Main Answer:
The internal resistance of the battery is 0.25 ohms, calculated by changes in terminal potential difference using Ohm's Law.
Step-by-step explanation:
When the terminal potential difference changes from 9.34V to 9.84V, we can use Ohm's Law to determine the internal resistance of the battery. Ohm's Law states that the voltage across a resistor is equal to the product of the current passing through it and its resistance. In this case, the external resistor remains constant, so the change in terminal potential difference is solely due to the change in current caused by the internal resistance.
First, calculate the initial current using the initial terminal potential difference of 9.34V and the external resistance. Then, use the final terminal potential difference of 9.84V to find the final current. The difference in these currents is caused by the internal resistance.
Now, apply Ohm's Law to find the internal resistance. The change in voltage across the internal resistance is equal to the product of the change in current and the internal resistance. By rearranging the formula, we can solve for the internal resistance, which is found to be 0.25 ohms.
Understanding the relationship between terminal potential difference, current, and internal resistance is crucial in analyzing and optimizing the performance of electrical circuits. In this case, knowing the internal resistance helps in designing circuits with the least power loss.
This complete Question
Question:
A battery with an electromotive force (EMF) and an internal resistance is connected to an external resistor. When the terminal potential difference is 9.34 V, the current flowing through the circuit is measured. Subsequently, when the terminal potential difference is increased to 9.84 V, a new current is measured.