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Question

Determine the value of current (in mA) required for the full-scale deflection of a voltmeter when the sensitivity of the voltmeter is 125 Ohms/Volt.

The correct answer is
8

To determine the value of current required for the full-scale deflection of a voltmeter, we need to understand the concept of voltmeter sensitivity. The sensitivity of a voltmeter is given as 125 Ohms/Volt, which informs us how much resistance the voltmeter has per volt of measurement.

In general, the sensitivity (\(S\)) of a voltmeter is defined as the reciprocal of the full-scale current.

The relationship is expressed as:

\(S = \frac{1}{I_{\text{full-scale}}}\)

Here, \(I_{\text{full-scale}}\) is the current required for full-scale deflection.

Given that sensitivity \(S = 125 \, \Omega/\text{V}\), we can rearrange the formula to solve for \(I_{\text{full-scale}}\):

\(I_{\text{full-scale}} = \frac{1}{S} = \frac{1}{125 \, \Omega/\text{V}}\)

First, convert Ohms/Volt into mA:

\(I_{\text{full-scale}} = \frac{1}{125} \text{ A}\)

Since the options are given in mA, convert the current from amperes (A) to milliamperes (mA):

\(I_{\text{full-scale}} = \frac{1}{125} \times 1000 \text{ mA} = 8 \text{ mA}\)

Thus, the current required for the full-scale deflection of the voltmeter is 8 mA.

This matches the correct answer in the given options: \(8 \, \text{mA}\).

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Important Questions from Sensitivity

  1. An ammeter requires a change of 3 A in its coil to produce a change in deflection of the pointer by 12 mm. Its sensitivity is

  2. During the measurement of voltage, the voltmeter responded with a 0.18-V change when the input was varied by 0.2 V. Find the sensitivity of the instrument.

  3. If the value of (1 + GH) is less than 1, then sensitivity is/has _____.
  4. There are 2 systems:

    a. An automatic washing machine

    b. An automatic intensity adjustable light bulb

    Which of these systems will be more sensitive to the variation in system's gain?

  5. Study the given table for resistance values of a platinum thermometer measured at a range of temperatures. Calculate the sensitivity of the measurement of the instrument.

    Resistance (Ω) Temperature (°C)
    200100
    205150
    210200
    215250
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