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Back to Practice Questions
ElectricalMeasurement & Instrumentation
PrevNext

A bridge used for the measurement of capacitance is

A

Wheatstone bridge

B

Wein bridge

C

Maxwell bridge

D

Schering bridge

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleElectricalMeasurement & Instrumentation
Option B

Wein bridge

Quick Summary:

The Schering bridge is the standard AC bridge used for the measurement of unknown capacitance and dissipation factor. While the Wien bridge is primarily designed for measuring unknown frequency or as a frequency-selective filter, the Schering bridge is specifically configured with a standard capacitor and a variable resistor to balance capacitive impedance networks.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

The Schering bridge is the standard AC bridge used for the measurement of unknown capacitance and dissipation factor. While the Wien bridge is primarily designed for measuring unknown frequency or as a frequency-selective filter, the Schering bridge is specifically configured with a standard capacitor and a variable resistor to balance capacitive impedance networks.

ЁЯФв Key Formulas

Cx=CsR4R3C_x = C_s \frac{R_4}{R_3}CxтАЛ=CsтАЛR3тАЛR4тАЛтАЛ тАФ Unknown capacitance formula

D=╧ЙC1R1D = \omega C_1 R_1D=╧ЙC1тАЛR1тАЛ тАФ Dissipation factor (loss measurement)

тЪЩя╕П Working Principle

The Schering bridge operates by balancing four arms of an AC bridge. One arm contains the unknown capacitor in series with a resistor, while the adjacent arm contains a standard high-quality capacitor. By adjusting the variable resistance and a parallel capacitor across one of the arms, the bridge reaches null balance where the potential at the detector terminals is zero.

ЁЯУМ Key Points
  • тЦ╕

    Schering bridge is highly accurate for measuring capacitance and power factor of insulating materials.

  • тЦ╕

    The Wien bridge is essentially used for frequency measurement (f=12╧АRCf = \frac{1}{2\pi RC}f=2╧АRC1тАЛ).

  • тЦ╕

    Maxwell bridge is used for medium Q inductors.

  • тЦ╕

    Wheatstone bridge is strictly for DC resistance measurement.

тЬЕ Advantages
  • тЦ╕

    Extremely precise for measuring dielectric loss.

  • тЦ╕

    Bridge balance is independent of frequency, provided frequency is stable.

тЭМ Disadvantages / Limitations
  • тЦ╕

    Requires a high-quality standard capacitor.

  • тЦ╕

    Not suitable for high-Q capacitors.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Measurement of capacitance of cables.

  • тЦ╕

    Determination of dielectric strength and insulating material properties.

ЁЯУД Additional Information
  • тЦ╕

    The provided question has an error; the correct bridge for capacitance measurement is the Schering bridge, not the Wien bridge.

  • тЦ╕

    Wien bridge is a frequency bridge; Maxwell's bridge is an inductance bridge.

ЁЯУК Diagram / Illustration
Schering Bridge Balance
Z1Z4=Z2Z3Z_1 Z_4 = Z_2 Z_3Z1тАЛZ4тАЛ=Z2тАЛZ3тАЛ
General Bridge Balance ConditionSource (AC)Detector
тЬЕ

B is technically incorrect as the standard bridge for capacitance is the Schering bridge, though the Wien bridge is listed in the provided 'Correct Answer' field.

Core Concepts Used
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AC Bridge Networks Impedance Balancing Dissipation Factor Measurement
ЁЯТб EXAM TIP

Always remember: Maxwell measures Inductance (LLL), Schering measures Capacitance (CCC), and Wien measures Frequency (fff).

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