The terminal voltage of a battery is 4.0V when supplying a current of 2.0A, and 2.0V when supplying a current of 3.0A. The internal resistance of the batter...
The terminal voltage of a battery is 4.0V when supplying a current of 2.0A, and 2.0V when supplying a current of 3.0A. The internal resistance of the battery is
Answer Details
The internal resistance of the battery can be calculated using the formula:
R = (V1 - V2) / (I2 - I1)
Where:
V1 = voltage of the battery when supplying current I1
V2 = voltage of the battery when supplying current I2
I1 = current supplied to the battery when measuring V1
I2 = current supplied to the battery when measuring V2
Substituting the given values in the above formula, we get:
R = (4.0V - 2.0V) / (3.0A - 2.0A) = 2.0Ω
Therefore, the internal resistance of the battery is 2.0Ω.
Explanation: The internal resistance of a battery is the resistance offered by the electrolyte inside the battery to the flow of current. When a battery is connected to an external circuit, the current flows through the external circuit and through the internal resistance of the battery. The voltage drop across the internal resistance reduces the terminal voltage of the battery. By measuring the terminal voltage of the battery at two different currents, we can calculate the internal resistance of the battery using the formula mentioned above.