Problem 6: The voltage of a battery will drop a bit from its ideal voltage E when it is connected in a circuit. This effect can be modeled by ascribing 14 an internal resistance r to the battery, so that the voltage across the batteries terminals is reduced, and given by V = E - Ir where I is the current flowing through the battery. Suppose that a 15 Volt battery is connected in series with a 10 2 resistor in a closed-loop circuit, but the battery itself has a comparable internal resis- tance r = 1 2. (a) What is the current in the loop in steady state? (b) What is the voltage drop across the resistor? What is the voltage drop across the battery? (c) At what rate is heat dissipated by the resistor? At what rate is heat dissipated by the battery? (d) If the battery is well insulated, and its heat capacity is 5 J/K, about how many mimutes can the circuit be closed before the temperature of the battery rises to 451 degrees F? %3D

Problem 6: The voltage of a battery will drop a bit from its ideal voltage E when it is connected in a circuit. This effect can be modeled by ascribing 14 an internal resistance r to the battery, so that the voltage across the batteries terminals is reduced, and given by V = E - Ir where I is the current flowing through the battery. Suppose that a 15 Volt battery is connected in series with a 10 2 resistor in a closed-loop circuit, but the battery itself has a comparable internal resis- tance r = 1 2. (a) What is the current in the loop in steady state? (b) What is the voltage drop across the resistor? What is the voltage drop across the battery? (c) At what rate is heat dissipated by the resistor? At what rate is heat dissipated by the battery? (d) If the battery is well insulated, and its heat capacity is 5 J/K, about how many mimutes can the circuit be closed before the temperature of the battery rises to 451 degrees F? %3D