The effective resistance of three equal resistances, each of resistance r, connected in parallel, is

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Q: 63 (NDA-I/2010)
The effective resistance of three equal resistances, each of resistance r, connected in parallel, is

question_subject: 

Science

question_exam: 

NDA-I

stats: 

0,9,8,5,9,3,0

keywords: 

{'equal resistances': [0, 0, 1, 1], 'effective resistance': [0, 0, 1, 0], 'parallel': [0, 1, 3, 5]}

The effective resistance of resistors connected in parallel can be calculated using the formula:

1/Re = 1/R1 + 1/R2 + 1/R3 + ...

In this case, we have three equal resistances connected in parallel, each with a resistance of r. So, the formula becomes:

1/Re = 1/r + 1/r + 1/r

Simplifying this equation, we get:

1/Re = 3/r

To find the effective resistance, we take the reciprocal of both sides:

Re = r/3

So, the correct answer is option 2: r/3.