A battery with an internal resistance of 10.0 Ω produces anopen circuit voltage of 12.0 V. A variable load resistance with arange from 0 to 30.0 Ω is connected across the battery. (Note:A battery has a resistance that depends on the condition of itschemicals and that increases as the battery ages. This internalresistance can be represented in a simple circuit diagram asa resistor in series with the battery.) (a) Graph the power dissipatedin the load resistor as a function of the load resistance.(b) With your graph, demonstrate the following importanttheorem: The power delivered to a load is a maximum if the loadresistance equals the internal resistance of the source.

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Chapter10: Direct-current Circuits
Section: Chapter Questions
Problem 69AP: Consider the circuit below. The battery has an emf of = 30.00 V and an internal resistance of r =...
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A battery with an internal resistance of 10.0 Ω produces an
open circuit voltage of 12.0 V. A variable load resistance with a
range from 0 to 30.0 Ω is connected across the battery. (Note:
A battery has a resistance that depends on the condition of its
chemicals and that increases as the battery ages. This internal
resistance can be represented in a simple circuit diagram as
a resistor in series with the battery.) (a) Graph the power dissipated
in the load resistor as a function of the load resistance.
(b) With your graph, demonstrate the following important
theorem: The power delivered to a load is a maximum if the load
resistance equals the internal resistance of the source.

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