Question 117Electricity & Electronics - Assistant Engineer

70% to pass

What statement is true concerning the total resistance of a parallel circuit?

AThe total resistance is equal to the sum of the individual branch resistances divided by the number of branches.
BThe total resistance is larger than that of the branch with the greatest resistance.
CThe total resistance is smaller than that of the branch with the lowest resistance.
DThe total resistance is equal to the sum of the individual branch resistances.
AI Explanation

The correct answer is C) The total resistance is smaller than that of the branch with the lowest resistance. In a parallel circuit, the total resistance is inversely proportional to the sum of the reciprocals of the individual branch resistances. This means that the total resistance will always be less than the resistance of the branch with the lowest resistance value. This is because the parallel configuration allows current to flow through multiple paths, effectively reducing the overall resistance of the circuit. The other options are incorrect because A) does not accurately describe the relationship between the total resistance and the individual branch resistances, B) is false since the total resistance is always less than the branch with the greatest resistance, and D) is incorrect because the total resistance is not equal to the sum of the individual branch resistances in a parallel circuit.

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