Problem 6: The voltage of a battery will drop a bit from its ideal voltageE when it is connected in a circuit. This effect can be modeled by ascribing14an internal resistance r to the battery, so that the voltage across the batteriesterminals is reduced, and given byV = E - Irwhere I is the current flowing through the battery.Suppose that a 15 Volt battery is connected in series with a 10 2 resistorin a closed-loop circuit, but the battery itself has a comparable internal resis-tance r = 1 N. (a) What is the current in the loop in steady state? (b) Whatis the voltage drop across the resistor? What is the voltage drop across thebattery? (c) At what rate is heat dissipated by the resistor? At what rate isheat dissipated by the battery? (d) If the battery is well insulated, and its heatcapacity is 5 J/K, about how many minutes can the circuit be closed before thetemperature of the battery rises to 451 degrees F?

Answered: Problem 6: The voltage of a battery…

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