A battery is connected to a circuit...

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Question 1 of 205eccefa3bacbc34ba4d47f06

A battery is connected to a circuit containing three resistors in parallel. The values of the three resistors are 2 ohms, 3 ohms, and 6 ohms. What is the voltage of the battery if the total circuit current is 12 amps?

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🔍 Key Concepts

• Parallel circuits – the voltage across each resistor in parallel is the same as the battery voltage • Ohm’s Law – the relationship between voltage, current, and resistance: V = I × R • Equivalent resistance of parallel resistors – how to combine 2 Ω, 3 Ω, and 6 Ω when they are in parallel

💭 Think About

• First, find the equivalent (total) resistance of the three resistors in parallel before using Ohm’s Law • Ask yourself: in a parallel circuit, how do you add conductances (1/R) to find the total resistance? • Once you know the total resistance, how can you use the given total current (12 A) to find the battery voltage?

✅ Before You Answer

• Be sure you are using the parallel resistor formula, not the series formula • Double-check that you calculated 1/R_total correctly before inverting it to get R_total • After finding the voltage, verify that the current each branch would draw at that voltage adds back up to 12 A total

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