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A 3 1/2 digit voltmeter has an accuracy specification of +/- 0.4% of reading and +/- 1 digit. Determine: (i) the resolutions of the instrument. (ii) how a voltage of 0.6842 V will be displayed on the 15 V scale.

Physics

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2 parts
i

0.001 V (kwa 2V range), 0.01 V (kwa 20V range), 0.1 V (kwa 200V range)\text{0.001 V (kwa 2V range), 0.01 V (kwa 20V range), 0.1 V (kwa 200V range)}

ii

0.68 V\text{0.68 V}

Step-by-step solution

2 steps

Haya Engineer, twende na swali hili la voltmeter.

Data tuliyopewa:

  • Voltmeter ya 3123\frac{1}{2} digit.
  • Usahihi: ±0.4%\pm 0.4\% ya usomaji na ±1\pm 1 digit.
  • Voltage ya kupimwa: 0.6842 V0.6842 \ V.
  • Kiwango cha kupimia: 15 V15 \ V scale.
  1. Kokotoa resolutions za chombo.

    Voltmeter ya 3123\frac{1}{2} digit inaweza kuonyesha hadi namba 1999. Resolution ni mabadiliko madogo zaidi ambayo chombo kinaweza kuonyesha, ambayo ni 1 count ya digit ya mwisho. Resolutions hutegemea kiwango (range) kilichochaguliwa:

    • Kwenye kiwango cha 2 V2 \ V (mfano, 0.000 V0.000 \ V hadi 1.999 V1.999 \ V), resolution ni 0.001 V0.001 \ V.
    • Kwenye kiwango cha 20 V20 \ V (mfano, 0.00 V0.00 \ V hadi 19.99 V19.99 \ V), resolution ni 0.01 V0.01 \ V.
    • Kwenye kiwango cha 200 V200 \ V (mfano, 0.0 V0.0 \ V hadi 199.9 V199.9 \ V), resolution ni 0.1 V0.1 \ V.

    (i) Resolutions za chombo:

    0.001 V (kwa 2V range), 0.01 V (kwa 20V range), 0.1 V (kwa 200V range)\boxed{\text{0.001 V (kwa 2V range), 0.01 V (kwa 20V range), 0.1 V (kwa 200V range)}}
  2. Amua jinsi voltage ya 0.6842 V0.6842 \ V itaonyeshwa kwenye kiwango cha 15 V15 \ V.

    Kiwango cha 15 V15 \ V kinamaanisha kuwa voltmeter imewekwa kwenye range inayoweza kupima hadi 15 V15 \ V. Kwa voltmeter ya 3123\frac{1}{2} digit, range inayofaa zaidi ni 20 V20 \ V (ambayo huonyesha hadi 19.99 V19.99 \ V).
    Kwenye range hii ya 20 V20 \ V, resolution ni 0.01 V0.01 \ V. Hii inamaanisha kuwa usomaji utazungushwa hadi sehemu mbili za desimali.
    Voltage ya kuonyeshwa ni 0.6842 V0.6842 \ V.
    Kuzungusha 0.6842 V0.6842 \ V hadi sehemu mbili za desimali kunatoa 0.68 V0.68 \ V.

    (ii) Jinsi voltage ya 0.6842 V0.6842 \ V itaonyeshwa:

    0.68 V\boxed{\text{0.68 V}}
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