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Question no. 27218

Six parallel resistors include two minimum-value resistors of 1.2 kΩ each. What can be said about the total resistance______________?

Select your answer for: Six parallel resistors include two minimum-value resistors of 1.2 kΩ each. What can be said about the total resistance______________?
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Answer: D. is less than 600 Ω

Explanation

The total equivalent resistance of any parallel resistor network is always less than its smallest branch. The smallest individual resistor in this parallel network is valued at one point two kilo ohms. Adding more parallel resistors further decreases the total equivalent resistance below six hundred ohms. Parallel resistance formulas result in an equivalent resistance smaller than any individual resistor. Two identical parallel resistors divide the individual resistance value exactly in half. Parallel connections provide additional current paths, thereby reducing overall circuit resistance.

Circuit designers use parallel resistors to achieve custom resistance values not available commercially. Understanding parallel resistance helps prevent overloading power supplies with excessively low loads. Electrical wiring utilizes parallel concepts to calculate combined conductor resistance in power grids. Option A states the total is less than six kilo ohms which is true but insufficiently precise. Option B incorrectly claims the total resistance is greater than the smallest individual branch. Option C is correct that it is less than one point two kilo ohms, but option D is more specific.

Subject
Engineering
Topic
—
Difficulty
medium

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