मराठी

You Have Three Resistors of Values 2ω, 3ω and 5ω. How Will You Join Them So that the Total Resistance is Less than 1ω? Draw Diagram and Find the Total Resistance.

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प्रश्न

You have three resistors of values 2Ω, 3Ω and 5Ω. How will you join them so that the total resistance is less than 1Ω? Draw diagram and find the total resistance. 

संख्यात्मक
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उत्तर

The three resistors should be connected in parallel
To get a total resistance less than 1Ω 

  

In parallel, if the equivalent resistance is RP, then

`therefore 1/R_p = 1/R_1 + 1/R_2 + 1/R_3`

`therefore 1/R_p =1/2+1/3+1/5`

`therefore 1/R_p = (15+10+6)/30`

`therefore 1/R_p = 31/30` 

⇒ `R_p = 30/31 = 0.97 Ω` 

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