wheatstone bridge

Question

In a balanced Wheatstone bridge, if P = 10 Ω, Q = 20 Ω, and R = 15 Ω, what is S?

RankGuru · Accepted Answer

1. **Balance Condition**: A Wheatstone bridge is 'balanced' when the potential difference across the galvanometer is zero, meaning no current flows through it.
   - Ratio Rule: $\frac{P}{Q} = \frac{R}{S}$.
2. **Rearrange for $S$**:
   - $S = R 	imes \frac{Q}{P}$.
3. **Substitution**:
   - $S = 15 	imes \frac{20}{10}$
   - $S = 15 	imes 2 = 30 	ext{ } \Omega$.
4. **Result**: The value of the unknown resistor $S$ is 30 Ω.

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