using the formula:

Internal resistance = (Open circuit voltage - Load voltage) / Load current

In this case, the open circuit voltage of the battery is given as 3V, and the load voltage across the terminals of the battery when connected to a 6-ohm load resistor is measured as 2.1V.

To find the load current, we can use Ohm's Law:

Load current = Load voltage / Load resistance

Substituting the given values, we have:

Load current = 2.1V / 6Ω = 0.35A

Now we can calculate the internal resistance using the formula mentioned earlier:

Internal resistance = (3V - 2.1V) / 0.35A = 0.9V / 0.35A = 2.571Ω

Therefore, the internal resistance of the battery is approximately 2.571 ohms.

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