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ElectricalMeasurement & Instrumentation
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What is the disadvantage of Maxwell Bridge?

A

Inductance cannot be measured over a wide range

B

Measurement is not independent of frequency

C

Number of components is large

D

Inductance can be measured over a wide range

Correct Answer

Concept & PrincipleElectricalMeasurement & Instrumentation
Option A

Inductance cannot be measured over a wide range

Quick Summary: The Maxwell bridge is an AC bridge used to measure an unknown inductance in terms of a known capacitor. A primary disadvantage is its limited range, as it cannot be used to measure low Q-factor inductors effectively nor cover a very wide range of inductances due to the variable components required.

ЁЯТб Explanation

The Maxwell bridge is an AC bridge used to measure an unknown inductance in terms of a known capacitor. A primary disadvantage is its limited range, as it cannot be used to measure low Q-factor inductors effectively nor cover a very wide range of inductances due to the variable components required.

ЁЯФв Key Formulas

Lx=R2R3C4L_x = R_2 R_3 C_4LxтАЛ=R2тАЛR3тАЛC4тАЛ тАФ Inductance of the unknown coil in terms of bridge components

Q=╧ЙR4C4Q = \omega R_4 C_4Q=╧ЙR4тАЛC4тАЛ тАФ Quality factor of the inductor measured by the bridge

тЪЩя╕П Working Principle

The bridge operates by balancing the impedances of four arms. At balance, the product of opposite arms is equal. Since one arm contains a capacitor and a resistor in parallel to balance an inductor and resistor in series, the balance equations depend on the values of these components. If the inductor is low Q or requires large variations, the variable standard components (capacitor and resistor) become physically impractical or non-linear.

ЁЯУМ Key Points
  • тЦ╕

    Used for measuring medium-Q inductors (1<Q<101 < Q < 101<Q<10).

  • тЦ╕

    Balance equations are independent of supply frequency.

  • тЦ╕

    Variable capacitor is generally more expensive/complex than variable resistors.

  • тЦ╕

    Limited effectiveness for low Q coils because R4R_4R4тАЛ becomes excessively high.

тЬЕ Advantages
  • тЦ╕

    Frequency independent balance equations

  • тЦ╕

    Useful for comparing inductances

  • тЦ╕

    No frequency error due to series resistance

тЭМ Disadvantages / Limitations
  • тЦ╕

    Cannot measure over a wide range of inductances

  • тЦ╕

    Requires a high-quality variable capacitor

  • тЦ╕

    Not suitable for low Q coils

  • тЦ╕

    Calibration of variable capacitor is difficult

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Laboratory measurement of unknown inductors

  • тЦ╕

    Determination of magnetic properties of materials

ЁЯУД Additional Information
  • тЦ╕

    The bridge is specifically named after James Clerk Maxwell.

  • тЦ╕

    Option B is incorrect because the balance equations for a Maxwell bridge do not contain the frequency term ╧Й\omega╧Й in the final result (Lx=R2R3C4L_x = R_2 R_3 C_4LxтАЛ=R2тАЛR3тАЛC4тАЛ), making it frequency independent.

ЁЯУК Diagram / Illustration
Maxwell Bridge Impedance Balance
Z1тЛЕZ4=Z2тЛЕZ3Z_1 \cdot Z_4 = Z_2 \cdot Z_3Z1тАЛтЛЕZ4тАЛ=Z2тАЛтЛЕZ3тАЛ
Lx=R2R3C4L_x = R_2 R_3 C_4LxтАЛ=R2тАЛR3тАЛC4тАЛ
Rx=R2R3R4R_x = (R_2 R_3 / R_4)RxтАЛ=R4тАЛR2тАЛR3тАЛтАЛ
Frequency Independent Balance Condition
тЬЕ

A is correct тАФ The Maxwell Bridge is not suitable for measuring inductances over an extremely wide range, especially low Q-factor inductors, due to the physical limitations of the required variable components.

Core Concepts Used
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AC Bridges Inductance Measurement Quality Factor (Q)
ЁЯТб EXAM TIP

Always remember that while Maxwell bridge is frequency independent, Hay's bridge is a modification of Maxwell's bridge specifically designed for high Q-factor inductors.

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