Three resistance P, Q, R each of 2 Ω Ω and an unknown resistance S form the four arms of a Wheatstone’s bridge circuit. When a resistance of 6 Ω Ω is connected in parallel to S the bridge gets balanced. What is the value of S?
Text Solution
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The bridge formed with given resistances is a balanced Wheatstone’s bridge.
The situation can be depicted as shown in figure.
As resistances S and 6 Ω Ω are in parallel their effective resistance is
Ω Ω
As the bridge is balanced, hence it is balanced Wheatstone's bridge.
For balancing condition,
or 
or 
or 
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