A battery with a terminal voltage of 12.5 V...

Question 1 of 270702BFXRBEzkcZoa71i6cVm

A battery with a terminal voltage of 12.5 V is to be trickle-charged at a 0.5 A rate. What resistance should be connected in series with the battery to charge from a 110 V line?

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Question 1 of 27070

Q

A battery with a terminal voltage of 12.5 V is to be trickle-charged at a 0.5 A rate. What resistance should be connected in series with the battery to charge from a 110 V line?

🔍 Key Concepts

• Ohm's Law: V = I × R • Series circuit: the line voltage is split between the resistor and the battery • The voltage drop across the resistor equals line voltage minus battery terminal voltage

💭 Think About

• First, find how much voltage must be dropped by the series resistor, given the line voltage and the battery voltage. • Use Ohm’s Law to compute the resistor value required to get 0.5 A with that voltage drop. • Compare your computed resistance to the answer choices and consider whether any mismatch would lead you to choose 'None of the above'.

✅ Before You Answer

• Carefully compute the voltage difference between the 110 V line and the 12.5 V battery. • Make sure the current used in Ohm’s Law is 0.5 A (the trickle-charge rate given). • Re-check your unit consistency (volts, amps, ohms) before matching your number to the closest choice.