Measurement of Capacitance MCQ Quiz - Objective Question with Answer for Measurement of Capacitance - Download Free PDF
Last updated on Jun 6, 2025
Latest Measurement of Capacitance MCQ Objective Questions
Measurement of Capacitance Question 1:
In a Schering Bridge, if the known capacitor C2 = 500 pF, known resistor R3 = 5 kΩ, and the balancing resistor R4 = 1 MΩ, what is the value of the unknown capacitor Cx?
Answer (Detailed Solution Below)
Measurement of Capacitance Question 1 Detailed Solution
Schering Bridge
The value of the unknown capacitor Cx is given by:
\(C_x={C_2}{R_4\over R_3}\)
Calculation
Given, C2 = 500 pF, known resistor R3 = 5 kΩ
Balancing resistor R4 = 1 MΩ
\(C_x=500\times 10^{-12}\times {1\times 10^6\over 5\times 10^3}\)
Cx = 100 nF
Measurement of Capacitance Question 2:
What is a high voltage Schering bridge used for?
Answer (Detailed Solution Below)
Measurement of Capacitance Question 2 Detailed Solution
- The Schering bridge is an AC bridge circuit used for the measurement of capacitance, dielectric loss, and dissipation factor.
- It is designed for accurate measurement of small capacitances and insulation resistance.
- Low Voltage Schering Bridge: This is typically used to measure small capacitances at low voltages. Such setups are common for laboratory experiments or components like capacitors, cables, and small insulators under testing.
-
High Voltage Schering Bridge: When modified for high-voltage applications, the Schering bridge is used for insulation testing in transformers, power cables, or high-voltage capacitors. However, for general small capacitance measurement at low voltage, the traditional Schering bridge is more widely used.
Explanation:
Schering bridge:
Schering bridge is used for the measurement of capacitance, dissipation factor and loss angle.
In a series RC circuit, δ refers to the angle between the series combination of R, C and the voltage across the capacitance C.
‘δ’ is also known as the loss angle
Therefore, the Dissipation factor is defined as the tangent of the loss angle.
Dissipation factor = tan δ = ω CR
Note:
|
Type of Bridge |
Name of Bridge |
Used to measure |
Important |
|
DC Bridges |
Wheatstone bridge |
Medium resistance |
|
|
Corey foster’s bridge |
Medium resistance |
|
|
|
Kelvin double bridge |
Very low resistance |
|
|
|
|
Loss of charge method |
High resistance |
|
|
|
Megger |
High insulation resistance |
Resistance of cables |
|
AC Bridges |
Maxwell’s inductance bridge |
Inductance |
Not suitable to measure Q |
|
Maxwell’s inductance capacitance bridge |
Inductance |
Suitable for medium Q coil (1 < Q < 10) |
|
|
Hay’s bridge |
Inductance |
Suitable for high Q coil (Q > 10), slowest bridge |
|
|
Anderson’s bridge |
Inductance |
5-point bridge, accurate and fastest bridge (Q < 1) |
|
|
Owen’s bridge |
Inductance |
Used for measuring low Q coils |
|
|
Heaviside mutual inductance bridge |
Mutual inductance |
|
|
|
Campbell’s modification of Heaviside bridge |
Mutual inductance |
|
|
|
De-Sauty’s bridge |
Capacitance |
Suitable for perfect capacitor |
|
|
Schering bridge |
Capacitance |
Used to measure relative permittivity ,dissipation factor and loss angle |
|
|
Wein’s bridge |
Capacitance and frequency |
Harmonic distortion analyzer, used as a notch filter, used in audio and high-frequency applications |
Measurement of Capacitance Question 3:
Relative permittivity can be measured by _______ bridge.
Answer (Detailed Solution Below)
Measurement of Capacitance Question 3 Detailed Solution
Schering Bridge is used for the measurement of relative permittivity.
Additional InformationApplication of various AC & DC bridges is shown below:
|
Type of Bridge |
Name of Bridge |
Used to measure |
Important |
|
DC Bridges |
Wheatstone bridge |
Medium resistance |
|
|
Corey foster’s bridge |
Medium resistance |
|
|
|
Kelvin double bridge |
Very low resistance |
|
|
|
|
Loss of charge method |
High resistance |
|
|
|
Megger |
High insulation resistance |
Resistance of cables |
|
AC Bridges |
Maxwell’s inductance bridge |
Inductance |
Not suitable to measure Q |
|
Maxwell’s inductance capacitance bridge |
Inductance |
Suitable for medium Q coil (1 < Q < 10) |
|
|
Hay’s bridge |
Inductance |
Suitable for high Q coil (Q > 10), slowest bridge |
|
|
Anderson’s bridge |
Inductance |
5-point bridge, accurate and fastest bridge (Q < 1) |
|
|
Owen’s bridge |
Inductance |
Used for measuring low Q coils |
|
|
Heaviside mutual inductance bridge |
Mutual inductance |
|
|
|
Campbell’s modification of the Heaviside bridge |
Mutual inductance |
|
|
|
De-Sauty’s bridge |
Capacitance |
Suitable for perfect capacitor |
|
|
Schering bridge |
Capacitance |
Used to measure relative permittivity |
|
|
Wein’s bridge |
Capacitance and frequency |
Harmonic distortion analyzer, used as a notch filter, used in audio and high-frequency applications |
Measurement of Capacitance Question 4:
Which of the following bridge circuits is used for measurement of capacitance?
Answer (Detailed Solution Below)
Measurement of Capacitance Question 4 Detailed Solution
Concept:
De-Sauty bridge is used to measure the capacitance. And the bridge balance is obtained when both the capacitors are perfect.
Important Points:
|
Type of Bridge |
Name of Bridge |
Used to measure |
Important |
|
DC Bridges |
Wheatstone bridge |
Medium resistance |
|
|
Corey foster’s bridge |
Medium resistance |
|
|
|
Kelvin double bridge |
Very low resistance |
|
|
|
|
Loss of charge method |
High resistance |
|
|
|
Megger |
High insulation resistance |
Resistance of cables |
|
AC Bridges |
Maxwell’s inductance bridge |
Inductance |
Not suitable to measure Q |
|
Maxwell’s inductance capacitance bridge |
Inductance |
Suitable for medium Q coil (1 < Q < 10) |
|
|
Hay’s bridge |
Inductance |
Suitable for high Q coil (Q > 10), slowest bridge |
|
|
Anderson’s bridge |
Inductance |
5-point bridge, accurate and fastest bridge (Q < 1) |
|
|
Owen’s bridge |
Inductance |
Used for measuring low Q coils |
|
|
Heaviside mutual inductance bridge |
Mutual inductance |
|
|
|
Campbell’s modification of Heaviside bridge |
Mutual inductance |
|
|
|
De-Sauty’s bridge |
Capacitance |
Suitable for perfect capacitor |
|
|
Schering bridge |
Capacitance |
Used to measure relative permittivity |
|
|
Wein’s bridge |
Capacitance and frequency |
Harmonic distortion analyzer, used as a notch filter, used in audio and high-frequency applications |
Measurement of Capacitance Question 5:
Which type of measurement is not done by Schering bridge?
Answer (Detailed Solution Below)
Measurement of Capacitance Question 5 Detailed Solution
The correct answer is option 4.
Schering bridge is used for the measurement of capacitance and its parameters such as permittivity and dielectric loss.
Measurement of resistance, capacitance, and inductance
|
Measurement of resistance |
High resistance |
Megger circuit, Loss of charge method |
|
Medium resistance |
Substitution method, Ohmmeter, Wheatstone bridge |
|
|
Low resistance |
Kelvin double bridge, Potentiometer, Ammeter-Voltmeter method |
|
|
Measurement of inductance |
High Q value |
Hay’s bridge |
|
Medium Q value |
Maxwell Inductance Capacitance bridge |
|
|
Low Q value |
Owen’s bridge, Anderson bridge |
|
|
Measurement of capacitance |
Lossy Capacitor |
Schering bridge |
|
Lossless Capacitor |
De-Sauty’s bridge |
Top Measurement of Capacitance MCQ Objective Questions
Identify the bridge circuit shown in the circuit.
Answer (Detailed Solution Below)
Measurement of Capacitance Question 6 Detailed Solution
Download Solution PDFDe-Sauty bridge is used to measure the capacitance. And the bridge balance is obtained when both the capacitors are perfect.
Important Points:
|
Type of Bridge |
Name of Bridge |
Used to measure |
Important |
|
DC Bridges |
Wheatstone bridge |
Medium resistance |
|
|
Corey foster’s bridge |
Medium resistance |
|
|
|
Kelvin double bridge |
Very low resistance |
|
|
|
|
Loss of charge method |
High resistance |
|
|
|
Megger |
High insulation resistance |
Resistance of cables |
|
AC Bridges |
Maxwell’s inductance bridge |
Inductance |
Not suitable to measure Q |
|
Maxwell’s inductance capacitance bridge |
Inductance |
Suitable for medium Q coil (1 < Q < 10) |
|
|
Hay’s bridge |
Inductance |
Suitable for high Q coil (Q > 10), slowest bridge |
|
|
Anderson’s bridge |
Inductance |
5-point bridge, accurate and fastest bridge (Q < 1) |
|
|
Owen’s bridge |
Inductance |
Used for measuring low Q coils |
|
|
Heaviside mutual inductance bridge |
Mutual inductance |
|
|
|
Campbell’s modification of Heaviside bridge |
Mutual inductance |
|
|
|
De-Sauty’s bridge |
Capacitance |
Suitable for perfect capacitor |
|
|
Schering bridge |
Capacitance |
Used to measure relative permittivity |
|
|
Wein’s bridge |
Capacitance and frequency |
Harmonic distortion analyzer, used as a notch filter, used in audio and high-frequency applications |
Which is more suitable to measure the perfect capacitor?
Answer (Detailed Solution Below)
Measurement of Capacitance Question 7 Detailed Solution
Download Solution PDFThe correct answer is option 3.
De-Sauty’s bridge is used for the measurement of capacitance.
Owen’s bridge, Anderson’s bridge, and Hay’s bridge are used for the measurement of inductance.
Measurement of Capacitance
|
Method |
Parameters |
|
De-Sauty’s bridge |
Perfect capacitor |
|
Schering bridge |
Lossy capacitor |
Measurement of Inductance
|
Method |
Parameters |
|
Owen’s bridge |
Suitable for low Q coil (Q < 1) |
|
Maxwell bridge |
Suitable for medium Q coil (1 < Q < 10) |
|
Hay’s bridge |
Suitable for high Q coil (Q > 10) |
|
Anderson bridge |
Fastest bridge |
Identify the bridge circuit shown in the given diagram.
Answer (Detailed Solution Below)
Measurement of Capacitance Question 8 Detailed Solution
Download Solution PDFDe-Sauty bridge:
The de-Sauty bridge is suitable for the measurement of pure capacitance.
Let,
Z1 = R1
Z2 = R2
\(Z_3=\frac{1}{jω C}\)
\(Z_x=\frac{1}{jω C_x}\)
At bridge balance condition,
Z1 Z3 = Z2 Zx
\(\frac{1}{jω C}\times R_1 =R_2\times \frac{1}{jω C_x}\)
⇒ \( {C_x}{R_1}=C{R_2}\)
∴ \({C_x} = C\left( {\frac{{{R_2}}}{{{R_1}}}} \right)\)
Points to remember:
Modified De-Sauty bridge is used to find impure capacitance and Dissipation factor (D-factor)
D-factor = ω Rx Cx
Rx = Resistance of Cx (impure)
For De-Sauty's bridge, D-factor is zero because of pure capacitance (Rx = 0).
Additional Information
Hay's Bridge:
Anderson Bridge:
Kelvin Double Bridge:
High voltage Schering bridge is used for the measurement of
Answer (Detailed Solution Below)
Measurement of Capacitance Question 9 Detailed Solution
Download Solution PDFSchering bridge:
Schering bridge is used for the measurement of capacitance, dissipation factor and loss angle.
In a series RC circuit, δ refers to the angle between the series combination of R, C and the voltage across the capacitance C.
‘δ’ is also known as the loss angle
Therefore, the Dissipation factor is defined as the tangent of the loss angle.
Dissipation factor = tan δ = ω CR
Note:
|
Type of Bridge |
Name of Bridge |
Used to measure |
Important |
|
DC Bridges |
Wheatstone bridge |
Medium resistance |
|
|
Corey foster’s bridge |
Medium resistance |
|
|
|
Kelvin double bridge |
Very low resistance |
|
|
|
|
Loss of charge method |
High resistance |
|
|
|
Megger |
High insulation resistance |
Resistance of cables |
|
AC Bridges |
Maxwell’s inductance bridge |
Inductance |
Not suitable to measure Q |
|
Maxwell’s inductance capacitance bridge |
Inductance |
Suitable for medium Q coil (1 < Q < 10) |
|
|
Hay’s bridge |
Inductance |
Suitable for high Q coil (Q > 10), slowest bridge |
|
|
Anderson’s bridge |
Inductance |
5-point bridge, accurate and fastest bridge (Q < 1) |
|
|
Owen’s bridge |
Inductance |
Used for measuring low Q coils |
|
|
Heaviside mutual inductance bridge |
Mutual inductance |
|
|
|
Campbell’s modification of Heaviside bridge |
Mutual inductance |
|
|
|
De-Sauty’s bridge |
Capacitance |
Suitable for perfect capacitor |
|
|
Schering bridge |
Capacitance |
Used to measure relative permittivity ,dissipation factor and loss angle |
|
|
Wein’s bridge |
Capacitance and frequency |
Harmonic distortion analyzer, used as a notch filter, used in audio and high-frequency applications |
The dielectric loss of a capacitor can be measured by:
Answer (Detailed Solution Below)
Measurement of Capacitance Question 10 Detailed Solution
Download Solution PDFAC bridges:
The AC bridges are used for the measurement of inductance and capacitance.
Measurement of inductance:
The inductance of different values of quality factor is measured by Maxwell, Hay, Owen, and Anderson bridge.
| Maxwell's inductance bridge | inductance | Not suitable to measure Q |
| Maxwell's inductance capacitance bridge | Inductance | Suitable for medium Q coil (1 < Q < 10) |
| Hay's bridge | Inductance | Suitable for high Q coil (Q > 10), slowest bridge |
| Anderson's bridge | Inductance | 5 - point bridge, accurate and fastest bridge (Q < 1) |
| Owen's bridge | Inductance | Used for measuring low Q coils |
Measurement of capacitance:
The dielectric loss of a capacitor can be measured by the Schering bridge.
| De - Sauty's bridge | Capacitance | Suitable for perfect capacitor |
| Schering bridge | Capacitance | Used to measure relative permittivity, dielectric loss |
| Wein's bridge | Capacitance and frequency | Harmonic distortion analyzer, used as a notch filter, used in frequency applications |
With the help of which bridge are the capacitance and dielectric loss of a capacitor generally measured?
Answer (Detailed Solution Below)
Measurement of Capacitance Question 11 Detailed Solution
Download Solution PDF|
Type of Bridge |
Name of Bridge |
Used to measure |
Important |
|
DC Bridges |
Wheatstone bridge |
Medium resistance |
|
|
Corey foster’s bridge |
Medium resistance |
|
|
|
Kelvin double bridge |
Very low resistance |
|
|
|
|
Loss of charge method |
High resistance |
|
|
|
Megger |
High insulation resistance |
Resistance of cables |
|
AC Bridges |
Maxwell’s inductance bridge |
Inductance |
Not suitable to measure Q |
|
Maxwell’s inductance capacitance bridge |
Inductance |
Suitable for medium Q coil (1 < Q < 10) |
|
|
Hay’s bridge |
Inductance |
Suitable for high Q coil (Q > 10), slowest bridge |
|
|
Anderson’s bridge |
Inductance |
5-point bridge, accurate and fastest bridge (Q < 1) |
|
|
Owen’s bridge |
Inductance |
Used for measuring low Q coils |
|
|
Heaviside mutual inductance bridge |
Mutual inductance |
|
|
|
Campbell’s modification of Heaviside bridge |
Mutual inductance |
|
|
|
De-Sauty’s bridge |
Capacitance |
Suitable for perfect capacitor |
|
|
Schering bridge |
Capacitance |
Used to measure relative permittivity, dielectric loss |
|
|
Wein’s bridge |
Capacitance and frequency |
Harmonic distortion analyzer, used as a notch filter, used in audio and high-frequency applications |
Which type of the bridge circuit among the following is used for measurement of capacitance?
Answer (Detailed Solution Below)
Measurement of Capacitance Question 12 Detailed Solution
Download Solution PDFSchering Bridge:
Schering bridge is a type of AC bridge that is used to measure the dissipation factor (dielectric loss) or phase angle and capacitance.
The circuit of the Schering bridge is shown below:
When the bridge is in the balanced condition, zero current passes through the detector, which shows that the potential across the detector is zero.
At balance condition:
\(\frac{{{Z_1}}}{{{Z_2}}} = \frac{{{Z_3}}}{{{Z_4}}}\)
Z1 Z4 = Z2 Z3
Where,
\(Z_1=R_1||\frac{1}{j\omega C_1}\)
Z2 = R2
\(Z_3=\frac{1}{j\omega C_3}\)
\(Z_4=R_x+\frac{1}{j\omega C_x}\)
Relative permittivity can be measured by _______ bridge.
Answer (Detailed Solution Below)
Measurement of Capacitance Question 13 Detailed Solution
Download Solution PDFSchering Bridge is used for the measurement of relative permittivity.
Additional InformationApplication of various AC & DC bridges is shown below:
|
Type of Bridge |
Name of Bridge |
Used to measure |
Important |
|
DC Bridges |
Wheatstone bridge |
Medium resistance |
|
|
Corey foster’s bridge |
Medium resistance |
|
|
|
Kelvin double bridge |
Very low resistance |
|
|
|
|
Loss of charge method |
High resistance |
|
|
|
Megger |
High insulation resistance |
Resistance of cables |
|
AC Bridges |
Maxwell’s inductance bridge |
Inductance |
Not suitable to measure Q |
|
Maxwell’s inductance capacitance bridge |
Inductance |
Suitable for medium Q coil (1 < Q < 10) |
|
|
Hay’s bridge |
Inductance |
Suitable for high Q coil (Q > 10), slowest bridge |
|
|
Anderson’s bridge |
Inductance |
5-point bridge, accurate and fastest bridge (Q < 1) |
|
|
Owen’s bridge |
Inductance |
Used for measuring low Q coils |
|
|
Heaviside mutual inductance bridge |
Mutual inductance |
|
|
|
Campbell’s modification of the Heaviside bridge |
Mutual inductance |
|
|
|
De-Sauty’s bridge |
Capacitance |
Suitable for perfect capacitor |
|
|
Schering bridge |
Capacitance |
Used to measure relative permittivity |
|
|
Wein’s bridge |
Capacitance and frequency |
Harmonic distortion analyzer, used as a notch filter, used in audio and high-frequency applications |
Which type of measurement is not done by Schering bridge?
Answer (Detailed Solution Below)
Measurement of Capacitance Question 14 Detailed Solution
Download Solution PDFThe correct answer is option 4.
Schering bridge is used for the measurement of capacitance and its parameters such as permittivity and dielectric loss.
Measurement of resistance, capacitance, and inductance
|
Measurement of resistance |
High resistance |
Megger circuit, Loss of charge method |
|
Medium resistance |
Substitution method, Ohmmeter, Wheatstone bridge |
|
|
Low resistance |
Kelvin double bridge, Potentiometer, Ammeter-Voltmeter method |
|
|
Measurement of inductance |
High Q value |
Hay’s bridge |
|
Medium Q value |
Maxwell Inductance Capacitance bridge |
|
|
Low Q value |
Owen’s bridge, Anderson bridge |
|
|
Measurement of capacitance |
Lossy Capacitor |
Schering bridge |
|
Lossless Capacitor |
De-Sauty’s bridge |
Dissipation factor of a capacitor can be measured with:
Answer (Detailed Solution Below)
Measurement of Capacitance Question 15 Detailed Solution
Download Solution PDFDissipation factor:
The dissipation factor is defined as the value of the tendency of the dielectric material to absorb some of the energy when the AC signal is applied.
In a series RC circuit, δ refers to the angle between the series combination of R, C and the voltage across the capacitance C.
‘δ’ is also known as the loss angle
Therefore, the Dissipation factor is defined as the tangent of the loss angle.
Dissipation factor = tan δ
Schering bridge is used to measure the dissipation factor.
Important Points:
- Galvanometer is used to detect the flow of current.
- Potentiometer is used to measure the unknown voltage by comparing with a known voltage. It can be used to measure low values of voltage.
- Campbell bridge is used to measure mutual inductance.