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A battery with an emf of 12.0 V shows a terminal voltage of 11.3 V when operatin

ID: 2120801 • Letter: A

Question

A battery with an emf of 12.0 V shows a terminal voltage of 11.3V when operating in a circuit with two lightbulbs rated at 3.0 W (at 12.0 V) which are connected in parallel. Part A What is the battery's internal resistance? A battery with an emf of 12.0 V shows a terminal voltage of 11.3V when operating in a circuit with two lightbulbs rated at 3.0 W (at 12.0 V) which are connected in parallel. A battery with an emf of 12.0 V shows a terminal voltage of 11.3V when operating in a circuit with two lightbulbs rated at 3.0 W (at 12.0 V) which are connected in parallel. A battery with an emf of 12.0 V shows a terminal voltage of 11.3V when operating in a circuit with two lightbulbs rated at 3.0 W (at 12.0 V) which are connected in parallel. Part A What is the battery's internal resistance?

Explanation / Answer

effective power of the bulbs connected in parallel= 3+3=6 WATTS

voltage difference across the bulbs= 11.3 volts


P=V X I

6=(11.3)X I

I= 0.531 amperes .................(1)


let "r" be the internal resistance of the battery


12= 11.3 + (I)(r)

substituting (1) in the above equation, we get


r= 1.32 ohms

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