Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
Wheatstone Bridge:
- Wheatstone bridge is an arrangement of four resistance that can be used to measure one of them in terms of rest.
- Here arms AB and BC are called ratio arms and arms AC and BD are called conjugate arms.
- The bridge is said to be balanced when deflection in galvanometer is zero i.e. no current flows through the galvanometer or in other words VB = VD.
- In the balanced condition,
\(\Rightarrow \frac{P}{Q}=\frac{R}{S}\)
CALCULATION:
Given P = Q = R = S = 5Ω
- From the figure, it is clear that it is a Wheatstone bridge.
- In the given diagram,
\(\Rightarrow \frac{P}{Q}=\frac{5}{5}\)
\(\Rightarrow \frac{P}{Q}=1\) -----(1)
And
\(\Rightarrow \frac{R}{S}=\frac{5}{5}\)
\(\Rightarrow \frac{R}{S}=1\) -----(2)
- By equation 1 and equation 2 it is clear that it is a condition of the balanced wheat stone bridge and no current will flow from the resistance connected between point B and point D.
- So the current in the 1Ω resistance is zero. Hence, option 3 is correct.
Last updated on Jul 4, 2025
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