The manufacturer claims a battery charge of 1300 mAh and a talk time of 6 hours. The internal resistance of the battery is 0.4 Ω, and the output voltage is 7.1 V.

a) Calculate the power produced by the battery.

b) Calculate the internal power consumption (thermal power) of the battery.

c) Calculate the power consumption elsewhere in the circuit.

Give your answer to two decimal places.

The power produced by the battery is 125.83W, the internal power consumption is 126.15W, and the power consumption elsewhere in the circuit is -0.32W.

Explanation:

a) To calculate the power produced by the battery, we can use the formula P = VI, where P is the power, V is the voltage, and I is the current. Since the internal resistance of the battery is given, we can calculate the current using Ohm's law: I = V/R. Substituting the given values, we have I = 7.1V / 0.4Ω = 17.75A. Now, we can calculate the power: P = 7.1V * 17.75A = 125.825W. Therefore, the power produced by the battery is 125.83W.

b) The internal power consumption or thermal power of the battery can be calculated using the equation P = I^2 * R, where P is the power, I is the current, and R is the resistance. Substituting the given values, we have P = (17.75A)^2 * 0.4Ω = 126.145W. Therefore, the internal power consumption of the battery is 126.15W.

c) To calculate the power consumption elsewhere in the circuit, we can subtract the internal power consumption from the total power produced by the battery. In this case, the power consumption elsewhere is 125.83W - 126.15W = -0.32W. Note that the negative value means that power is being supplied to the circuit from the battery, indicating charging or energy storage.

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