The Wheatstone bridge and its balance condition provide a practical method for determination ,of an

Options

A. known resistance
B. unknown resistance
C. Both (1) and (2)
D. None of the above

Answer

To solve the question regarding the Wheatstone bridge and its balance condition for determining an unknown resistance, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Wheatstone Bridge**:
The Wheatstone bridge is an electrical circuit used to measure unknown resistances. It consists of four resistors arranged in a diamond shape.

**Hint**: Remember that the Wheatstone bridge is primarily used for measuring resistance.

2. **Components of the Wheatstone Bridge**:
The bridge consists of four resistors (let's denote them as R1, R2, R3, and R4) and a galvanometer. The resistors are connected in such a way that two pairs of resistors form the legs of the bridge.

**Hint**: Visualize the arrangement of the resistors in a diamond shape.

3. **Balancing Condition**:
The bridge is said to be balanced when the ratio of the resistances in one leg is equal to the ratio in the other leg. Mathematically, this is expressed as:
\[ \frac{R1}{R2} = \frac{R3}{R4} \]
If R4 is the unknown resistance (Rx), we can rearrange the equation to find Rx.

**Hint**: Focus on the condition for balance; it’s all about the ratios of the resistances.

4. **Finding the Unknown Resistance**:
Rearranging the balance condition gives us:
\[ R4 = Rx = \frac{R2 \times R3}{R1} \]
This formula allows us to calculate the unknown resistance if we know the values of R1, R2, and R3.

**Hint**: Make sure to keep track of which resistor is unknown and which are known.

5. **Conclusion**:
The Wheatstone bridge provides a practical method for determining an unknown resistance by balancing the two legs of the bridge circuit. When the bridge is balanced, the unknown resistance can be calculated using the known resistances.

**Hint**: Remember that the key to using a Wheatstone bridge effectively is achieving balance.

### Final Answer:
The Wheatstone bridge and its balance condition provide a practical method for the determination of an unknown resistance.