What is the total current in figure "B" of...

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Question 1 of 205eccefa3bacbc34ba4d47f0d

What is the total current in figure "B" of the illustrated circuit powered by a 6 volt battery if the resistance of R1 is 2 ohms, R2 is 4 ohms, and R3 is 4 ohms, respectively with the switch closed? See illustration EL-0019.

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🔍 Key Concepts

• Identify that in figure B the resistors R1, R2, and R3 are connected in parallel, not in series. • Use the equivalent resistance formula for parallel resistors: 1/RT = 1/R1 + 1/R2 + 1/R3. • Apply Ohm’s Law using the battery voltage (6 V) and the total resistance RT to find the total current: I = V / RT.

💭 Think About

• Look carefully at how each resistor is connected to the switch and return path. Do all three share the same two connection points, or are they end‑to‑end? • After finding the equivalent resistance of the three parallel resistors, compare whether that resistance is smaller or larger than the smallest individual resistor. Does your result make sense? • Once you compute RT, plug it into I = V / RT. Which answer choice is closest to the current you calculate?

✅ Before You Answer

• Confirm that all three resistors are indeed in parallel in figure B when the switch is closed. • Double‑check your math when adding the reciprocals: 1/RT = 1/R1 + 1/R2 + 1/R3. • Verify that the final current you compute with I = V / RT uses the full 6 volts of the source and expresses current in amps.

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