Question

A battery has an emf of 12.0 V and an internal resistance of 0.210 Q. Its terminals are connected to a load resistance of 3.00 . Circuit diagram of a source of emf (in this case, a battery), of internal resistance r, connected to an external resistor of resistance R. for ning R (a) Find the current in the circuit and the terminal voltage of the battery. SOLUTION Conceptualize Study the figure, which shows a circuit consistent with the problem statement. The battery delivers energy to the load resistor. In the figure, which of the following represents the load resistor? OR OI OE Categorize This example involves simple calculations from this section, so we categorize it as ---Select-- problem. Use the following equation to find the current in A) in the circuit: E R+ A Use the following equation to find the terminal voltage (in V): AV = E - Ir = V To check this result, calculate the voltage (in V) across the load resistance R: AV = IR = v (b) Calculate the power delivered to the load resistor, the power delivered to the internal resistance of the battery, and the power delivered by the battery. SOLUTION Use the following equation to find the power in W) delivered to the load resistor: Pa = IPR w Find the power in W) delivered to the internal resistance: P. - 12 = w Find the power in W) delivered by the battery by adding these quantities: P = PA + P,= W

Answer 1