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Back to Practice Questions
ElectricalMeasurement & Instrumentation
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The multiplier and the meter coil in a voltmeter are in

A

Series

B

Parallel

C

Series-parallel

D

None of the above

Correct Answer

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

Series

Quick Summary:

In a voltmeter, the multiplier is a high-value resistor connected in series with the meter movement (usually a PMMC coil). This configuration is essential to limit the current flowing through the sensitive meter coil to a safe level, allowing it to measure higher voltage ranges than its basic full-scale deflection capability would otherwise permit.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

In a voltmeter, the multiplier is a high-value resistor connected in series with the meter movement (usually a PMMC coil). This configuration is essential to limit the current flowing through the sensitive meter coil to a safe level, allowing it to measure higher voltage ranges than its basic full-scale deflection capability would otherwise permit.

ЁЯФв Key Formulas

V=Ifsd(Rm+Rs)V = I_{fsd}(R_m + R_s)V=IfsdтАЛ(RmтАЛ+RsтАЛ) тАФ Total voltage drop across the voltmeter

Rs=Rm(VVfsdтИТ1)R_s = R_m(\frac{V}{V_{fsd}} - 1)RsтАЛ=RmтАЛ(VfsdтАЛVтАЛтИТ1) тАФ Value of multiplier resistor required for a desired voltage range

тЪЩя╕П Working Principle

The basic meter coil has a very low internal resistance (RmR_mRmтАЛ). By connecting a large resistor (RsR_sRsтАЛ) in series, the total resistance of the voltmeter becomes Rv=Rs+RmR_v = R_s + R_mRvтАЛ=RsтАЛ+RmтАЛ. According to Ohm's Law, I=V/RvI = V / R_vI=V/RvтАЛ, which ensures that even at high input voltages, the current III remains proportional to the voltage but is maintained below the full-scale deflection current (IfsdI_{fsd}IfsdтАЛ) of the meter.

ЁЯУМ Key Points
  • тЦ╕

    The multiplier resistor is constructed from high-stability materials like Manganin or Constantan.

  • тЦ╕

    A voltmeter is always connected in parallel with the circuit element whose voltage is to be measured.

  • тЦ╕

    The sensitivity of the voltmeter is defined in ╬й/V\Omega/V╬й/V and is the reciprocal of the full-scale deflection current (S=1IfsdS = \frac{1}{I_{fsd}}S=IfsdтАЛ1тАЛ).

тЬЕ Advantages
  • тЦ╕

    Enables measurement of high voltages using a low-range meter.

  • тЦ╕

    Increases the input resistance of the voltmeter, minimizing loading effects on the circuit under test.

тЭМ Disadvantages / Limitations
  • тЦ╕

    High-value resistors can lead to thermal drift if not temperature-compensated.

  • тЦ╕

    Increases the overall physical size of the instrument.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Analog Multimeters (VOM)

  • тЦ╕

    DC Voltmeter range extension

  • тЦ╕

    Switchboard panel meters

ЁЯУД Additional Information
  • тЦ╕

    The multiplier must have high resistance to ensure the voltmeter draws negligible current from the circuit, preserving measurement accuracy.

  • тЦ╕

    Option B (Parallel) is incorrect because connecting a resistor in parallel with a meter movement would shunt current away from the coil, which is the principle used in Ammeters, not Voltmeters.

ЁЯУК Diagram / Illustration
Voltmeter CircuitMultiplier (RтВЫ)Meter (RтВШ)
тЬЕ

A is correct тАФ The multiplier is connected in series with the meter coil to limit the current and extend the voltage range of the instrument.

Core Concepts Used
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Voltmeter Multiplier PMMC Instrument Ohm's Law
ЁЯТб EXAM TIP

Always remember: Ammeters use a parallel shunt to bypass current, while Voltmeters use a series multiplier to restrict current.

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