Solve the all parts of given question:
Question: A battery and a light bulb are connected in series so a current flows through the light bulb. The battery provides a constant voltage of 12 Volts. The light bulb has a Power output of 30 Watts once the filament has reached its final temperature.
Question I: What is the current drawn from the battery by the light bulb?
Question II: What is the resistance of the filament of the light bulb?
Question III: If the battery has a capacity of 1250 milliamp-hours, i.e. it can deliver 1 mA for 1250 hours or equivalently 1250 mA for 1 hour before it is out of charge, how long in would the battery last assuming a constant rate of energy delivered to the bulb?
Please show each step and calculation of above questions. Thanks.