Unknown Inductance In Anderson Bridge Calculator

Anderson Bridge Formula:

\[ L1(ab) = C(ab) \times \frac{R3(ab)}{R4(ab)} \times \left( r1(ab) \times (R4(ab) + R3(ab)) + R2(ab) \times R4(ab) \right) \]

Capacitance in Anderson Bridge (C(ab)):

Farad

Known Resistance 3 in Anderson Bridge (R3(ab)):

Ohm

Known Resistance 4 in Anderson Bridge (R4(ab)):

Ohm

Series Resistance in Anderson Bridge (r1(ab)):

Ohm

Known Resistance 2 in Anderson Bridge (R2(ab)):

Ohm

Unknown Inductance in Anderson Bridge (L1(ab)):

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1. What is the Anderson Bridge?

The Anderson Bridge is a modification of the Maxwell's inductance-capacitance bridge used for precise measurement of unknown inductance. It provides better accuracy and is particularly useful for measuring inductances with high Q factors.

2. How Does the Calculator Work?

The calculator uses the Anderson Bridge formula:

\[ L1(ab) = C(ab) \times \frac{R3(ab)}{R4(ab)} \times \left( r1(ab) \times (R4(ab) + R3(ab)) + R2(ab) \times R4(ab) \right) \]

Where:

\( L1(ab) \) — Unknown inductance in Henry
\( C(ab) \) — Capacitance in Farad
\( R3(ab) \) — Known resistance 3 in Ohm
\( R4(ab) \) — Known resistance 4 in Ohm
\( r1(ab) \) — Series resistance in Ohm
\( R2(ab) \) — Known resistance 2 in Ohm

Explanation: The formula calculates the unknown inductance by balancing the bridge circuit using known capacitance and resistance values.

3. Importance of Unknown Inductance Calculation

Details: Accurate inductance measurement is crucial for designing and analyzing electrical circuits, particularly in applications involving filters, transformers, and inductive sensors.

4. Using the Calculator

Tips: Enter all values in appropriate units (Farad for capacitance, Ohm for resistances). Ensure all resistance values are positive and capacitance is greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the advantage of Anderson Bridge over Maxwell Bridge?
A: Anderson Bridge provides more accurate measurements for inductors with higher Q factors and offers better balancing conditions.

Q2: What are typical values for the components in Anderson Bridge?
A: Capacitance values typically range from nanofarads to microfarads, while resistances range from ohms to kilo-ohms depending on the inductance being measured.

Q3: Can this bridge measure mutual inductance?
A: No, the Anderson Bridge is designed specifically for measuring self-inductance. Other bridge configurations are used for mutual inductance measurement.

Q4: What is the accuracy of Anderson Bridge measurements?
A: With precise components, Anderson Bridge can achieve accuracy within 0.1-0.5%, making it suitable for laboratory-grade measurements.

Q5: Are there any limitations to Anderson Bridge?
A: The bridge requires careful balancing and may be sensitive to frequency variations. It's also more complex than some other bridge configurations.