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We have three resistors containing 3 ohms each. To get an equivalent resistance of 2 ohms, we should connect them
  • a)
    In series
  • b)
    In parallel
  • c)
    Two in parallel and third in series with combination
  • d)
    Two in series and third in parallel in a combination
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
We have three resistors containing 3 ohms each. To get an equivalent r...
Explanation:


To find the equivalent resistance of a combination of resistors, we need to consider the rules for resistors connected in series and parallel.

Resistors in Series:
When resistors are connected in series, their resistances add up. The equivalent resistance (Rₑ) of resistors in series can be calculated using the formula:

Rₑ = R₁ + R₂ + R₃ + ...

Resistors in Parallel:
When resistors are connected in parallel, their equivalent resistance is given by the formula:

1/Rₑ = 1/R₁ + 1/R₂ + 1/R₃ + ...

Combination:
To achieve an equivalent resistance of 2 ohms using three 3-ohm resistors, we need to connect them in a combination of series and parallel.

Connecting the resistors:
By connecting two resistors in series, we can achieve an equivalent resistance of 6 ohms (3 + 3 = 6). Let's call this combination A.

By connecting the third resistor in parallel with combination A, we can calculate the equivalent resistance.

1/Rₑ = 1/6 + 1/3

Simplifying the equation:

1/Rₑ = 1/6 + 2/6

1/Rₑ = 3/6

1/Rₑ = 1/2

Rₑ = 2 ohms

Therefore, connecting two resistors in series and the third resistor in parallel with the combination will give us an equivalent resistance of 2 ohms. The correct answer is option 'D'.

Note: It is important to understand the concepts of series and parallel connections of resistors to solve such problems.
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Community Answer
We have three resistors containing 3 ohms each. To get an equivalent r...
The resistors in series give resistance = R1 + R2 = 3 + 3 = 6
Third resistor in parallel to the above resistor Then 
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