A bridge used for the measurement of capacitance is

Wein bridge

{"type":"technical","methodBadge":"Concept & Principle","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.","workingPrinciple":"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.","diagramSvg":"Schering Bridge Balance$Z_1 Z_4 = Z_2 Z_3$General Bridge Balance ConditionSource (AC)Detector","keyFormulas":["$C_x = C_s \\frac{R_4}{R_3}$ — Unknown capacitance formula","$D = \\omega C_1 R_1$ — Dissipation factor (loss measurement)"],"keyPoints":["Schering bridge is highly accurate for measuring capacitance and power factor of insulating materials.","The Wien bridge is essentially used for frequency measurement ($f = \\frac{1}{2\\pi RC}$).","Maxwell bridge is used for medium Q inductors.","Wheatstone bridge is strictly for DC resistance measurement."],"advantages":["Extremely precise for measuring dielectric loss.","Bridge balance is independent of frequency, provided frequency is stable."],"disadvantages":["Requires a high-quality standard capacitor.","Not suitable for high-Q capacitors."],"applications":["Measurement of capacitance of cables.","Determination of dielectric strength and insulating material properties."],"comparisonTable":[],"additionalInfo":["The provided question has an error; the correct bridge for capacitance measurement is the Schering bridge, not the Wien bridge.","Wien bridge is a frequency bridge; Maxwell's bridge is an inductance bridge."],"answer":"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.","correctedOptions":["Wheatstone bridge","Wein bridge","Maxwell bridge","Schering bridge"],"coreConcepts":["AC Bridge Networks","Impedance Balancing","Dissipation Factor Measurement"],"crossTopicTip":"Always remember: Maxwell measures Inductance ($L$), Schering measures Capacitance ($C$), and Wien measures Frequency ($f$)."}