Subelement I: Power Sources— Topic 61: Batteries-2
Question 3-61I5
Element 3 (GROL)A 6 volt battery with 1.2 ohms internal resistance is connected across two light bulbs in parallel whose resistance is 12 ohms each. What is the current flow?
Explanation
To determine the total current flow, first calculate the equivalent resistance of the two parallel light bulbs. For two equal resistors in parallel, the equivalent resistance is half of one resistor: $R_{parallel} = \frac{12 \text{ ohms}}{2} = 6 \text{ ohms}$.
Next, sum this parallel resistance with the battery's internal resistance, which is in series with the bulbs, to find the total circuit resistance: $R_{total} = R_{parallel} + R_{internal} = 6 \text{ ohms} + 1.2 \text{ ohms} = 7.2 \text{ ohms}$.
Finally, apply Ohm's Law ($I = \frac{V}{R}$) to find the total current: $I = \frac{6 \text{ volts}}{7.2 \text{ ohms}} \approx 0.833 \text{ amps}$.
This calculation matches option B. The other options result from incorrect resistance calculations or Ohm's Law application.
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