Three identical resistors are first connected in a star and then in a delta configuration. The ratio of power consumption in the first combination to the second will be:

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  1. 1/√3
  2. 1
  3. 1/3
  4. 3

Answer (Detailed Solution Below)

Option 3 : 1/3
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Detailed Solution

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Concept:

When resistors are connected in delta, the circuit as shown below.

Power consumed, 

When resistors are connected in star, the circuit as shown below.

By using star-delta conversion, the circuit becomes

Power consumed, 

Therefore, WΔ = 3WY

So that power consumed by three identical resistors in star configuration is 1/3 times of power consumption in delta configuration.

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