Unknown Resistance In Wheatstone Bridge Calculator

Wheatstone Bridge Formula:

\[ R_4 = R_3 \times \frac{R_2}{R_1} \]

Resistance 1 in Wheatstone Bridge (R₁):

Resistance 2 in Wheatstone Bridge (R₂):

Resistance 3 in Wheatstone Bridge (R₃):

Resistance 4 in Wheatstone Bridge (R₄):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Wheatstone Bridge?

The Wheatstone Bridge is an electrical circuit used to measure an unknown electrical resistance by balancing two legs of a bridge circuit. It provides highly accurate resistance measurements and is widely used in various electrical and electronic applications.

2. How Does the Calculator Work?

The calculator uses the Wheatstone Bridge formula:

\[ R_4 = R_3 \times \frac{R_2}{R_1} \]

Where:

\( R_1 \) — Known resistance value (Ω)
\( R_2 \) — Known resistance value (Ω)
\( R_3 \) — Known resistance value (Ω)
\( R_4 \) — Unknown resistance value to be calculated (Ω)

Explanation: When the bridge is balanced (no current flows through the galvanometer), the ratio of resistances in the two arms are equal, allowing calculation of the unknown resistance.

3. Importance of Wheatstone Bridge

Details: The Wheatstone Bridge is crucial for precise resistance measurements in various fields including electronics, telecommunications, and sensor applications. It provides high accuracy and sensitivity in resistance measurement.

4. Using the Calculator

Tips: Enter all three known resistance values in ohms (Ω). All values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the principle behind Wheatstone Bridge?
A: The Wheatstone Bridge works on the principle of null deflection, where the ratio of resistances in the two arms are equal when the bridge is balanced.

Q2: What are the applications of Wheatstone Bridge?
A: It's used for precise resistance measurements, strain gauge measurements, temperature measurements, and in various sensor applications.

Q3: What is the accuracy of Wheatstone Bridge measurements?
A: Wheatstone Bridge can provide very high accuracy (up to 0.1% or better) when properly calibrated and used with precision components.

Q4: Can Wheatstone Bridge measure very low resistances?
A: For very low resistances, a Kelvin Bridge (modified Wheatstone Bridge) is typically used to eliminate lead resistance effects.

Q5: What happens if the bridge is not balanced?
A: If the bridge is not balanced, current will flow through the galvanometer, and the unknown resistance cannot be accurately determined using this simple formula.