Main Answer:
The potential difference across each bulb would be 2.4 V when the resistance (r) in the circuit is 4 ohms.
Explanation:
In an electrical circuit with bulbs connected in series, the potential difference (V) is distributed among the resistances according to Ohm's Law (V = IR, where I is the current and R is the resistance). To find the value of resistance (r) for a 2.4 V potential difference across each bulb, we use the formula for total resistance in a series circuit, which is the sum of individual resistances
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By setting the total resistance equal to the potential difference divided by the current, and since the current is the same for all elements in a series circuit, we can solve for the value of r. In this case, when r is 4 ohms, the total resistance equals the potential difference of 2.4 V. This ensures that each bulb receives an equal share of the voltage, resulting in a 2.4 V potential difference across each.
In summary, adjusting the value of resistance (r) to 4 ohms creates the conditions for a 2.4 V potential difference across each bulb in the series circuit. This mathematical relationship aligns with the principles of Ohm's Law and the behavior of resistors in a series configuration.
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