To understand which category Anderson's bridge belongs to, we need to know about various types of measuring circuits and the role of Anderson's bridge in particular.

Explanation:

Anderson's bridge is a specialized AC bridge used primarily for the precise measurement of inductance. Its primary operation depends on AC currents, and it specifically targets the measurement of parameters related to inductors in electrical circuits.

Reasoning:

• AC Bridge for Inductance Measurement: Anderson's bridge is used in the measurement of inductance and is therefore an AC bridge. It is an improved version of the Maxwell bridge and is used to measure an unknown inductance by balancing the bridge with known values of capacitance and resistance.
• DC Potentiometer Circuit: These circuits are generally used for voltage measurements in DC circuits, not suitable for AC measurements like inductance.
• Resonance Circuit for Frequency Measurement: Resonance circuits are typically used in the context of frequency measurement and do not directly relate to measurement of inductance using a bridge method.
• DC Bridge for Resistance Measurement: Such circuits are employed for resistance measurement involving direct currents, whereas Anderson's bridge involves inductance measurement with alternating currents.

From the above analysis, it is clear that Anderson's bridge belongs to the category of AC bridge for inductance measurement.

Conclusion: The correct option is AC \text{ bridge for inductance measurement}.