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Three resistance each of 4Q are connected to from a triangle. The resistance b / w two terminal is -

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Question

Three resistance each of 4Ω are connected to from a triangle. The resistance b / w two terminal is

Options

  • 12 Ω

  • 6 Ω

  • `8/3` Ω

  • 2 Ω

MCQ

Solution

`8/3` Ω

Explanation:

The resistance of two triangle arms will be in series (4 + 4 = 8Ω). This resistance will be parallel to the third arm's resistance (= 4Ω).

∴ 

∴ RAB = `(4 xx 8)/(4 + 8) = 48/12 = (4 xx 8)/(4 xx 3) = 8/3`Ω

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