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Electrical and Electronic Measurements Test 5

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Electrical and Electronic Measurements Test 5
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  • Question 1
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    A voltmeter of 1 kΩ resistance and a mili ammeter of 1 Ω resistance are used to measure a unknown resistance by voltmeter-ammeter method. If the voltmeter is connected directly in series with the unknown resistance. If the voltmeter reads 50 V and milli ammeter reads 100 mA, then the magnitude of percentage error in the value of measured resistance is 

    Solution

    Voltmeter reading (V) = 50 V

    Milli ammeter reading (I) = 100 mA

    \(Measrued\;resistance\;\left( {{R_m}} \right) = \frac{V}{I} = \frac{{50}}{{100 \times {{10}^{ - 3}}}} = 500\;{\rm{\Omega }}\) 

    Ammeter is connected in to load side. So, the error will be voltage drop across ammeter.

    True voltage drop across resistance = Voltmeter reading – Voltage drop across ammeter

    = 50 – (1) (100 × 10-3) = 49.9 V

    \(True\;value\;of\;resistance\;\left( {{R_T}} \right) = \frac{{49.9}}{{100 \times {{10}^{ - 3}}}} = 499\;{\rm{\Omega }}\) 

    \(Percentage\;error = \frac{{{R_m} - {R_T}}}{{{R_T}}} \times 100\) 

    \( = \frac{{500 - 499}}{{499}} \times 100 = 0.2\% \) 

  • Question 2
    1 / -0
    A length of label is tested for insulation resistance by loss of charge method. An electrostatic voltmeter of infinite resistance is connected between the cable conductor such that joint capacitance is 500 μF. If the voltage falls from 400 V to 100 V in one minute then the insulation resistance of the cable will be _______ (in k Ω)
    Solution

    Insulation resistance of the cable is,

    \(R = \frac{{0.4343\;t}}{{C\;log\;\left( {\frac{V}{v}} \right)}}\)

    \(\Rightarrow R = \frac{{0.4343 \times 60}}{{500 \times {{10}^{ - 6}}\log \left( {\frac{{400}}{{100}}} \right)}}\)

    ⇒ R = 86.56 kΩ
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