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Physics, 13.03.2020 17:32 tomtom6870
An external resistor with resistance R is connected to a battery that has emf ε and internal resistance r. Let P be the electrical power output of the source. By conservation of energy, P is equal to the power consumed by R. What is the value of P in the limit that R is:. (a) What is the value of P in the limit that R is very small?
(b) What is the value of P in the limit that R is very large?(c) Show that the power output of the battery is a maximum when R = r . What is this maximum P in terms of ε and r? (d) A battery has [Math Processing Error] and [Math Processing Error]. What is the power output of this battery when it is connected to a resistor R, for [Math Processing Error], [Math Processing Error], and [Math Processing Error]? Are your results consistent with the general result that you derived in part (b)?
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