What is the resultant resistance if two resistors of each 2 Ω resistance are connected in parallel?

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RRB JE Previous Paper 1 (Held On: 22 May 2019 Shift 2)
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  1. 0.5 Ω
  2. 1 Ω
  3. 3 Ω
  4. 2 Ω

Answer (Detailed Solution Below)

Option 2 : 1 Ω
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Detailed Solution

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CONCEPT:

  • Resistances in parallel combination: When the terminals of two or more resistances are connected at the same two points and the potential difference across them is equal is called resistances in parallel.
    • A parallel circuit is a circuit in which the resistors are arranged with their heads connected together, and their tails connected together.

The net resistance/equivalent resistance(R) of resistances in parallel is given by:

CALCULATION:

Given that: R1 = R2 = 2 Ω 

So Resultant resistance (R) = 1 Ω 

  • The resultant resistance if two 2 Ω resistors are connected in parallel is 1 Ω. So option 2 is correct.

EXTRA POINTS:

  • Resistances in series combination: When two or more resistances are connected one after another such that the same current flows through them are called as resistances in series.

The net resistance/equivalent resistance (R) of resistances in series is given by:

Equivalent resistance, R = R1 + R2

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