I'm guessing that you can't just simplify a circuit like this by drawing a battery as the inductor and just add a resistor to the side which stands for the internal resistance.
Internal resistance is the resistance that exists within a power source, such as a battery or generator. It is caused by the materials and design of the power source and can affect its performance.
Modeling internal resistance is important because it allows us to understand how a power source will behave under different conditions and how it may impact the overall circuit or system. It can also help us determine the lifespan and efficiency of the power source.
Internal resistance can be measured using a multimeter or other specialized equipment. It is typically measured by applying a known load to the power source and measuring the voltage drop across it.
The internal resistance of a power source can be affected by a number of factors, including the materials used, the design and construction of the power source, temperature, and the age and condition of the power source.
Internal resistance can be modeled mathematically using Ohm's law, which states that the voltage drop across a resistor is equal to the current through the resistor multiplied by its resistance. This equation can be applied to the internal resistance of a power source to calculate the voltage drop and current under different conditions.