What is the value of equivalent resistance if the resistor 10 Ω is parallel to 20 Ω? 

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  1. 30 Ω 
  2. 12.68 Ω 
  3. 6.67Ω
  4. 3.28 Ω

Answer (Detailed Solution Below)

Option 3 : 6.67Ω
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The correct answer is option 3 i.e. 6.67Ω

Concept :

Resistance in Parallel :

  • In this parallel connection, the end terminals of all resistances are connected to the same two nodes.
  • The voltage drop across all resistances is the same.
  • RAB = R1 || R2 || R3 ............... || Rn

 

Calculation :

Let RAB is an equivalence resistance of 10 Ω and 20 Ω which is connected in parallel.

RAB  = 6.67Ω

Additional Information Resistance in Series:

  • In this series connection, all resistances are connected in a single line by an end-to-end.
  • The current is the same in all resistances.
  • RAB = R+ R2 + R3 + .................. + Rn

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