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Back to Practice Questions
ElectricalMeasurement & Instrumentation
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A Maxwell Bridge can be used for the measurement of

A

High Q values

B

Intermediate Q values

C

Very low Q values

D

Low Q values

Correct Answer

Concept & PrincipleElectricalMeasurement & Instrumentation
Option C

Very low Q values

Quick Summary: The Maxwell Bridge is an AC bridge circuit specifically designed to measure unknown inductances by comparing them with a known variable standard capacitor. It is most effective for measuring inductors with low quality factor ($Q

ЁЯТб Explanation

The Maxwell Bridge is an AC bridge circuit specifically designed to measure unknown inductances by comparing them with a known variable standard capacitor. It is most effective for measuring inductors with low quality factor (Q<10Q < 10Q<10), as the bridge balance equations are independent of frequency.

ЁЯФв Key Formulas

Q=╧ЙL1R1=╧ЙR1C1Q = \frac{\omega L_1}{R_1} = \omega R_1 C_1Q=R1тАЛ╧ЙL1тАЛтАЛ=╧ЙR1тАЛC1тАЛ тАФ Quality factor of the inductor

Lx=R2R3C1L_x = R_2 R_3 C_1LxтАЛ=R2тАЛR3тАЛC1тАЛ тАФ Unknown inductance balance equation

Rx=R2R3R1R_x = \frac{R_2 R_3}{R_1}RxтАЛ=R1тАЛR2тАЛR3тАЛтАЛ тАФ Unknown resistance balance equation

тЪЩя╕П Working Principle

The Maxwell Bridge employs a parallel combination of a resistor and a capacitor in one arm to balance an inductive coil in the opposite arm. Balance is achieved when the product of the impedances of the opposite arms is equal. Since the balance equations involve Q=╧ЙLRQ = \frac{\omega L}{R}Q=R╧ЙLтАЛ, the bridge is balanced by varying the standard resistor and capacitor, making it suitable for coils where the resistance is significant relative to reactance.

ЁЯУМ Key Points
  • тЦ╕

    Used for measuring inductance in the range of 1<Q<101 < Q < 101<Q<10.

  • тЦ╕

    Independent of frequency, which reduces errors associated with harmonic components.

  • тЦ╕

    The standard capacitor is used instead of a standard inductor, which is more accurate and stable.

  • тЦ╕

    Not suitable for high Q-factor measurements (Q>10Q > 10Q>10).

тЬЕ Advantages
  • тЦ╕

    Independent of frequency during balance

  • тЦ╕

    Uses a standard capacitor which is better than a standard inductor

  • тЦ╕

    Simplified bridge equations for LLL and RRR

тЭМ Disadvantages / Limitations
  • тЦ╕

    Limited to low Q coils (1<Q<101 < Q < 101<Q<10)

  • тЦ╕

    Not suitable for very low Q (Q<1Q < 1Q<1)

  • тЦ╕

    Requires a variable capacitor which can be expensive

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Inductance measurement in audio frequency range

  • тЦ╕

    Measurement of unknown coils in medium to low Q applications

ЁЯУД Additional Information
  • тЦ╕

    For high Q measurements (Q>10Q > 10Q>10), the Hay's Bridge is preferred.

  • тЦ╕

    Option A is incorrect because high Q coils require Hay's Bridge.

  • тЦ╕

    Option C is generally considered outside the practical range, as very low Q coils exhibit significant leakage.

ЁЯУК Diagram / Illustration
Maxwell Bridge Q-Factor EquationQ = ╧Й RтВБ CтВБRтВБ = text{Arm 1 Resistance}CтВБ = text{Arm 1 Capacitance}╧Й = text{Angular Frequency}
тЬЕ

D is correct тАФ The Maxwell Bridge is primarily utilized for measuring coils with low quality factors (typically 1<Q<101 < Q < 101<Q<10).

Core Concepts Used
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AC Bridge Circuits Quality Factor ($Q$) Inductance Measurement Bridge Balance Equations
ЁЯТб EXAM TIP

Remember: Mnemonic 'Maxwell-Low' vs 'Hay-High' to instantly identify the appropriate bridge for your Q-factor requirements in competitive exams.

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